Boolean functions for cryptography and coding theory

C Carlet - 2021 - books.google.com
Boolean functions are essential to systems for secure and reliable communication. This
comprehensive survey of Boolean functions for cryptography and coding covers the whole …

[BOOK][B] Handbook of finite fields

GL Mullen, D Panario - 2013 - api.taylorfrancis.com
The CRC Handbook of Finite Fields (hereafter referred to as the Handbook) is a reference
book for the theory and applications of finite fields. It is not intended to be an introductory …

Vectorial Boolean Functions for Cryptography.

C Carlet, Y Crama, PL Hammer - 2010 - books.google.com
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 …

An APN permutation in dimension six

KA Browning, JF Dillon, MT McQuistan… - Finite Fields: theory …, 2010 - books.google.com
An APN permutation in dimension six Page 42 Contemporary Mathematics Contemporary
Mathematics Volume 518 , 2010 An APN Permutation in Dimension Six KA Browning, JF Dillon …

New classes of almost bent and almost perfect nonlinear polynomials

L Budaghyan, C Carlet, A Pott - IEEE Transactions on …, 2006 - ieeexplore.ieee.org
New classes of almost bent and almost perfect nonlinear polynomials Page 1 IEEE
TRANSACTIONS ON INFORMATION THEORY, VOL. 52, NO. 3, MARCH 2006 1141 New Classes …

On the c-differential uniformity of certain maps over finite fields

SU Hasan, M Pal, C Riera, P Stănică - Designs, Codes and Cryptography, 2021 - Springer
We give some classes of power maps with low c-differential uniformity over finite fields of
odd characteristic, for c=-1 c=-1. Moreover, we give a necessary and sufficient condition for a …

A new almost perfect nonlinear function which is not quadratic

Y Edel, A Pott - Advances in Mathematics of Communications, 2009 - biblio.ugent.be
Following an example in [12], we show how to change one coordinate function of an almost
perfect nonlinear (APN) function in order to obtain new examples. It turns out that this is a …

Almost perfect and planar functions

A Pott - Designs, Codes and Cryptography, 2016 - Springer
Almost perfect and planar functions | SpringerLink Skip to main content Advertisement
SpringerLink Log in Menu Find a journal Publish with us Search Cart 1.Home 2.Designs, Codes …

Constructing new APN functions from known ones

L Budaghyan, C Carlet, G Leander - Finite Fields and Their Applications, 2009 - Elsevier
We present a method for constructing new quadratic APN functions from known ones.
Applying this method to the Gold power functions we construct an APN function x3+ tr (x9) …

On Almost Perfect Nonlinear Functions Over

TP Berger, A Canteaut, P Charpin… - IEEE Transactions on …, 2006 - ieeexplore.ieee.org
We investigate some open problems on almost perfect nonlinear (APN) functions over a
finite field of characteristic 2. We provide new characterizations of APN functions and of APN …