- nikolay.kaleyski@uib.no
- Visitor address
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Christies gate 12
5015 Bergen - Postal address
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P.O. Box 7803NO-5020 BergenNorway
Research
My research focuses on the analysis and construction of Boolean functions and other functions over finite fields and vector spaces with optimal cryptographic properties (APN functions, planar functions, and others). I am also interested in the design of algorithms for testing properties of such functions, and in efficient implementations of algorithms and search procedures.
Teaching
Autumn 2024: INF249: Advanced Cybersecurity
Spring 2024: INF249: Advanced Cybersecurity
Spring 2023: INF143A: Applied Cryptography
Autumn 2022: INF242: Information Theory
Spring 2022: INF143A: Applied Cryptography
Autumn 2021: INF242: Information Theory
Autumn 2020: INF242: Information Theory
Autumn 2019: INF240A Basic Codes
Publications
Academic article
- Nadiia Ichanska; Simon Knotten Berg; Nikolay Stoyanov Kaleyski et al. (2025). Pushing the QAM method for finding APN functions further. (external link)
- Ana Sălăgean; Nikolay Stoyanov Kaleyski; Ferruh Özbudak (2025). Testing generalized affine equivalence and applications to the classification of GAPN functions. (external link)
- Yuyin Yu; Jingchen Li; Nadiia Ichanska et al. (2025). Classification of quadratic APN functions with coefficients in F2 in dimension 10. (external link)
- Lilya Budaghyan; Nikolay Stoyanov Kaleyski; Constanza Susana Riera et al. (2021). On the behavior of some APN permutations under swapping points. (external link)
- Nikolay Stoyanov Kaleyski (2021). Deciding EA-equivalence via invariants. (external link)
- Lilya Budaghyan; Ivana Ivkovic; Nikolay Stoyanov Kaleyski (2022). Triplicate functions. (external link)
- Lilya Budaghyan; Nikolay Stoyanov Kaleyski; Soonhak Kwon et al. (2019). Partially APN Boolean functions and classes of functions that are not APN infinitely often. (external link)
- Lilya Budaghyan; Marco Calderini; Claude Michael Carlet et al. (2022). On Two Fundamental Problems on APN Power Functions. (external link)
- Lilya Budaghyan; Nikolay Stoyanov Kaleyski; Constanza Susana Riera et al. (2020). Partially APN functions with APN-like polynomial representations. (external link)
- Lilya Budaghyan; Tor Helleseth; Nikolay Stoyanov Kaleyski (2020). A New Family of APN Quadrinomials. (external link)
- Lilya Budaghyan; Claude Michael Carlet; Tor Helleseth et al. (2020). On the Distance Between APN Functions. (external link)
- Nikolay Stoyanov Kaleyski (2021). Invariants for EA- and CCZ-equivalence of APN and AB functions. (external link)
- Yuyin Yu; Nikolay Stoyanov Kaleyski; Lilya Budaghyan et al. (2020). Classification of quadratic APN functions with coefficients in F2 for dimensions up to 9. (external link)
- Nikolay Stoyanov Kaleyski (2019). Changing APN functions at two points. (external link)
- Nikolay Stoyanov Kaleyski; Kjetil Amundsen Nesheim; Pantelimon Stănică (2023). An infinite family of 0-APN monomials with two parameters. (external link)
- Lilya Budaghyan; José L. Imaña; Nikolay Stoyanov Kaleyski (2024). Low-Complexity Hardware Architecture of APN Permutations Using TU-Decomposition. (external link)
- Kangquan Li; Nikolay Stoyanov Kaleyski (2024). Two New Infinite Families of APN Functions in Trivariate Form. (external link)
- Samuele Andreoli; Lilya Budaghyan; Robert Coulter et al. (2025). On a classification of planar functions in characteristic three. (external link)
- José L. Imaña; Nikolay Stoyanov Kaleyski; Lilya Budaghyan (2023). Hardware architecture of Dillon's APN permutation for different primitive polynomials. (external link)
- Diana Davidova; Nikolay Stoyanov Kaleyski (2021). Generalization of a class of APN binomials to Gold-like functions. (external link)