This chapter deals with multi-output Boolean functions viewed from a cryptographic
viewpoint, that is, functions from the vector space Fn2, of all binary vectors of length n, to the …

This is a survey of distance-regular graphs. We present an introduction to distance-regular
graphs for the reader who is unfamiliar with the subject, and then give an overview of some …

In a recent paper, it was shown that the restrictions of bent functions to subspaces of
codimension 1 and 2 are highly nonlinear. Here, we present an extensive study of the …

Бент-функции: результаты и приложения. Обзор работ – тема научной статьи по
математике читайте бесплатно текст научно-исследовательской работы в …

Bent functions deserve our bent to study them... 1 Работа относится к такой области
дискретной математики, как булевы функции и их приложения в комбинаторике …

A map [Formula: see text] is called crooked if the set [Formula: see text] is an affine
hyperplane for every fixed [Formula: see text](where [Formula: see text] is considered as a …

Abstract The graphs GF={(x, F (x)); x∈ F 2 n} of those (n, n)-functions F: F 2 n↦ F 2 n that are
almost perfect nonlinear (in brief, APN; an important notion in symmetric cryptography) are …

Let FF be a function from F _ p^ n F pn to itself and δ δ a positive integer. FF is called zero-
difference δ δ-balanced if the equation F (x+ a)-F (x)= 0 F (x+ a)-F (x)= 0 has exactly δ δ …

The concept of dimensional dual arcs was introduced as a natural higher dimensional
analogue to the notion of dual arcs in projective planes. A survey of the related topics are …

Crooked binomials Page 1 Des. Codes Cryptogr. (2008) 46:269–301 DOI 10.1007/s10623-007-9157-3
Crooked binomials Jürgen Bierbrauer · Gohar M. Kyureghyan Received: 13 June 2006 …