Open AccessMathematicsComputer Science

Carl Bracken, Eimear Byrne, Nadya Markin, Gary McGuire

2008.4.30Cryptography and Communications-Discrete-Structures Boolean Functions and Sequences

DOI: 10.1007/s12095-010-0038-7

tlooto Summary

An infinite family of quadrinomial APN functions on GF(2n) where n is divisible by 3 but not 9 is presented, and the inequivalence proof which shows that these functions are new is discussed.

Abstract

We present an infinite family of quadrinomial APN functions on GF(2n) where n is divisible by 3 but not 9. The family contains inequivalent functions, obtained by setting some coefficients equal to 0. We also discuss the inequivalence proof (by computation) which shows that these functions are new.

Citation format

BRACKEN, Carl, et al. A few more quadratic APN functions [preprint]. arXiv, 2008. arXiv:0804.4799.