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.

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

Academic article

• Li, Kangquan; Kaleyski, Nikolay Stoyanov (2024). Two New Infinite Families of APN Functions in Trivariate Form. (external link)
• Kaleyski, Nikolay Stoyanov; Nesheim, Kjetil Amundsen; Stănică, Pantelimon (2023). An infinite family of 0-APN monomials with two parameters. (external link)
• Imaña, José L.; Kaleyski, Nikolay Stoyanov; Budaghyan, Lilya (2023). Hardware architecture of Dillon's APN permutation for different primitive polynomials. (external link)
• Budaghyan, Lilya; Ivkovic, Ivana; Kaleyski, Nikolay Stoyanov (2022). Triplicate functions. (external link)
• Budaghyan, Lilya; Calderini, Marco; Carlet, Claude Michael et al. (2022). On Two Fundamental Problems on APN Power Functions. (external link)
• Kaleyski, Nikolay Stoyanov (2021). Invariants for EA- and CCZ-equivalence of APN and AB functions. (external link)
• Budaghyan, Lilya; Kaleyski, Nikolay Stoyanov; Riera, Constanza Susana et al. (2021). On the behavior of some APN permutations under swapping points. (external link)
• Davidova, Diana; Kaleyski, Nikolay Stoyanov (2021). Generalization of a class of APN binomials to Gold-like functions. (external link)
• Kaleyski, Nikolay Stoyanov (2021). Deciding EA-equivalence via invariants. (external link)
• Yu, Yuyin; Kaleyski, Nikolay Stoyanov; Budaghyan, Lilya et al. (2020). Classification of quadratic APN functions with coefficients in F2 for dimensions up to 9. (external link)
• Budaghyan, Lilya; Carlet, Claude Michael; Helleseth, Tor et al. (2020). On the Distance Between APN Functions. (external link)
• Budaghyan, Lilya; Helleseth, Tor; Kaleyski, Nikolay Stoyanov (2020). A New Family of APN Quadrinomials. (external link)
• Budaghyan, Lilya; Kaleyski, Nikolay Stoyanov; Riera, Constanza Susana et al. (2020). Partially APN functions with APN-like polynomial representations. (external link)
• Kaleyski, Nikolay Stoyanov (2019). Changing APN functions at two points. (external link)
• Budaghyan, Lilya; Kaleyski, Nikolay Stoyanov; Kwon, Soonhak et al. (2019). Partially APN Boolean functions and classes of functions that are not APN infinitely often. (external link)

Doctoral dissertation

• Budaghyan, Lilya; Kaleyski, Nikolay Stoyanov (2021). Towards a deeper understanding of APN functions and related longstanding problems. (external link)

Academic lecture

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

See a complete overview of publications in Cristin.