4 citations · 6 across the 5 of their papers we have counts for
5 papers
On a classification of planar functions in characteristic three
Samuele Andreoli, Lilya Budaghyan, Robert Coulter +3
Planar functions are functions over a finite field that have optimal combinatorial properties and they have applications in several branches of mathematics, including algebra, proj…
An overview of the Eight International Olympiad in Cryptography "Non-Stop University CRYPTO"
A. Gorodilova, N. Tokareva, S. Agievich +13
Non-Stop University CRYPTO is the International Olympiad in Cryptography that was held for the eight time in 2021. Hundreds of university and school students, professionals from 33…
Partially APN Boolean functions and classes of functions that are not APN infinitely often
Lilya Budaghyan, Nikolay S. Kaleyski, Soonhak Kwon +2
In this paper we define a notion of partial APNness and find various characterizations and constructions of classes of functions satisfying this condition. We connect this notion t…
Univariate Niho Bent Functions from o-Polynomials
Lilya Budaghyan, Alexander Kholosha, Claude Carlet +1
In this paper, we discover that any univariate Niho bent function is a sum of functions having the form of Leander-Kholosha bent functions with extra coefficients of the power term…
New Classes of Almost Bent and Almost Perfect Nonlinear Polynomials
Lilya Budaghyan, Claude Carlet, Alexander Pott
We construct infinite classes of almost bent and almost perfect nonlinear polynomials, which are affinely inequivalent to any sum of a power function and an affine function.