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 …
bent functions, and we describe the main results obtained on these functions during these …
[图书][B] Bent functions
S Mesnager, Mesnager - 2016 - Springer
Boolean functions are important objects in discrete mathematics. They play a role in
mathematics and almost all the domains of computer science. In this book, we are mainly …
mathematics and almost all the domains of computer science. In this book, we are mainly …
[图书][B] Concise encyclopedia of coding theory
Most coding theory experts date the origin of the subject with the 1948 publication of A
Mathematical Theory of Communication by Claude Shannon. Since then, coding theory has …
Mathematical Theory of Communication by Claude Shannon. Since then, coding theory has …
Several classes of minimal linear codes with few weights from weakly regular plateaued functions
S Mesnager, A Sınak - IEEE Transactions on Information …, 2019 - ieeexplore.ieee.org
Minimal linear codes have significant applications in secret sharing schemes and secure
two-party computation. There are several methods to construct linear codes, one of which is …
two-party computation. There are several methods to construct linear codes, one of which is …
Linear codes with few weights from weakly regular bent functions based on a generic construction
S Mesnager - Cryptography and Communications, 2017 - Springer
We contribute to the knowledge of linear codes with few weights from special polynomials
and functions. Substantial efforts (especially due to C. Ding) have been directed towards …
and functions. Substantial efforts (especially due to C. Ding) have been directed towards …
Linear codes from weakly regular plateaued functions and their secret sharing schemes
Linear codes, the most significant class of codes in coding theory, have diverse applications
in secret sharing schemes, authentication codes, communication, data storage devices and …
in secret sharing schemes, authentication codes, communication, data storage devices and …
Full characterization of minimal linear codes as cutting blocking sets
C Tang, Y Qiu, Q Liao, Z Zhou - IEEE Transactions on …, 2021 - ieeexplore.ieee.org
In this paper, we first study in detail the relationship between minimal linear codes and
cutting blocking sets, recently introduced by Bonini and Borello, and then completely …
cutting blocking sets, recently introduced by Bonini and Borello, and then completely …
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 …
orthogonal codes have attracted much attention due to their applications in linear …
Recent results and problems on constructions of linear codes from cryptographic functions
N Li, S Mesnager - Cryptography and Communications, 2020 - Springer
Linear codes have a wide range of applications in the data storage systems, communication
systems, consumer electronics products since their algebraic structure can be analyzed and …
systems, consumer electronics products since their algebraic structure can be analyzed 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 …
interesting to establish relationship between them. By the well-known Gleason-Pierce-Ward …