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 …

Four decades of research on bent functions

C Carlet, S Mesnager - Designs, codes and cryptography, 2016 - Springer
In this survey, we revisit the Rothaus paper and the chapter of Dillon's thesis dedicated to
bent functions, and we describe the main results obtained on these functions during these …

[BOOK][B] Bent functions: results and applications to cryptography

N Tokareva - 2015 - books.google.com
Bent Functions: Results and Applications to Cryptography offers a unique survey of the
objects of discrete mathematics known as Boolean bent functions. As these maximal …

Linear codes with two or three weights from weakly regular bent functions

C Tang, N Li, Y Qi, Z Zhou… - IEEE Transactions on …, 2016 - ieeexplore.ieee.org
Linear codes with a few weights have applications in consumer electronics, communication,
data storage system, secret sharing, authentication codes, association schemes, and …

Self-orthogonal codes from p-divisible codes

X Li, Z Heng - IEEE Transactions on Information Theory, 2024 - ieeexplore.ieee.org
The self-orthogonality and divisibility are two important properties of linear codes. It is
interesting to establish relationship between them. By the well-known Gleason-Pierce-Ward …

Several new infinite families of bent functions and their duals

S Mesnager - IEEE Transactions on Information Theory, 2014 - ieeexplore.ieee.org
Bent functions are optimal combinatorial objects. Since their introduction, substantial efforts
have been directed toward their study in the last three decades. A complete classification of …

Ternary self-orthogonal codes from weakly regular bent functions and their application in LCD Codes

Z Heng, D Li, F Liu - Designs, Codes and Cryptography, 2023 - Springer
Self-orthogonal codes are linear codes such that they are contained in their duals. Self-
orthogonal codes have attracted much attention due to their applications in linear …

A survey on the applications of Niho exponents

N Li, X Zeng - Cryptography and Communications, 2019 - Springer
The Niho exponent was introduced by Yoji Niho, who investigated the cross-correlation
function between an m-sequence and its decimation sequence in 1972. Since then, Niho …

Generic construction of bent functions and bent idempotents with any possible algebraic degrees

C Tang, Z Zhou, Y Qi, X Zhang, C Fan… - IEEE Transactions on …, 2017 - ieeexplore.ieee.org
As a class of optimal combinatorial objects, bent functions have important applications in
cryptography, sequence design, and coding theory. Bent idempotents are a subclass of bent …

Linear codes with few weights from cyclotomic classes and weakly regular bent functions

Y Wu, N Li, X Zeng - Designs, Codes and Cryptography, 2020 - Springer
Linear codes with few weights constructed from defining sets have been extensively studied
due to their applications in data storage systems, secret sharing schemes and authentication …