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 …
comprehensive survey of Boolean functions for cryptography and coding covers the whole …
[图书][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 …
book for the theory and applications of finite fields. It is not intended to be an introductory …
Vectorial Boolean Functions for Cryptography.
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 …
viewpoint, that is, functions from the vector space Fn2, of all binary vectors of length n, to the …
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 …
perfect nonlinear (APN) function in order to obtain new examples. It turns out that this is a …
Constructing new APN functions from known ones
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) …
Applying this method to the Gold power functions we construct an APN function x3+ tr (x9) …
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 …
SpringerLink Log in Menu Find a journal Publish with us Search Cart 1.Home 2.Designs, Codes …
New instances of quadratic APN functions
In a recent work, Beierle, Brinkmann and Leander presented a recursive tree search for
finding APN permutations with linear self-equivalences in small dimensions. In this paper …
finding APN permutations with linear self-equivalences in small dimensions. In this paper …
Optimal ternary cyclic codes from monomials
C Ding, T Helleseth - IEEE transactions on information theory, 2013 - ieeexplore.ieee.org
Cyclic codes are a subclass of linear codes and have applications in consumer electronics,
data storage systems, and communication systems as they have efficient encoding and …
data storage systems, and communication systems as they have efficient encoding and …
Two classes of quadratic APN binomials inequivalent to power functions
L Budaghyan, C Carlet… - IEEE Transactions on …, 2008 - ieeexplore.ieee.org
This paper introduces the first found infinite classes of almost perfect nonlinear (APN)
polynomials which are not Carlet-Charpin-Zinoviev (CCZ)-equivalent to power functions (at …
polynomials which are not Carlet-Charpin-Zinoviev (CCZ)-equivalent to power functions (at …
New families of quadratic almost perfect nonlinear trinomials and multinomials
We introduce two new infinite families of APN functions, one on fields of order 22k for k not
divisible by 2, and the other on fields of order 23k for k not divisible by 3. The polynomials in …
divisible by 2, and the other on fields of order 23k for k not divisible by 3. The polynomials in …