Vitenskapelig artikkel

• Budaghyan, Lilya; Pal, Mohit (2024). Arithmetization-oriented APN permutations. (ekstern lenke)
• Imaña, José L.; Kaleyski, Nikolay Stoyanov; Budaghyan, Lilya (2023). Hardware architecture of Dillon's APN permutation for different primitive polynomials. (ekstern lenke)
• Piccione, Enrico; Andreoli, Samuele; Budaghyan, Lilya et al. (2023). An Optimal Universal Construction for the Threshold Implementation of Bijective S-Boxes. (ekstern lenke)
• Budaghyan, Lilya; Ivkovic, Ivana; Kaleyski, Nikolay Stoyanov (2022). Triplicate functions. (ekstern lenke)
• Gorodilova, A.A.; Tokareva, N.N.; Agievich, S.V. et al. (2022). An overview of the Eight International Olympiad in Cryptography "Non-Stop University CRYPTO". (ekstern lenke)
• Budaghyan, Lilya; Calderini, Marco; Carlet, Claude Michael et al. (2022). On Two Fundamental Problems on APN Power Functions. (ekstern lenke)
• Davidova, Diana; Budaghyan, Lilya; Carlet, Claude Michael et al. (2021). Relation between o-equivalence and EA-equivalence for Niho bent functions. (ekstern lenke)
• Budaghyan, Lilya; Kaleyski, Nikolay Stoyanov; Riera, Constanza Susana et al. (2021). On the behavior of some APN permutations under swapping points. (ekstern lenke)
• Calderini, Marco; Budaghyan, Lilya; Carlet, Claude Michael (2021). On Known Constructions of APN and AB Functions and their Relation to Each Other. (ekstern lenke)
• Yu, Yuyin; Kaleyski, Nikolay Stoyanov; Budaghyan, Lilya et al. (2020). Classification of quadratic APN functions with coefficients in F2 for dimensions up to 9. (ekstern lenke)
• Budaghyan, Lilya; Calderini, Marco; Carlet, Claude Michael et al. (2020). Constructing APN functions through isotopic shifts. (ekstern lenke)
• Budaghyan, Lilya; Calderini, Marco; Carlet, Claude Michael et al. (2020). Generalized isotopic shift construction for APN functions. (ekstern lenke)
• Budaghyan, Lilya; Carlet, Claude Michael; Helleseth, Tor et al. (2020). On the Distance Between APN Functions. (ekstern lenke)
• Budaghyan, Lilya; Helleseth, Tor; Kaleyski, Nikolay Stoyanov (2020). A New Family of APN Quadrinomials. (ekstern lenke)
• Budaghyan, Lilya; Kaleyski, Nikolay Stoyanov; Riera, Constanza Susana et al. (2020). Partially APN functions with APN-like polynomial representations. (ekstern lenke)
• Budaghyan, Lilya; Calderini, Marco; Villa, Irene (2020). On equivalence between known families of quadratic APN functions. (ekstern lenke)
• Budaghyan, Lilya; Li, Chunlei; Parker, Matthew Geoffrey (2019). Special Issue on Mathematical Methods for Cryptography. (ekstern lenke)
• Budaghyan, Lilya; Carlet, Claude Michael; Helleseth, Tor (2019). Special issue on Boolean Functions and Their applications. (ekstern lenke)
• Budaghyan, Lilya; Calderini, Marco; Villa, Irene (2019). On relations between CCZ- and EA-equivalences. (ekstern lenke)
• Budaghyan, Lilya; Kaleyski, Nikolay Stoyanov; Kwon, Soonhak et al. (2019). Partially APN Boolean functions and classes of functions that are not APN infinitely often. (ekstern lenke)
• Budaghyan, Lilya; Carlet, Claude Michael; Helleseth, Tor et al. (2018). On Upper Bounds for Algebraic Degrees of APN Functions. (ekstern lenke)
• Budaghyan, Lilya; Carlet, Claude; Helleseth, Tor et al. (2016). On the (non-)existence of APN (n, n)-functions of algebraic degree n. (ekstern lenke)
• Budaghyan, Lilya; Kholosa, Alexander; Carlet, Claude et al. (2016). Univariate niho bent functions from o-polynomials. (ekstern lenke)
• Budaghyan, Lilya; Carlet, Claude; Helleseth, Tor et al. (2015). On o-equivalence of Niho bent functions. (ekstern lenke)
• Budaghyan, Lilya; Kazymyrov, Oleksandr (2012). Verification of Restricted EA-Equivalence for Vectorial Boolean Functions. (ekstern lenke)
• Budaghyan, Lilya; Carlet, Claude; Helleseth, Tor et al. (2012). Generalized bent functions and their relation to Maiorana-McFarland class. (ekstern lenke)
• Budaghyan, Lilya; Carlet, Claude; Helleseth, Tor et al. (2012). Further results on Niho bent functions. (ekstern lenke)
• Budaghyan, Lilya; Helleseth, Tor (2011). New commutative semifields defined by new PN multinomials. (ekstern lenke)
• Budaghyan, Lilya; Carlet, Claude (2011). CCZ-equivalence of bent vectorial functions and related constructions. (ekstern lenke)
• Budaghyan, Lilya; Helleseth, Tor (2011). ON ISOTOPISMS OF COMMUTATIVE PRESEMIFIELDS AND CCZ-EQUIVALENCE OF FUNCTIONS. (ekstern lenke)
• Budaghyan, Lilya; Carlet, Claude (2010). CCZ-equivalence of single and multi output Boolean functions. (ekstern lenke)
• Budaghyan, Lilya; Helleseth, Tor (2010). Planar functions and commutative semifields. (ekstern lenke)
• Budaghyan, Lilya; Pott, Alexander (2009). On differential uniformity and nonlinearity of functions. (ekstern lenke)
• Budaghyan, Lilya; Carlet, Claude; Leander, Gregor (2009). Constructing new APN functions from known ones. (ekstern lenke)
• Budaghyan, Lilya; Carlet, Claude; Leander, Gregor (2008). Two classes of quadratic APN binomials inequivalent to power functions. (ekstern lenke)
• Budaghyan, Lilya; Carlet, Claude (2008). Classes of quadratic APN trinomials and hexanomials and related structures. (ekstern lenke)
• Budaghyan, Lilya; Helleseth, Tor (2008). New perfect nonlinear multinomials over F_p^{2k}}for any odd prime p. (ekstern lenke)

Leder

• Budaghyan, Lilya; Carlet, Claude; Helleseth, Tor et al. (2023). Editorial: Special issue on Boolean functions and their applications, 2022. (ekstern lenke)
• 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. (ekstern lenke)
• Budaghyan, Lilya; Carlet, Claude; Helleseth, Tor et al. (2021). Editorial: Special issue on Boolean functions and their applications 2020. (ekstern lenke)
• Budaghyan, Lilya; Carlet, Claude; Helleseth, Tor (2019). Editorial: Special issue on Boolean functions and their applications 2018. (ekstern lenke)
• Budaghyan, Lilya; Carlet, Claude; Helleseth, Tor (2019). Editorial: Special Issue on Boolean functions and their applications. (ekstern lenke)
• Budaghyan, Lilya; Carlet, Claude; Helleseth, Tor (2019). Special issue on Boolean functions and their applications 2018. (ekstern lenke)
• Budaghyan, Lilya; Helleseth, Tor; Kholosa, Alexander (2016). Editorial: Special issue on Boolean functions and their applications. (ekstern lenke)
• Budaghyan, Lilya; Helleseth, Tor; Parker, Matthew Geoffrey (2014). Editorial: Special issue on coding and cryptography. (ekstern lenke)

Doktorgradsavhandling

• Budaghyan, Lilya; Kaleyski, Nikolay Stoyanov (2021). Towards a deeper understanding of APN functions and related longstanding problems. (ekstern lenke)
• Sun, Bo; Budaghyan, Lilya (2018). On Classification and Some Properties of APN Functions. (ekstern lenke)

Vitenskapelig foredrag

• Budaghyan, Lilya; Kaleyski, Nikolay Stoyanov; Riera, Constanza Susana et al. (2020). On the sensitivity of some permutation APN functions to swapping points. (ekstern lenke)
• Budaghyan, Lilya; Kaleyski, Nikolay Stoyanov; Kwon, Soonhak et al. (2018). Partially APN Boolean functions. (ekstern lenke)

Vitenskapelig Kapittel/Artikkel/Konferanseartikkel

• Budaghyan, Lilya; Calderini, Marco; Carlet, Claude et al. (2019). On Isotopic Shift Construction for Planar Functions. (ekstern lenke)
• Budaghyan, Lilya; Helleseth, Tor; Li, Nian et al. (2017). Some Results on the Known Classes of Quadratic APN Functions. (ekstern lenke)
• Budaghyan, Lilya; Carlet, Claude; Helleseth, Tor et al. (2012). Generalized bent functions and their relation to Maiorana-McFarland class. (ekstern lenke)
• Budaghyan, Lilya; Carlet, Claude; Helleseth, Tor (2011). On bent functions associated to AB functions. (ekstern lenke)

Vitenskapelig monografi

• Budaghyan, Lilya (2018). The Equivalence of APN and AB Functions and Their Generalizations. (ekstern lenke)

Vitenskapelig antologi/Konferanseserie

• Budaghyan, Lilya; Helleseth, Tor; Parker, Matthew Geoffrey (2013). Preproceedings, The International Workshop on Coding and Cryptography WCC 2013. (ekstern lenke)

Se en full oversikt over publikasjoner i Cristin

Book

    * L.Budaghyan. The Equivalence of AB and APN Functions and Their Generalizations. VDM verlag, 2008.


Journal and conference publications

    * L.Budaghyan and C.Carlet. CCZ-equivalence of single and multi output Boolean functions. Submitted, 2009.

    * L.Budaghyan and C.Carlet. CCZ-equivalence of bent vectorial functions and related constructions. Submitted, 2009.

    * L.Budaghyan and T.Helleseth. New commutative semifields defined by new PN multinomials. Submitted, 2009.

    * L.Budaghyan, C.Carlet, G.Leander. On a construction of quadratic APN functions. Proceedings of IEEE Information Theory Workshop, ITW'09, Taormina, Sicily, Oct. 2009.

    * L.Budaghyan and T.Helleseth. On commutative semifields of a family of planar functions.  Proceedings of International Conference on Computer Science and Information Technologies 2009, Yerevan, Armenia, Sept. 2009.

    * L.Budaghyan and C.Carlet. CCZ-equivalence and Boolean functions. Book of abstracts of the 9-th International Conference on Finite Fields and Their Applications, Fq'09, Dublin, July 2009.

    * L.Budaghyan and C.Carlet. On CCZ-equivalence and its use in secondary constructions of bent functions. Preproceedings of WCC 2009, Ullensvang, Norway, May 2009.

    * L.Budaghyan, C.Carlet, G.Leander. Constructing new APN functions from known ones. Finite Fields and Their Applications 15(2), Pages 150-159, April 2009.

    * L.Budaghyan and A.Pott. On Differential Uniformity and Nonlinearity of Functions. Special Issue of Discrete Mathematics devoted to "Combinatorics 2006", 309(2), pp. 371-384, 2009.

    * L.Budaghyan and T.Helleseth. New perfect nonlinear multinomials over $F_{p^{2k}}$ for any odd prime $p$. Proceedings of SETA 2008,, Lecture Notes in Computer Science 5203, pp. 403-414, Lexington, USA, Sep. 2008.

    * L.Budaghyan, C.Carlet, G.Leander. On inequivalence between known power APN functions. Preceedings of BFCA 2008, Copenhagen, Denmark, May 2008.

    * L.Budaghyan, C.Carlet, G.Leander. Two classes of quadratic APN binomials inequivalent to power functions. IEEE Trans. Inform. Theory, 54(9), pp. 4218-4229, 2008.

    * L.Budaghyan and C.Carlet. Classes of Quadratic APN Trinomials and Hexanomials and Related Structures. IEEE Trans. Inform. Theory, 54(5), pp. 2354-2357, 2008.

    * L. Budaghyan. The Simplest Method for Constructing APN Polynomials EA-Inequivalent to Power Functions. Proceedings of WAIFI 2007, PP. 177-188, Madrid, Spain, June 2007.

    * L.Budaghyan, C.Carlet, G.Leander. Another class of quadratic APN binomials over $\F_{2^n}$: the case $n$ divisible by 4. Proceedings of the International Workshop on Coding and Cryptography, WCC 2007, dedicated to the memory of Hans Dobbertin, pp. 49-58, Versailles, France, Apr. 2007.

   * L.Budaghyan, C.Carlet, P.Felke, G.Leander. An infinite class of quadratic APN functions which are not equivalent to power mappings. Proceedings of the IEEE International Symposium on Information Theory 2006, Jul. 2006.

    * L.Budaghyan, C.Carlet, A.Pott. New Classes of Almost Bent and Almost Perfect Nonlinear Functions. IEEE Trans. Inform. Theory, vol. 52, no. 3, pp. 1141- 1152, March 2006.

    * L.Budaghyan. On APN and AB polynomials which are not equivalent to power functions. Book of Abstracts of the Workshop on Groebner Bases in Cryptography, Coding Theory, and Algebraic Combinatorics, Linz, Austria, May 2006.

    * L.Budaghyan, C.Carlet, A.Pott. New Constructions of Almost Bent and Almost Perfect Nonlinear Functions. Proceedings of the Workshop on Coding and Cryptography 2005, P.Charpin and O.Ytrehus eds., pp. 306-315, Bergen, Norway, March 2005.

    * L.Budaghyan, A.Pott. Differentially Uniform and Nonlinear functions. YACC04, Book of Abstracts, Porquerolles, France, June 2004.

    * L.Budaghyan, Yu.M.Movsisyan. On Elementary Decidability of Quasi-Boolean Algebras. Book of Abstracts of International Conference "Mathematics in Armenia", Tsahkadzor, Armenia, Oct. 2003.

    * L.Budaghyan. Elementary Classification of Quasi-Boolean Algebras. Scientific Notes of YSU, 3(199), pp.~12-20, 2002.

    * L.Budaghyan, Yu.M.Movsisyan. On Hyperidentities of Algebraic Systems. Proceedings of International Conference on Computer Science and Information Technologies 2001, Yerevan, Armenia, 2001.

    * L.Budaghyan, Yu.M.Movsisyan. On Algebras with Hyperidentities of Boolean Algebras. Proceedings of Algebra International Conference Dedicated to the 100-th Anniversary of P.~S.~Novikov, Moscow, Russia, 2001.


PhD Thesis and Scientific Report

    * L.Budaghyan. The Equivalence of Almost Bent and Almost Perfect Nonlinear Functions and Their Generalizations. PhD Thesis, Otto-von-Guericke-University Magdeburg, Dec. 2005.

    * L.Budaghyan. Classification and decidability of the elementary theories of algebras with hyperidentities of Boolean algebras. Scientific Report. Yerevan State University, 2002.