7 citations · 24 across the 8 of their papers we have counts for
4 papers · 1 filter
Quadratic Binomial APN Functions and Absolutely Irreducible Polynomials
E. Byrne, G. McGuire
We show that many quadratic binomial functions on a finite field of characteristic 2 are not APN infinitely often. This is of interest in the light of recent discoveries of new fam…
Division polynomials for twisted Edwards curves
Richard Moloney, Laura Hitt, Gary McGuire
This paper presents division polynomials for twisted Edwards curves. Their chief property is that they characterise the -torsion points of a given twisted Edwards curve. We also…
A Few More Quadratic APN Functions
Carl Bracken, Eimear Byrne, Nadya Markin +1
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 al…
Fourier Spectra of Binomial APN Functions
Carl Bracken, Eimear Byrne, Nadya Markin +1
In this paper we compute the Fourier spectra of some recently discovered binomial APN functions. One consequence of this is the determination of the nonlinearity of the functions,…