English

A Few More Quadratic APN Functions

Information Theory 2008-05-01 v1 math.IT

Abstract

We present two infinite families of APN functions where the degree of the field is divisible by 3 but not 9. Our families contain two already known families as special cases. We also discuss the inequivalence proof (by computation) which shows that these functions are new.

Cite

@article{arxiv.0804.4799,
  title  = {A Few More Quadratic APN Functions},
  author = {Carl Bracken and Eimear Byrne and Nadya Markin and Gary McGuire},
  journal= {arXiv preprint arXiv:0804.4799},
  year   = {2008}
}

Comments

12 pages, submitted to Cryptography and Communications

R2 v1 2026-06-21T10:36:04.460Z