On a classification of planar functions in characteristic three

S Andreoli, L Budaghyan, R Coulter… - arXiv preprint arXiv …, 2024 - arxiv.org
Planar functions are functions over a finite field that have optimal combinatorial properties
and they have applications in several branches of mathematics, including algebra …

Pushing the QAM method for finding APN functions further

N Ichanska, S Berg, NS Kaleyski, Y Yu - Cryptology ePrint Archive, 2024 - eprint.iacr.org
APN functions offer optimal resistance to differential attacks and are instrumental in the
design of block ciphers in cryptography. While finding APN functions is very difficult in …

Computational searches for quadratic APN functions with subfield coefficients

SK Berg - 2023 - bora.uib.no
Almost perfect nonlinear (APN) functions are important in fields such as algebra,
combinatorics, cryptography, etc. Finding new APN functions is of special importance in …

[PDF][PDF] Further investigations on the QAM method for finding new APN functions

N Ichanska - 2024 - boolean.w.uib.no
Further investigations on the QAM method for finding new APN functions Page 1 Further
investigations on the QAM method for finding new APN functions Nadiia Ichanska (Joint work …