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Hassan, Sumeyra; Panayirci, Erdal; Helleseth, Tor
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Bao, Furong; Xia, Yongbo; Chen, Shaoping
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Shi, Minjia; Li, Shitao; Helleseth, Tor
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Helleseth, Tor; Li, Chunlei; Xia, Yongbo
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Xia, Yongbo; Li, Chunlei; Bao, Furong
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Shi, Minjia; Li, Shitao; Helleseth, Tor
(2024). The Weight Enumerator Polynomials of the Lifted Codes of the Projective Solomon-Stiffler Codes. (external link)
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Xia, Yongbo; Bao, Furong; Chen, Shaoping
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Yuan, Qin; Li, Chunlei; Zeng, Xiangyong
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Wu, GaoFei; Feng, Keqin; Li, Nian
et al. (2023). New Results on the -1 Conjecture on Cross-Correlation of m-Sequences Based on Complete Permutation Polynomials. (external link)
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Shi, Minjia; Helleseth, Tor; Özbudak, Ferruh
(2023). Covering Radius of Generalized Zetterberg Type Codes Over Finite Fields of Odd Characteristic. (external link)
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Shi, Minjia; Qian, Liqin; Helleseth, Tor
et al. (2023). Five-weight codes from three-valued correlation of M-sequences. (external link)
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Shi, Minjia; Zhu, Hongwei; Helleseth, Tor
(2023). The Connections Among Hamming Metric, b-Symbol Metric, and r-th Generalized Hamming Metric. (external link)
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Li, Kangquan; Li, Chunlei; Helleseth, Tor
et al. (2023). Further investigations on permutation based constructions of bent functions. (external link)
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Yan, Haode; Xia, Yongbo; Li, Chunlei
et al. (2022). The Differential Spectrum of the Power Mapping x<sup>p</sup>n<sup>-3</sup>. (external link)
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Zhu, Hongwei; Shi, Minjia; Wang, Xiaoqiang
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Zhang, Dan; Helleseth, Tor
(2022). Sequences with Good Correlations Based on Circular Florentine Arrays. (external link)
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Shi, Minjia; Helleseth, Tor; Ozbudak, Ferruh
et al. (2022). Covering Radius of Melas Codes. (external link)
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Man, Yuying; Xia, Yongbo; Li, Chunlei
et al. (2022). On the differential properties of the power mapping x^{p^m+2}. (external link)
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Li, Kangquan; Li, Chunlei; Helleseth, Tor
et al. (2021). Binary Linear Codes With Few Weights From Two-to-One Functions. (external link)
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Davidova, Diana; Budaghyan, Lilya; Carlet, Claude Michael
et al. (2021). Relation between o-equivalence and EA-equivalence for Niho bent functions. (external link)
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Luo, Gaojun; Cao, Xiwang; Shi, Minjia
et al. (2021). Three New Constructions of Asymptotically Optimal Periodic Quasi-Complementary Sequence Sets With Small Alphabet Sizes. (external link)
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Helleseth, Tor; Katz, Daniel J.; Li, Chunlei
(2021). The Resolution of Niho's Last Conjecture Concerning Sequences, Codes, and Boolean Functions. (external link)
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Shi, Minjia; Helleseth, Tor; Solé, Patrick
(2021). Strongly regular graphs from reducible cyclic codes. (external link)
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Li, Kangquan; Li, Chunlei; Helleseth, Tor
et al. (2021). Cryptographically strong permutations from the butterfly structure. (external link)
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Li, Kangquan; Li, Chunlei; Helleseth, Tor
et al. (2021). A Complete Characterization of the APN Property of a Class of Quadrinomials. (external link)
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Shi, Minjia; Wang, Shukai; Helleseth, Tor
et al. (2021). Quadratic residue codes, rank three groups and PBIBDs. (external link)
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Budaghyan, Lilya; Helleseth, Tor; Kaleyski, Nikolay Stoyanov
(2020). A New Family of APN Quadrinomials. (external link)
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Budaghyan, Lilya; Carlet, Claude Michael; Helleseth, Tor
et al. (2020). On the Distance Between APN Functions. (external link)
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Xia, Yongbo; Zhang, Xianglai; Li, Chunlei
et al. (2020). The differential spectrum of a ternary power mapping. (external link)
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Zhang, Dan; Helleseth, Tor
(2020). New optimal sets of perfect polyphase sequences based on circular Florentine arrays. (external link)
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Li, Nian; Helleseth, Tor
(2019). New permutation trinomials from Niho exponents over finite fields with even characteristic. (external link)
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Edemsky, Vladmir; Li, Chunlei; Zeng, Xiangyong
et al. (2019). The linear complexity of generalized cyclotomic binary sequences of period p^n. (external link)
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Budaghyan, Lilya; Carlet, Claude Michael; Helleseth, Tor
(2019). Special issue on Boolean Functions and Their applications. (external link)
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Zhang, Dan; Parker, Matthew Geoffrey; Helleseth, Tor
(2019). Polyphase Zero Correlation Zone Sequences from Generalised Bent Functions. (external link)
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Yan, Haode; Zhou, Zhengchun; Weng, Jian
et al. (2019). Differential Spectrum of Kasami Power Permutations Over Odd Characteristic Finite Fields. (external link)
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Budaghyan, Lilya; Carlet, Claude Michael; Helleseth, Tor
et al. (2018). On Upper Bounds for Algebraic Degrees of APN Functions. (external link)
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Gong, Guang; Helleseth, Tor; Kumar, P. Vijay
(2018). Solomon W. Golomb - Mathematician, Engineer, and Pioneer. (external link)
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Xu, Xiaofang; Li, Chunlei; Zeng, Xiangyong
et al. (2018). Constructions of complete permutation polynomials. (external link)
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Tu, Ziran; Zeng, Xiangyong; Li, Chunlei
et al. (2018). A class of new permutation trinomials. (external link)
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Tu, Ziran; Zeng, Xiangyong; Helleseth, Tor
(2018). New permutation quadrinomials over F22m. (external link)
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Zhou, Zhengchun; Helleseth, Tor; Parampalli, Udaya
(2018). A Family of Polyphase Sequences with Asymptotically Optimal Correlation. (external link)
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Tu, Ziran; Zeng, Xiangyong; Helleseth, Tor
(2018). A class of permutation quadrinomials. (external link)
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Edemskiy, Vladimir; Li, Chunlei; Zeng, Xiangyong
et al. (2018). The linear complexity of generalized cyclotomic binary sequences of period pn. (external link)
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Zhou, Zhengchun; Zhang, Dan; Helleseth, Tor
et al. (2018). A Construction of Multiple Optimal ZCZ Sequence
Sets With Good Cross Correlation. (external link)
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Tan, Pan; Zhou, Zhengchun; Tang, Deng
et al. (2018). The weight distribution of a class of two-weight linear codes derived from Kloosterman sums. (external link)
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Sun, Zhimin; Zeng, Xiangyong; Li, Chunlei
et al. (2017). Investigations on Periodic Sequences with Maximum Nonlinear Complexity. (external link)
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Alahmadi, Adel; Alhazmi, Hussain; Ali, Shakir
et al. (2017). An analogue of the ℤ4-Goethals code in non-primitive length. (external link)
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Rønjom, Sondre; Bardeh, Navid Ghaedi; Helleseth, Tor
(2017). Yoyo tricks with AES. (external link)
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Li, Nian; Helleseth, Tor
(2017). Several classes of permutation trinomials from Niho exponents. (external link)
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Tang, Chunming; Zhou, Zhengchun; Qi, Yanfeng
et al. (2017). Generic Construction of Bent Functions and Bent Idempotents with Any Possible Algebraic Degrees. (external link)
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Xiao, Zibi; Zeng, Xiangyong; Li, Chunlei
et al. (2017). New generalized cyclotomic binary sequences of period p2. (external link)
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Xia, Yongbo; Li, Nian; Zeng, Xiangyong
et al. (2017). On the correlation distribution for a Niho decimation. (external link)
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Budaghyan, Lilya; Carlet, Claude; Helleseth, Tor
et al. (2016). On the (non-)existence of APN (n, n)-functions of algebraic degree n. (external link)
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Li, Chaoyun; Zeng, Xiangyong; Li, Chunlei
et al. (2016). Construction of de Bruijn sequences from LFSRs with reducible characteristic polynomials. (external link)
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Helleseth, Tor; Kholosa, Alexander
(2016). New ternary binomial bent functions. (external link)
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Li, Chunlei; Helleseth, Tor
(2016). Quasi-perfect linear codes from planar and APN functions. (external link)
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Alahmadi, Adel; Alhazmi, Hussain; Helleseth, Tor
et al. (2016). On the lifted Melas code. (external link)
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Xia, Yongbo; Li, Nian; Zeng, Xiangyong
et al. (2016). An open problem on the distribution of a Niho-type cross-correlation function. (external link)
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Tang, Chunming; Li, Nian; Qi, Yanfeng
et al. (2016). Linear codes with two or three weights from weakly regular bent functions. (external link)
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Budaghyan, Lilya; Kholosa, Alexander; Carlet, Claude
et al. (2016). Univariate niho bent functions from o-polynomials. (external link)
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Budaghyan, Lilya; Carlet, Claude; Helleseth, Tor
et al. (2015). On o-equivalence of Niho bent functions. (external link)
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Tu, Ziran; Zeng, Xiangyong; Li, Chunlei
et al. (2015). Permutation polynomials of the form (x(pm)-x plus delta)(s)+L(x) over the finite field F-p2m of odd characteristic. (external link)
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Li, Nian; Tang, Xiaohu; Helleseth, Tor
(2015). A class of quaternary sequences with low correlation. (external link)
-
Zhou, Zhengchun; Li, Nian; Fan, Cuiling
et al. (2015). Linear codes with two or three weights from quadratic Bent functions. (external link)
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Xia, Yongbo; Helleseth, Tor; Li, Chunlei
(2015). Some new classes of cyclic codes with three or six weights. (external link)
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Alahmadi, Adel; Alhazmi, Hussain; Helleseth, Tor
et al. (2015). On the lifted Zetterberg code. (external link)
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Wu, GaoFei; Li, Nian; Helleseth, Tor
et al. (2015). Some classes of complete permutation polynomials over $\mathbb{F}_q $. (external link)
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Li, Nian; Tang, Xiaohu; Helleseth, Tor
(2014). New M-ary sequences with low autocorrelation from interleaved technique. (external link)
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Li, Chunlei; Li, Nian; Helleseth, Tor
et al. (2014). The weight distributions of several classes of cyclic codes from APN monomials. (external link)
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Xia, Yongbo; Helleseth, Tor; Wu, Gaofei
(2014). A note on cross-correlation distribution between a ternary m-sequence and its decimated sequence. (external link)
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Wu, Gaofei; Li, Nian; Helleseth, Tor
et al. (2014). Some classes of monomial complete permutation polynomials over finite fields of characteristic two. (external link)
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Hong, Seokbeom; Park, Hosung; No, Jong-Seon
et al. (2014). Near-optimal partial hadamard codebook construction using binary sequences obtained from quadratic residue mapping. (external link)
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Xia, Yongbo; Li, Chunlei; Zeng, Xiangyong
et al. (2014). Some results on cross-correlation distribution between a p-Ary m-sequence and its decimated sequences. (external link)
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Li, Chaoyun; Zeng, Xiangyong; Helleseth, Tor
et al. (2014). The properties of a class of linear FSRs and their applications to the construction of nonlinear FSRs. (external link)
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Li, Nian; Tang, Xiaohu; Helleseth, Tor
(2014). New constructions of quadratic bent functions in polynomial form. (external link)
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Li, Nian; Li, Chunlei; Helleseth, Tor
et al. (2014). Optimal ternary cyclic codes with minimum distance four and five. (external link)
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Li, Chaoyun; Zeng, Xiangyong; Li, Chunlei
et al. (2014). A class of de Bruijn sequences. (external link)
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Xia, Yongbo; Chen, Shaoping; Helleseth, Tor
et al. (2014). Cross-correlation between a p-ary m-sequence and its all decimated sequences for d = (pm+1)(pm+p-1)/p+1. (external link)
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Ding, Cunsheng; Helleseth, Tor
(2013). Optimal ternary cyclic codes from monomials. (external link)
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Helleseth, Tor; Jansen, Cees J. A.; Kazymyrov, Oleksandr
et al. (2013). State space cryptanalysis of the MICKEY cipher. (external link)
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Jia, Wenjie; Zeng, Xiangyong; Li, Chunlei
et al. (2013). Permutation polynomials with low differential uniformity over finite fields of odd characteristic. (external link)
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Li, Nian; Helleseth, Tor; Kholosa, Alexander
et al. (2013). On the Walsh transform of a class of functions From niho exponents. (external link)
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Li, Nian; Helleseth, Tor; Tang, Xiaohu
(2013). Further results on a class of permutation polynomials over finite fields. (external link)
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Li, Nian; Helleseth, Tor; Tang, Xiaohu
et al. (2013). Several new classes of bent functions from Dillon exponents. (external link)
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Cai, Han; Zeng, Xiangyong; Helleseth, Tor
et al. (2013). A New construction of zero-difference balanced functions and its applications. (external link)
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Li, Chunlei; Helleseth, Tor
(2012). New Nonbinary Sequence Families with Low Correlation and Large Linear Span. (external link)
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Luo, Jinquan; Helleseth, Tor
(2012). Binary Niho sequences with four-valued cross correlations. (external link)
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Gong, Guang; Helleseth, Tor; Hu, Honggang
et al. (2012). On the dual of certain ternary weakly regular bent functions. (external link)
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Helleseth, Tor; Kholosa, Alexander; Mesnager, Sihem
(2012). Niho bent functions and Subiaco hyperovals. (external link)
-
Budaghyan, Lilya; Carlet, Claude; Helleseth, Tor
et al. (2012). Further results on Niho bent functions. (external link)
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Gong, Guang; Helleseth, Tor; Hu, Honggang
(2012). A three-valued walsh transform from decimations of Helleseth-Gong sequences. (external link)
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Budaghyan, Lilya; Carlet, Claude; Helleseth, Tor
et al. (2012). Generalized bent functions and their relation to Maiorana-McFarland class. (external link)
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Jia, Wenjie; Zeng, Xiangyong; Helleseth, Tor
et al. (2012). A class of binomial bent functions over the finite fields of odd characteristic. (external link)
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Gong, Guang; Rønjom, Sondre; Helleseth, Tor
et al. (2011). Fast discrete Fourier spectra attacks on stream ciphers. (external link)
-
Budaghyan, Lilya; Helleseth, Tor
(2011). New commutative semifields defined by new PN multinomials. (external link)
-
Luo, Jinquan; Helleseth, Tor
(2011). Constant Composition Codes as Subcodes of Cyclic Codes. (external link)
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Li, Nian; Tang, Xiaohu; Helleseth, Tor
(2011). Several Classes of Codes and Sequences Derived From a Z(4)-Valued Quadratic Form. (external link)
-
Helleseth, Tor; Kholosa, Alexander
(2011). Crosscorrelation of m-sequences, exponential sums, bent functions and Jacobsthal sums. (external link)
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Budaghyan, Lilya; Helleseth, Tor
(2011). ON ISOTOPISMS OF COMMUTATIVE PRESEMIFIELDS AND CCZ-EQUIVALENCE OF FUNCTIONS. (external link)
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Tang, X; Helleseth, Tor
(2011). Generic Construction of Quaternary Sequences of Period 2N With Low Correlation From Quaternary Sequences of Odd Period N. (external link)
-
Helleseth, Tor; Kholosa, Alexander; Mesnager, Sihem
(2011). Niho bent functions and Subiaco hyperovals. (external link)
-
Hassanzadeh, Mehdi; Helleseth, Tor
(2010). Security Analysis of the Step (D,K) Generator Respect to its Parameters. (external link)
-
Hassanzadeh, Mehdi; Helleseth, Tor
(2010). Algebraic Attack on the Alternating Step(r,s) Generator. (external link)
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Helleseth, Tor
(2010). Crosscorrelation of m-sequences, exponential sums and Dickson polynomials. (external link)
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Budaghyan, Lilya; Helleseth, Tor
(2010). Planar functions and commutative semifields. (external link)
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Helleseth, Tor; Kholosa, Alexander
(2010). Sequences, bent functions and Jacobsthal sums. (external link)
-
Helleseth, Tor; Kholosa, Alexander
(2010). New binomial bent functions over the finite fields of odd characteristic. (external link)
-
Helleseth, Tor; Kholosa, Alexander
(2010). New Binomial Bent Functions Over the Finite Fields of Odd Characteristic. (external link)
-
Helleseth, Tor; Kholosa, Alexander
(2010). x^{2^l}+x+a and related affine polynomials over the finite fields of GF(2^k). (external link)
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Helleseth, Tor; Hu, Lei; Kholosa, Alexander
et al. (2009). Period-different m-sequences with at most four-valued cross correlation. (external link)
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Johansen, Aina; Helleseth, Tor; Kholosa, Alexander
(2009). Further results on m-sequences with five-valued cross correlation. (external link)
-
Helleseth, Tor
(2009). Linear and nonlinear sequences and applications to stream ciphers. (external link)
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Helleseth, Tor; Hollmann, Henk; Kholosa, Alexander
et al. (2009). Proofs of two conjectures on ternary weakly regular bent functions. (external link)
-
Tang, Xiaohu; Helleseth, Tor; Hu, Lei
et al. (2009). Two new families of optimal binary sequences obtained from quaternary sequences. (external link)
-
Johansen, Aina; Helleseth, Tor
(2009). A family of $m$ -sequences with five-valued cross correlation. (external link)
-
Charpin, Pascale; Helleseth, Tor; Zinoviev, Victor
(2009). Divisibility properties of classical binary Kloosterman sums. (external link)
-
Tang, Xiaohu; Helleseth, Tor; Fan, Pingzhi
(2009). A new optimal quaternary sequence family of length 2(2(n)-1) obtained from the orthogonal transformation of Families B and C. (external link)
-
Budaghyan, Lilya; Helleseth, Tor
(2008). New perfect nonlinear multinomials over F_p^{2k}}for any odd prime p. (external link)
-
Tang, Xiaohu; Helleseth, Tor; Johansen, Aina
(2008). On the correlation distribution of Kerdock sequences. (external link)
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Charpin, Pascale; Helleseth, Tor; Zinoviev, Victor
(2008). On cosets of weight 4 of BCH(2^m, 8), m even, and exponential sums. (external link)
-
Jansen, Cees J.A.; Helleseth, Tor; Kholosha, Alexander
(2008). Cascade Jump Controlled Sequence Generator and Pomaranch Stream Cipher. (external link)
-
Helleseth, Tor; Kholosha, Alexander
(2008). $m$-Sequences of Lengths $2^{2k}-1$ and $2^k-1$ with at Most Four-Valued Cross Correlation. (external link)
-
Johansen, Aina; Helleseth, Tor; Tang, Xiaohu
(2008). The correlation distribution of quaternary sequences of period 2(2(n)-1). (external link)
-
Helleseth, Tor; Kholosa, Alexander
(2008). On the equation x(2l+1)+x+a=0 over GF(2(k)). (external link)
-
Ness, Geir Jarle; Helleseth, Tor
(2007). A new family of ternary almost perfect nonlinear mappings. (external link)
-
Rønjom, Sondre; Helleseth, Tor
(2007). A new attack on the filter generator. (external link)
-
Helleseth, Tor; Kholosa, Aleksander; Ness, Geir Jarle
(2007). Characterization of m-sequences of length 2^{2k}-1 and 2^k-1 with three-valued crosscorrelation. (external link)
-
Charpin, Pascale; Helleseth, Tor; Zinoviev, Victor
(2007). The divisibility modulo 24 of Kloosterman sums on GF(2^m), m odd. (external link)
-
Rønjom, Sondre; Gong, Guang; Helleseth, Tor
(2007). On attacks on filtering generators using linear subspace structures. (external link)
-
Rønjom, Sondre; Helleseth, Tor
(2007). The linear vector space spanned by the nonlinear filter generator. (external link)
-
Helleseth, Tor; Lahtonen, Jyrki; Rosendahl, Petri
(2007). On Niho type cross-correlation functions of m-sequences. (external link)
-
Charpin, Pascale; Helleseth, Tor; Zinoviev, Victor
(2007). Propagation characteristics of x --> x^{-1} and Kloostman sums. (external link)
-
Ding, Cunsheng; Helleseth, Tor; Kløve, Torleiv
et al. (2007). A generic construction of cartesian authentication codes. (external link)
-
Ness, Geir Jarle; Helleseth, Tor
(2007). A new family of four-valued cross correlation between m-sequences of different lengths. (external link)
-
Tang, Xiaohu; Helleseth, Tor; Hu, L.
et al. (2007). A new family of Gold-like sequences. (external link)
-
Rønjom, Sondre; Gong, Guang; Helleseth, Tor
(2007). A survey of recent attacks on the filter generator. (external link)
-
Rønjom, Sondre; Helleseth, Tor
(2007). Attacking the filter generator over GF(2^m). (external link)
-
Helleseth, Tor; Kholosa, Oleksandr
(2007). On the dual of monomial quadratic p-ary bent functions. (external link)
-
Dobbertin, Hans; Felke, Patrick; Helleseth, Tor
et al. (2006). Niho type cross-correlation functions via Dickson polynomials and Kloosterman sums. (external link)
-
Ness, Geir Jarle; Helleseth, Tor
(2006). Cross correlation of m-sequences of different lengths. (external link)
-
Charpin, Pascale; Helleseth, Tor; Zinoviev, Victor A.
(2006). The coset distribution of triple-error-correcting binary primitive BCH codes. (external link)
-
Helleseth, Tor; Jansen, Cees J.A.; Khazaei, Shahram
et al. (2006). Security of jump controlled sequence generators for stream ciphers. (external link)
-
Bassalygo, Leonid; Dodunekov, Stefan; Helleseth, Tor
et al. (2006). The Gray-Rankin bound for nonlinear codes. (external link)
-
Gong, Guang; Helleseth, Tor; Song, Hong-yeop
et al. (2006). Preface. (external link)
-
Molland, Håvard; Helleseth, Tor
(2006). Linear properties in T-functions. (external link)
-
Ness, Geir Jarle; Helleseth, Tor; Kholosa, Oleksandr
(2006). On the correlation distribution of the Coulter-Matthews decimation. (external link)
-
Ness, Geir Jarle; Helleseth, Tor
(2006). A new three-valued crosscorrelation between m-sequences of different lengths. (external link)
-
Helleseth, Tor; Kholosa, Oleksandr
(2006). Monomial and quadratic bent functions over the finite fields of odd characteristic. (external link)
-
Helleseth, Tor; Kløve, Torleiv; Levenshtein, Vladimir
(2005). Error-correction capability of binary linear codes. (external link)
-
Schaathun, Hans Georg; Helleseth, Tor
(2005). The second support weight distribution of the Kasami codes. (external link)
-
Kim, SH; No, Jong-seon; Chung, HB
et al. (2005). New cyclic relative difference sets constructed from d-homogeneous functions with difference-balanced property. (external link)
-
Helleseth, Tor; Rosendahl, Petri
(2005). New pairs of m-sequences with four-level cross-correlation. (external link)
-
Zinoviev, Victor; Helleseth, Tor; Charpin, Pascale
(2005). On cosets of weight 4 of binary BCH codes of minimum distance 8 and exponential sums. (external link)
-
Helleseth, Tor; Sarwate, Dilip; Song, Hong-yeop
et al. (2005). Preface. (external link)
-
Helleseth, Tor; Schaathun, Hans Georg
(2004). On the (2,1)-separating weight of the Kerdock code. (external link)
-
Molland, Håvard; Mathiassen, John Erik; Helleseth, Tor
(2004). Improved fast correlation attack using low rate codes. (external link)
-
Helleseth, Tor; Kløve, Torleiv; Levenshtein, Vladimir
(2004). The simplex codes and other even-weight binary linear codes for error correction. (external link)
-
Helleseth, Tor; Shin, Dong-joon; No, Jong-seon
(2004). On the p-rank and characteristic polynomials of cyclic difference sets. (external link)
-
Jang, J.w.; Kim, Y.s.; No, Jong-seon
et al. (2004). New family of p-ary sequences with optimal correlation property and large linear span. (external link)
-
Helleseth, Tor; Zinoviev, Victor
(2004). On a new identity for Kloosterman sums and nonlinear systems of equations over finite fields over characteristic 2. (external link)
-
Shin, Dong-joon; Kumar, Vijay; Helleseth, Tor
(2004). An Assmus-Mattson-type approach for identifying 3-designs from linear codes over Z_4. (external link)
-
Helleseth, Tor; Maas, Martijn; Mathiassen, John Erik
et al. (2004). Linear complexity over F_p of Sidel'nikov sequences. (external link)
-
Molland, Håvard; Helleseth, Tor
(2004). An improved correlation attack against irregular clocked and filtered keystream generators. (external link)
-
Yang, KC; Helleseth, Tor
(2004). On the minimum distance of array codes as LDPC codes. (external link)
-
No, JS; Shin, DJ; Helleseth, Tor
(2004). On the p-ranks and characteristic polynomials of cyclic difference sets. (external link)
-
Helleseth, Tor; Lahtonen, Jyrki; Ranto, Kalle
(2004). A simple proof to the minimum distance of Z_4-Linear Goethals codes,. (external link)
-
Helleseth, Tor; Mykkeltveit, Johannes
(2004). A proof of Simmons's; conjecture. (external link)
-
Zinoviev, Victor; Helleseth, Tor
(2004). On weight distributions of shifts of Goethals-like codes. (external link)
-
Helleseth, Tor; Voloch, José Felipe
(2004). Double circulant quadratic residue codes. (external link)
-
Kim, Young-Sik; Jang, Ji-Woong; No, Jong-Seon
et al. (2004). New constructions of p-ary bent sequences. (external link)
-
Schaathun, Hans Georg; Helleseth, Tor
(2003). Separating and intersecting properties of BCH and Kasami codes. (external link)
-
Shin, D.J.; Kumar, P. V.; Helleseth, Tor
(2003). 3-Designs from the $Z_4$ Goethals codes via a new Kloosterman sum identity. (external link)
-
Helleseth, Tor; Kim, S.H.; No, J.S.
(2003). Linear complexity over $F_p$ and trace representation of Lempel-Cohn-Eastman sequences. (external link)
-
Yang, K; Helleseth, Tor
(2003). On the minimum distance of array codes as LDPC codes. (external link)
-
Sze, T.W.; Chanson, S.; Ding, Cunsheng
et al. (2003). Logarithm Cartesian Authentication Codes. (external link)
-
Helleseth, Tor; Kløve, Torleiv; Levenshtein, Vladimir
(2003). Hypercubic 4 and 5-designs from double-error-correcting BCH codes. (external link)
-
Helleseth, Tor; Parker, Matthew Geoffrey
(2003). Logarithm Cartesian Authentication Codes. (external link)
-
Helleseth, Tor; Gong, G
(2002). New nonbinary sequences with ideal two-level autocorrelation function. (external link)
-
Ding, Cunsheng; Helleseth, Tor; Niederreiter, Harald
et al. (2002). The minimum distance of the duals of the binary irreducible codes. (external link)
-
Hamada, Noboru; Helleseth, Tor
(2002). The nonexistence of a ternary [97,6,63] code. (external link)
-
Dobbertin, Hans; Helleseth, Tor; Kumar, P. V.
et al. (2001). Ternary m-sequences with three-valued crosscorrelation function: Two new decimations. (external link)
-
Helleseth, Tor; Zinoviev, Victor
(2001). Codes with the same coset weight distribution as the $Z_4$-linear Goethals codes. (external link)
-
No, J.S.; Chung, H; Song, Hong-yeop
et al. (2001). New construction for binary sequences of period $p^m-1$ with optimal autocorrelation using $(z+1)^d+az^d+b$. (external link)
-
Ding, Cunsheng; Helleseth, Tor; Martinsen, Halvard
(2001). New families of binary sequences with optimal three-level autocorrelation. (external link)
-
Helleseth, Tor; Kumar, P. V.; Martinsen, Halvard
(2001). A new family of ternary sequences with ideal two-level autocorrelation function. (external link)
-
Helleseth, Tor; Rong, Chunming; Yang, K
(2001). New 3-designs for Goethals codes over $Z_4$. (external link)
-
Helleseth, Tor; Zinoviev, Victor
(2001). On coset weight distribution of the $Z_4$-linear Goethals code. (external link)
-
Helleseth, Tor; Rong, Chunming; Yang, Kyeongcheol
(2001). New 3-Designs from Goethals Codes over Z4. (external link)
-
Helleseth, Tor; Rong, Chunming; Yang, Kyeongcheol
(2001). On t-designs from Codes over Z4. (external link)
-
Helleseth, Tor; Rong, Chunming; Yang, Kyeongcheol
(2001). New 3-Designs from Goethals Codes over Z4. (external link)
-
Helleseth, Tor; Rong, Chunming; Yang, Kyeongcheol
(2001). On t-designs from Codes over Z4. (external link)
-
Shin, D.J.; Kumar, P. V.; Helleseth, Tor
(2001). 5-Designs for the lifted Golay code over Z_4 via an Assmuss-Mattson-type approach. (external link)
-
Helleseth, Tor; Rong, Chunming; Yang, K
(2001). On t-designs for codes over Z_4. (external link)
-
Hamada, Noboru; Helleseth, Tor
(2000). Arcs, blocking sets and minihypers. (external link)
-
Ding, Cunsheng; Helleseth, Tor; Lam, K. Y.
(2000). Duadic sequences of prime lengths. (external link)
-
Hamada, Noboru; Helleseth, Tor; Martinsen, Halvard
et al. (2000). There is no ternary [28,6,18] code. (external link)
-
Hamada, Noboru; Helleseth, Tor
(2000). The nonexistence of some ternary linear codes and some updates of the bounds for n_3(6,d), 1<=d<=243. (external link)
-
Chang, A; Gaal, P; Golomb, S. W.
et al. (2000). On a conjectured ideal autocorrelation sequence and a relation to a triple-error-correcting cyclic code,. (external link)
-
Rong, Chunming; Helleseth, Tor; Lahtonen, Jyrki
(1999). On Algebraic Decoding of the Z4-Linear Calderbank-McGuire Code. (external link)
-
Duursma, Iwan; Helleseth, Tor; Rong, Chunming
et al. (1999). Split weight enumerators for the Preparata Codes with applications to designs. (external link)
-
Helleseth, Tor; Rong, Chunming; Yang, Kyeongcheol
(1999). New Infinite Families of 3-Designs from Preparata Codes over Z4. (external link)
-
Helleseth, Tor; Rong, Chunming; Sandberg, Daniel
(1999). New Families of Almost Perfect Nonlinear Power Mappings. (external link)
-
Duursma, Iwan; Helleseth, Tor; Rong, Chunming
et al. (1999). Split weight enumerators for the Preparata Codes with applications to designs. (external link)
-
Helleseth, Tor; Rong, Chunming; Yang, Kyeongcheol
(1999). New Infinite Families of 3-Designs from Preparata Codes over Z4. (external link)
-
Helleseth, Tor; Rong, Chunming; Sandberg, Daniel
(1999). New Families of Almost Perfect Nonlinear Power Mappings. (external link)
-
Ding, C.; Helleseth, Tor
(1998). On cyclotomic sequences of order r. (external link)
-
Ding, C.; Helleseth, Tor
(1998). New generalized cyclotomy and its applications. (external link)
-
Yang, Kyeongcheol; Helleseth, Tor
(1998). On the weight hierarchy of the Goethals codes over Z<sub>4</sub>. (external link)
-
Ding, C.; Helleseth, Tor; Shan, W.
(1998). On the linear complexity of Legendre sequences. (external link)
-
Helleseth, Tor; Rong, Chunming; Yang, Kyeongcheol
(1998). New infinite families of 3-designs from Preparta codes over Z<SUB>4</SUB>. (external link)
-
Anderson, R.; Ding, C.; Helleseth, Tor
et al. (1998). How to build robust shared control systems. (external link)
-
Yang, Kyeongcheol; Helleseth, Tor
(1998). Two new infinite families of 3-designs from Kerdock codes over Z<SUB>4</SUB>. (external link)
-
Helleseth, Tor; Kumar, P.V.; Yang, Kyeongcheol
(1998). An infinite family of 3-designs from Preparta codes over Z<SUB>4</SUB>. (external link)
-
Yang, K.; Helleseth, Tor
(1997). On the Weight Hierarchy of Preparata Codes Over Z<sub>4</sub>. (external link)
-
Helleseth, Tor; Sandberg, D.
(1997). Some power mappings with low differential uniformity. (external link)
-
Kumar, P. V.; Helleseth, Tor
(1997). An Expansion for the Coordinates of the Trace Function over Galois Rings. (external link)
-
Helleseth, Tor; Kløve, Torleiv
(1997). The Newton radius of codes. (external link)
-
Helleseth, Tor; Kløve, Torleiv; Levenshtein, Vladimir
(1997). On the information function of an error-correcting code. (external link)
-
Boukliev, Ilya; Helleseth, Tor; Dodunekov, stefan
et al. (1997). On the [162,8,80] codes. (external link)
-
Yang, Kyeongcheol; Helleseth, Tor; Kumar, P. Vijay
et al. (1996). On the Weight Hierarchy of Kerdock Codes over Z%4. (external link)
-
Helleseth, Tor; Hamada, Noboru
(1996). The uniqueness of [87,5,57;3]-codes and the nonexistence of [258,6,171;3]-codes. (external link)
-
Helleseth, Tor; Kumar, P. Vijay
(1996). On the Weight Hierarchy of the semiprimitive codes. (external link)
-
Shanbag, Abhijit G.; Kumar, P. Vijay; Helleseth, Tor
(1996). Improved Binary Codes and Sequence Families from Z%4-Linear Codes. (external link)
-
Helleseth, Tor; Kumar, P. Vijay; Moreno, Oscar
et al. (1996). Improved Estimates via Exponential Sums for the Minimum Distance of Z%_4-Linear Trace Codes. (external link)
-
Rong, Chunming; Helleseth, Tor
(1996). Use characteristic sets to decode cyclic codes up to actual minimum distance. (external link)
-
Helleseth, Tor; Kumar, P. Vijay; Shanbhag, Abhijit
(1996). Codes with the same weight distributions as the Goethals codes and the Delsarte-Goethals codes. (external link)
-
Helleseth, Tor; Kumar, P. Vijay; Shanbhag, A. G.
(1996). Exponential sums over Galois rings and their applications. (external link)
-
Rong, Chunming; Helleseth, Tor
(1996). Use Characteristic Sets to Decode Cyclic Codes up to Actual Minimum Distance. (external link)
-
Hauge, Erik R.; Helleseth, Tor
(1996). De Bruijn sequences, irreducible codes and cyclotomy. (external link)
-
Kumar, P. V.; Helleseth, Tor; Calderbank, A. R.
et al. (1996). Large families of quaternary sequences with low correlation. (external link)
-
Calderbank, A.R.; McGuire, G.; Kumar, V.
et al. (1996). Cyclic codes over Z%e, locator polynomials, and Newton's identities. (external link)
-
Hamada, Noboru; Helleseth, Tor
(1996). A characterization of (3v%b+v%e, 3v%a+v%d;4,3)-minihyphers and projective ternary (78,5,51) codes. (external link)
-
Helleseth, Tor; Kløve, Torleiv
(1996). The weight hierarchies of some product codes. (external link)
-
Shanbhag, Abhijit G.; Kumar, P. Vijay; Helleseth, Tor
(1996). Upper Bound for a Hybrid Sum Over Galois Rings with Applications to Aperiodic Correlation of Some q-ary Sequences. (external link)
-
Helleseth, Tor; Kløve, Torleiv; Levenshtein, V. I.
et al. (1995). Bounds on the Minimum Support Weights. (external link)
-
Hamada, N.; Helleseth, Tor
(1995). Construction of some optimal ternary linear codes and the uniqueness of @<294,6,195:3@>-codes meeting the Griesmer bound. (external link)
-
Hamada, N.; Helleseth, Tor
(1995). A characterization of some @(v%b+v%c+2v%d,v%a+v%b+2v%c;4,3@)-minihypers and some @<90,5,59:3@>-codes meeting the Griesmer bound. (external link)
-
Helleseth, Tor; Kumar, P. Vijay
(1995). The weight of the Kasami codes. (external link)
-
Kumar, P. Vijay; Helleseth, Tor; Calderbank, A. R.
(1995). An Upper Bound for Weil Exponential Sums over Galois Rings and Applications. (external link)
-
Chen, X.; Reed, I. S.; Helleseth, Tor
et al. (1994). General Principles for the Algebraic Decoding of Cyclic Codes. (external link)
-
Chen, X.; Reed, I. S.; Helleseth, Tor
et al. (1994). Use of Gr@øbner Bases to Decode Binary Cyclic Codes up to the True Minimum Distance. (external link)
-
Chen, X.; Reed, I.; Helleseth, Tor
et al. (1994). Algebraic decoding of binary cyclic codes: A polynomial point of view. (external link)
-
Helleseth, Tor; Kløve, Torleiv; Ytrehus, Øyvind
(1994). Generalizations of the Griesmer bound. Error Control, Cryptography and Speech Compression. (external link)
-
Hamada, N.; Helleseth, Tor
(1994). A characterization of some Temary Codes Meeting the Griesmer Bound. (external link)
-
Hamada, N.; Helleseth, Tor; Ytrehus, Øyvind
(1993). There are exact two nonequivalent @<20,5,12;3@>-codes. (external link)
-
Hamada, N.; Helleseth, Tor
(1993). The nonexistence of @<51,5,33;3@>-codes. (external link)
-
Hamada, N.; Helleseth, Tor; Ytrehus, Øyvind
(1993). A characterization of @(2(q+1)+2,2,2;t,q@)-minihypers in PG(t,q)(t@Z3,q_e@(3,4@)). (external link)
-
Hamada, N.; Helleseth, Tor
(1993). A characterization of some q-ary codes (GF(q),q>(h-1)%2,h@Z3). (external link)
-
Hamada, N.; Helleseth, Tor; Ytrehus, Øyvind
(1993). A new class of nonbinary codes meeting the Griesmer bound. (external link)
-
Hamada, N.; Helleseth, Tor
(1993). A characterization of some @(v%c+2v%d,v%b2v%c;k-1,3@)- minihypers and some (v%<k%>-30,k,3%(k-1%)-21;3)-codes meeting the Griesmer bound. (external link)
-
Helleseth, Tor; Hamada, N.
(1992). A characterization of some @(2v%<_a+1%> + v%<_g+1%>, 2v%<_a%> + v_g; k-1,3@)-minihypers and some (n,k,3%(k-1%) - 2@.3%(_a%) - 3%(_g%);3) -codes (k @Z 3,0 @z _a <_g < k - 1) meeting the Griesmer bound. (external link)
-
Helleseth, Tor; Hamada, N.
(1992). A characterization of some linear codes over GF(4) meeting the Griesmer bound. (external link)
-
Helleseth, Tor
(1992). Projective codes meeting the Griesmer bound. (external link)
-
Helleseth, Tor
(1992). Legendre sums and codes related to QR codes. (external link)
-
Helleseth, Tor; Kløve, Torleiv; Ytrehus, Øyvind
(1992). Generalized Hamming weights of linear codes. (external link)
-
Helleseth, Tor; Hamada, N.; Ytrehus, Øyvind
(1992). On the construction of @<q%4 + q%2 - q,5,q%4 - q%3 + q%2 - 2q;q@>codes meeting the Griesmer bound. (external link)
-
Helleseth, Tor; Kløve, Torleiv
(1991). The number of cross-join pairs in maximum lenght linear sequences. (external link)
-
Helleseth, Tor; Kløve, Torleiv
(1981). On group-theoretic codes for asymmetric channels. (external link)
-
Helleseth, Tor; Kløve, Torleiv; Mykkeltveit, Johannes
(1978). On the covering radius of binary codes. (external link)
-
Helleseth, Tor; Kløve, Torleiv; Mykkeltveit, Johannes
(1977). The weight distribution of irreducible cyclic codes with block lengths n_1((q^l-1)/N). (external link)
Editorial
-
Budaghyan, Lilya; Carlet, Claude Michael; Helleseth, Tor
et al. (2024). Editorial: Special issue on Boolean functions and their applications 2023. (external link)
-
Budaghyan, Lilya; Carlet, Claude; Helleseth, Tor
et al. (2023). Editorial: Special issue on Boolean functions and their applications, 2022. (external link)
-
Budaghyan, Lilya; Carlet, Claude Michael; Ding, Cunsheng
et al. (2022). Editorial: Special issue on Boolean functions and their applications 2021: This special issue is dedicated to the 50th birthday of Vincent Rijmen. (external link)
-
Budaghyan, Lilya; Carlet, Claude; Helleseth, Tor
et al. (2021). Editorial: Special issue on Boolean functions and their applications 2020. (external link)
-
Helleseth, Tor; Mow, Wai Ho; Zhou, Zhengchun
(2020). Editorial: Special issue on sequences and their applications 2018. (external link)
-
Budaghyan, Lilya; Carlet, Claude; Helleseth, Tor
(2019). Editorial: Special Issue on Boolean functions and their applications. (external link)
-
Budaghyan, Lilya; Carlet, Claude; Helleseth, Tor
(2019). Special issue on Boolean functions and their applications 2018. (external link)
-
Budaghyan, Lilya; Carlet, Claude; Helleseth, Tor
(2019). Editorial: Special issue on Boolean functions and their applications 2018. (external link)
-
Helleseth, Tor; Preneel, Bart
(2018). Editorial: Special issue on recent trends in cryptography. (external link)
-
Budaghyan, Lilya; Helleseth, Tor; Kholosa, Alexander
(2016). Editorial: Special issue on Boolean functions and their applications. (external link)
-
Budaghyan, Lilya; Helleseth, Tor; Parker, Matthew Geoffrey
(2014). Editorial: Special issue on coding and cryptography. (external link)
-
Helleseth, Tor; Jedwab, Jonathan
(2014). Special issue editorial: Sequences and their applications. (external link)
-
Grosek, Otokar; Helleseth, Tor; Kholosa, Alexander
et al. (2010). (Guest Editorial -) Preface (NILCRYPT'10). (external link)
-
Ding, Cunsheng; Helleseth, Tor; Ytrehus, Øyvind
(2008). Special issue dedicated to Professor Torleiv Kløve for his 65th birthday - Preface. (external link)
Chapter
Academic chapter/article/Conference paper
-
Budaghyan, Lilya; Helleseth, Tor; Li, Nian
et al. (2017). Some Results on the Known Classes of Quadratic APN Functions. (external link)
-
Helleseth, Tor; Ytrehus, Øyvind
(2013). Personnummerering i Norge: Litt anvendt kodeteori og økonomi. (external link)
-
Li, Nian; Tang, Xiaohu; Helleseth, Tor
(2012). New classes of generalized boolean bent functions over Z4. (external link)
-
Budaghyan, Lilya; Carlet, Claude; Helleseth, Tor
et al. (2012). Generalized bent functions and their relation to Maiorana-McFarland class. (external link)
-
Luo, Jinquan; Helleseth, Tor
(2012). Binary Niho sequences with four-valued cross correlations. (external link)
-
Li, Chunlei; Helleseth, Tor
(2012). New nonbinary sequence families with low correlation and large linear span. (external link)
-
Gong, Guang; Helleseth, Tor; Hu, Honggang
et al. (2012). New Three-Valued Walsh Transforms from Decimations of Helleseth-Gong Sequences. (external link)
-
Budaghyan, Lilya; Carlet, Claude; Helleseth, Tor
(2011). On bent functions associated to AB functions. (external link)
-
Carlet, Claude; Helleseth, Tor; Kholosa, Alexander
et al. (2011). On the dual of bent functions with 2^r Niho exponents. (external link)
-
Helleseth, Tor; Rønjom, Sondre
(2011). Simplifying algebraic attacks with univariate analysis. (external link)
-
Luo, Jinquan; Helleseth, Tor; Kholosa, Alexander
(2011). Two nonbinary sequences with six-valued cross correlation. (external link)
-
Helleseth, Tor; Kholosa, Alexander
(2010). On Generalized bent functions. (external link)
-
Helleseth, Tor; Kholosa, Alexander
(2010). New binomial bent functions over the finite fields of odd characteristic. (external link)
-
Hassanzadeh, Mehdi; Helleseth, Tor
(2010). Algebraic attack on the more generalized clock-controlled alternating step generator. (external link)
-
Hassanzadeh, Mehdi; Helleseth, Tor
(2010). Algebraic Attack on the Second class of Modified Alternating k-Generators. (external link)
-
Helleseth, Tor; Kholosa, Alexander
(2010). Sequences, bent functions and Jacobstahl sums. (external link)
-
Hassanzadeh, Mehdi; Helleseth, Tor
(2010). Algebraic attack on the alternating step(r,s) generator. (external link)
-
Bracken, Carl; Helleseth, Tor
(2009). Triple-Error-Correcting BCH-Like Codes. (external link)
-
Helleseth, Tor; Kløve, Torleiv
(2009). Algebraic Coding Theory. (external link)
-
Helleseth, Tor
(2009). Cross-correlation of M-sequences, Exponential Sums and Dickson Polynomials. (external link)
-
Helleseth, Tor; Hojsik, Michal; Rønjom, Sondre
(2009). Algebraic Attacks on Filter and Combiner Generator. (external link)
-
Garg, Gagan; Helleseth, Tor; Kumar, Vijay
(2009). Recent Advances in Low-Correlation Sequences. (external link)
-
Helleseth, Tor; Kyureghyan, Gohar; Ness, Geir Jarle
et al. (2008). On a family of perfect nonlinear polynomials. (external link)
-
Hassanzadeh, Mehdi; Salehani, Y. E.; Abyaneh, M.R.S.
et al. (2008). Differential distinguishing attack on the Shannon stream cipher based on fault analysis. (external link)
-
Charpin, Pascale; Helleseth, Tor; Zinoviev, Victor
(2008). Divisibility properties of Kloosterman sums over finite fields of characteristic two. (external link)
-
Helleseth, Tor; Kholosha, Alexander; Johansen, Aina
(2008). m-Sequences of different lengths with four-valued cross correlation. (external link)
-
Johansen, Aina; Helleseth, Tor
(2008). Crosscorrelation of m-sequences with decimation d = (p^l + 1)/(p^k + 1). (external link)
-
Charpin, Pascale; Helleseth, Tor; Zinoviev, Victor
(2007). On binary primitive BCH codes with minimum distance 8 and exponential sums. (external link)
-
Helleseth, Tor
(2006). Optical orthogonal codes. (external link)
-
Helleseth, Tor
(2006). Sequence correlation. (external link)
-
Bassalygo, Leonid; Dodunekov, Stefan; Helleseth, Tor
et al. (2006). On a new q-ary combinatorial analog of the Grey-Rankin bound and codes meeting this bound. (external link)
-
Ness, Geir Jarle; Helleseth, Tor
(2006). Three-Valued Crosscorrelation Between m-Sequences of Different Lengths. (external link)
-
Helleseth, Tor; Kløve, Torleiv; Levenshtein, Vladimir
(2006). A bound for codes with given minimum and maximum distance. (external link)
-
Molland, Håvard; Helleseth, Tor
(2005). A linear weakness in the Klimov-Shamir T-function. (external link)
-
Charpin, Pascale; Helleseth, Tor; Zinoviev, Victor
(2005). Coset distribution of triple-error-correcting binary primitive BCH codes. (external link)
-
Helleseth, Tor; Kholosa, Oleksandr
(2005). New monomial bent functions over the finite fields of odd characteristic. (external link)
-
Helleseth, Tor; Kholosa, Oleksandr; Ness, Geir Jarle
(2005). On the correlation distribution of the Coulter-Matthews decimation. (external link)
-
Charpin, Pascale; Helleseth, Tor; Zinoviev, Victor
(2004). On binay BCH codes with minimal distance 8 and Kloosterman sums. (external link)
-
Helleseth, Tor; Lahtonen, Jyrki; Rosendahl, Petri
(2004). On certain equations over finite fields and cross-correlation of m-sequences. (external link)
-
Kim, Y.s.; Jang, J.w.; No, Jong-seon
et al. (2004). New p-ary bent sequences. (external link)
-
Helleseth, Tor; Mathiassen, John Erik; Maas, Martijn
et al. (2004). Linear complexity over F_p of Sidelnikov sequences. (external link)
-
Dodunekov, Stefan; Helleseth, Tor; Zinoviev, Victor
(2004). On q-ary Grey-Rankin bound and codes meeting this bound. (external link)
-
Helleseth, Tor; Yang, K
(2001). On binary sequences of period p^m-1 with optimal autocorrelation. (external link)
-
Helleseth, Tor
(2001). On the crosscorrelation of m-sequences and related sequences with ideal autocorrelation. (external link)
-
Helleseth, Tor; Kumar, P. V.
(1998). Sequences with low correlation. Chapter 21. (external link)
-
Helleseth, Tor; Kumar, P.V.
(1996). Pseudonoise Sequences. (external link)
-
Helleseth, Tor; Hamada, N.
(1992). On a characterization of some minihypers in PG(t,q) (q=3 or 4) and its applications to error-correcting codes. (external link)
-
Helleseth, Tor; Hamada, N.
(1992). A characterization of some minihypers and codes meeting the Griesmer bound over GF(q),q >9. (external link)
Academic anthology/Conference proceedings
-
Budaghyan, Lilya; Helleseth, Tor; Parker, Matthew Geoffrey
(2013). Preproceedings, The International Workshop on Coding and Cryptography WCC 2013. (external link)
-
Helleseth, Tor; Jedwab, Jonathan
(2012). Sequences and Their Applications - SETA 2012 7th International Conference Waterloo, ON, Canada, June 2012 Proceedings. (external link)
-
Hasan, M. Anwar; Helleseth, Tor
(2010). Arithmetic of Finite Fields, WAIFI 2010. (external link)
-
Helleseth, Tor; Kumar, P. Vijay; Ytrehus, Øyvind
(2007). 2007 IEEE Information Theory Workshop on Information Theory for Wireless Networks. (external link)
Encyclopedia article
-
Helleseth, Tor
(2011). Golomb's randomness postulates. (external link)
-
Helleseth, Tor
(2011). Cross-correlation. (external link)
-
Helleseth, Tor
(2011). Run. (external link)
-
Helleseth, Tor
(2011). Pseudo-noise sequences (PN-sequences). (external link)
-
Helleseth, Tor
(2011). De Bruijn sequence. (external link)
-
Helleseth, Tor
(2011). Sequences. (external link)
-
Helleseth, Tor
(2011). Autocorrelation. (external link)
-
Helleseth, Tor
(2011). Gap. (external link)
-
Helleseth, Tor
(2011). Maximal-length sequences. (external link)
-
Helleseth, Tor
(2005). Pseudo-noise (PN) sequence. (external link)
-
Helleseth, Tor
(2005). Pseudo-random sequence. (external link)
-
Helleseth, Tor
(2005). Cross-correlation. (external link)
-
Helleseth, Tor
(2005). Auto-correlation. (external link)
-
Helleseth, Tor
(2005). Golomb's randomness postulates. (external link)
-
Helleseth, Tor
(2005). Maximum-length sequence. (external link)
-
Helleseth, Tor
(2005). Run. (external link)
-
Helleseth, Tor
(2005). Sequences. (external link)
-
Helleseth, Tor
(2005). De Bruijn sequence. (external link)
-
Helleseth, Tor
(2005). Gap. (external link)
-
Helleseth, Tor; Kløve, Torleiv
(1999). Algebraic Coding Theory. (external link)
Reader opinion piece
Academic lecture
-
Helleseth, Tor; Kløve, Torleiv; Levenshtein, Vladimir
(2003). Error-correction capability of binary linear codes. (external link)
-
Helleseth, Tor; Kløve, Torleiv; Levenshtein, Vladimir
(2003). Bounds on error-correction capability of codes beyond half the minimum distance. (external link)
-
Helleseth, Tor; Kløve, Torleiv; Levenshtein, Vladimir
(2003). Error-correction capability of binary linear codes. (external link)
-
Helleseth, Tor; Kløve, Torleiv; Levenshtein, Vladimir
(2003). A coset count that proves that the simplex codes are not optimal for error correction. (external link)
-
Helleseth, Tor; Kløve, Torleiv; Levenshtein, Vladimir
(2003). The simplex codes are not optimal for binary symmetric channels. (external link)
-
Schaathun, Hans Georg; Helleseth, Tor
(2003). Separating and intersectiong properties of BCH and Kasami codes. (external link)
-
Molland, Håvard; Mathiassen, Jon Erik; Helleseth, Tor
(2003). Improved fast correlation attack using low rate codes. (external link)
-
Jang, J.W.; No, J.S.; Helleseth, Tor
(2003). New family of p-ary sequences with optimal correlation property and large linear span. (external link)
-
Helleseth, Tor; Gong, G
(2002). New Nonbinary Sequences with Ideal Two-Level Autocorrelation Function. (external link)
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No, J.S.; Shin, D.J.; Helleseth, Tor
(2002). On the p-ranks and Characteristic Polynomials of Cyclic Difference Sets. (external link)
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Helleseth, Tor; Kim, S.H.; No, J.S.
(2002). Linear Complexity over F_p and Trace Representation of Lempel-Cohn-Eastman Sequences. (external link)
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Helleseth, Tor
(2002). Pairs of $M$-sequences with a six-valued crosscorrelation. (external link)
-
Kim, Y.S.; Jang, J.W.; No, J.S.
et al. (2002). On $p$-ary bent functions defined on finite fields. (external link)
-
Hamada, Noboru; Helleseth, Tor
(2001). Codes and minihypers. (external link)
-
Helleseth, Tor
(2001). Correlation of m-sequences and related topics. (external link)
-
Helleseth, Tor
(2001). Sequences with good correlation properties and open problems. (external link)
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Helleseth, Tor
(2001). Sequences with good correlations and some open problems. (external link)
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Helleseth, Tor
(2001). Sequences with ideal autocorrelation. (external link)
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Helleseth, Tor; Kløve, Torleiv; Levenshtein, Vladimir
(2001). Ordered orthogonal arrays of strength 4 and 5 from double-error-correcting BCH codes. (external link)
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No, J.S.; Chung, H; Song, Hong-yeop
et al. (2000). Balanced and almost balanced binary sequences of period p^m-1 with optimal autocorrelation using the polynomial (x+1)^d+az^d+b over GF(p^m). (external link)
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Helleseth, Tor
(2000). On some ternary m-sequences with good autocorrelation and crosscorrelation. (external link)
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Helleseth, Tor; Zinoviev, Victor
(2000). On Z_4-linear Goethals codes Kloosterman sums and Dickson polynomials. (external link)
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Helleseth, Tor; Kumar, P. V.; Martinsen, Halvard
(2000). A new family of ternary sequences with ideal two-level autocorrelation function. (external link)
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Dobbertin, Hans; Helleseth, Tor; Kumar, P. V.
et al. (2000). Ternary m-sequences with three-valued crosscorrelation function: two new decimations. (external link)
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Helleseth, Tor; Zinoview, Victor
(1998). On the coset weight distributions of the Z<SUB>4</SUB>-linear Goethals codes. (external link)
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Yang, Kyeongcheol; Helleseth, Tor
(1998). Kerdock codes over C<SUB>4</SUB> and their applications to designs. (external link)
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Helleseth, Tor; Rong, Chunming; Yang, Kyeongcheol
(1998). Some 3-designs from Goethals codes over Z<SUB>4</SUB>. (external link)
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Helleseth, Tor
(1998). On the crosscorrelation of <i>m</i>-sequences and related topics. (external link)
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Helleseth, Tor; Kumar, P. V.; Martinsen, H. M.
et al. (1998). Correlation distribution of the quaternary Kasami sequences. (external link)
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Helleseth, Tor; Kløve, Torleiv; Levenshtein, Vladimir
(1997). On the information function of an error correcting code. (external link)
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Kumar, P. V.; Helleseth, Tor
(1997). An Expansion for the Coordinates of the Trace Function over Galois Rings. (external link)
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Helleseth, Tor; Kumar, P. V.; Shanbhag, A. G.
et al. (1997). On the weight hierarchy of some codes over Z<sub>4</sub>. (external link)
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Yang, Kyeongcheol; Helleseth, Tor
(1997). On the Minimum Support Weights of Goethals Codes over Z<sub>4</sub>. (external link)
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Rong, Chunming; Helleseth, Tor
(1997). The Algebraic Decoding of the Z<sub>4</sub>-Linear Calderbank-McGuire Code. (external link)
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Yang, Kyeongcheol; Helleseth, Tor
(1997). On the Generalized Hamming Weights for Preparata Codes over Z<sub>4</sub>. (external link)
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Boukliev, I.; Dodunekov, S.; Helleseth, Tor
et al. (1996). Two New Binary Optimal 8-Dimensional Codes. (external link)
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Helleseth, Tor; Kløve, Torleiv; Levenshtein, Vladimir
(1996). The Newton radius of equidistant codes. (external link)
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Helleseth, Tor; Johansson, Thomas
(1996). Universal Hash Functions from Exponential Sums over Finite Fields and Galois Rings. (external link)
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Shanbhag, Abhijit G.; Kumar, P. Vijay; Helleseth, Tor
(1995). An Upper Bound for the Extended Kloosterman Sums over Galois Rings. (external link)
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Helleseth, Tor; Kumar, P. Vijay
(1995). The Algebraic Decoding of the Z%e-Linear Goethals Code. (external link)
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Helleseth, Tor; Kumar, P. Vijay; Shanbhag, Abhijit G.
(1995). New Codes with the Same Weight Distributions as the Coethals Codes and the Delsarte-Goethals Codes. (external link)
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Chen, Xuemin; Reed, I. S.; Helleseth, Tor
(1995). On Gr@øbner Bases of the Error-Locator Ideal of Hermitian Codes. (external link)
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Shanbhag, Abhijit G.; Kumar, P. Vijay; Helleseth, Tor
(1995). An Upper Bound for the Aperiodic Correlation of Weighted-Degree CDMA Sequences. (external link)
-
Hamada, Nabour; Helleseth, Tor
(1995). A characterization of @(3v%b + v%e,3v%a + v%d;4,3@)-minihypers and projective ternary @<78,5,51@> codes. (external link)
-
Helleseth, Tor; Winjum, Eli
(1995). The Generalized Hamming Weight of Some BCH Codes and Related Codes. (external link)
-
Helleseth, Tor; Kumar, P. Vijay; Moreno, Oscar
et al. (1995). Improved Estimates for the Minimum Distance of Weighted Degree Z%e Trace Codes. (external link)
-
Hamada, Nabour; Helleseth, Tor
(1995). The nonexistence of ternary @<270,6,179@> codes and @<309,6,205@> codes. (external link)
-
Helleseth, Tor; Kumar, P. Vijay
(1995). A New Proof of the Minimum Distance of the Quaternary Preparato Code and Goethals Code. (external link)
-
Helleseth, Tor; Kumar, P. V.
(1994). Algebraic Decoding of the Goethals Code. (external link)
-
Helleseth, Tor; Kumar, P. V.
(1994). The weight hierarchy of semiprimitive codes. (external link)
-
Kumar, P. V.; Helleseth, Tor; Calderbank, A. R.
et al. (1994). Large families of quaternary sequences with low correlation. (external link)
-
Kumar, P. V.; Helleseth, Tor; Calderbank, A. R.
(1994). An upper bound for some exponential sums over Galois rings. (external link)
-
Helleseth, Tor; Kumar, P. V.
(1994). The weight hierarchy of Kasami codes. (external link)
-
Hamada, N.; Helleseth, Tor
(1993). A characterization of some temary codes meeting the Grismer bound. (external link)
-
Hauge, E.R; Helleseth, Tor
(1993). DeBruijn sequences, Irreducible Codes and Cyclotomy. (external link)
-
Helleseth, Tor
(1993). A charavterization of some tenary codes meeting the Grismer bound. (external link)
-
Helleseth, Tor; Kløve, Torleiv; Ytrehus, Øyvind
(1992). Codes, weight hierarchies and chains. (external link)
-
Helleseth, Tor; Kløve, Torleiv; Ytrehus, Øyvind
(1992). Codes and the chain condition. (external link)
-
Helleseth, Tor; Hamada, N.
(1992). On the construction of @<q%3 - q%2 + 1,4,q%3 -2q%2 + q;q@> - codes meeting the Griesmer bound. (external link)
-
Helleseth, Tor; Hamada, N.; Ytrehus, Øyvind
(1991). A new class of nonbinary codes meeting the Griesmer bound. (external link)
Report
-
Helleseth, Tor; Ytrehus, Øyvind
(2003). Lecture Notes for the International Mini-workshop: Coding for Kløve. (external link)
-
Rong, Chunming; Helleseth, Tor; Lahtonen, Jyrki
(1998). Decoding the Z4-linear Calderbank-McGuire code upto its minimum Lee distance. (external link)
-
Helleseth, Tor; Rong, Chunming; Yang, Kyeongcheol
(1997). A 3 - (2<sup>5</sup>, 7, 105) Design form Goethals Codes over Z<sub>4</sub>. (external link)
-
Helleseth, Tor; Kløve, Torleiv
(1997). Abstracts, IEEE Information Theory Workshop, Longyearbyen, July 6-12, 1997. (external link)
-
Helleseth, Tor; Rong, Chunming; Yang, Kyeongcheol
(1997). New Infinite Families of 3-Designs from Preparata Codes over Z<sub>4 </sub>. (external link)
-
Hamada, Noboru; Helleseth, Tor
(1995). Construction of some optimal ternary linear codes and the uniqueness of @<294,6,195:3@>-codes meeting the Griesmer bound. (external link)
-
Helleseth, Tor; Kløve, Torleiv; Ytrehus, Øyvind
(1993). On generalizations of the Grismer bound. (external link)
-
Helleseth, Tor; Kløve, Torleiv; Ytrehus, Øyvind
(1992). Excess sequences of codes and the chain condition. (external link)
-
Helleseth, Tor; Ytrehus, Øyvind
(1989). How to find a 33,8,14Å code. (external link)
-
Helleseth, Tor; Ytrehus, Øyvind
(1986). New bounds on the minimum lenght of binary block codes of dimension 8. (external link)
-
Helleseth, Tor; Kløve, Torleiv; Mykkeltveit, J.
(1975). The weight distribution of irreducible cyclic codes with block lengths n_1(q^l-1)/N, part I, general theory. (external link)
-
Helleseth, Tor; Kløve, Torleiv; Mykkeltveit, J.
(1975). Weight distribution of irreducible cyclic codes with block lengths n_1(q^l-1)/N, part II, some special classes and numerical results. (external link)
-
Helleseth, Tor
(1975). Gaussian sums and the crosscorrelation function between two maximal linear sequences. (external link)
-
Helleseth, Tor
(1974). Some properties of the weight distribution of crosscorrelation function between two maximal linear sequences. (external link)
Non-fiction book
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Helleseth, Tor; Kumar, P. V.; Yang, K
(2001). Sequences and their applications-SETA'01, Proceedings of SETA'01. (external link)
-
Rong, Chunming; Helleseth, Tor; Cohen, S.
et al. (1996). Use characteristic sets to decode cyclic codes up to actual minimum distance. (external link)
-
Helleseth, Tor
(1994). Advances in Cryptology - EUROCRYPT'93. Workshop on the Theory and Application of Cryptographic Techniques, May 23-27 1993, Lofthus, Norway: Proceedings. (external link)
Lecture
See a complete overview of publications in Cristin.