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 …

[图书][B] Concise encyclopedia of coding theory

WC Huffman, JL Kim, P Solé - 2021 - api.taylorfrancis.com
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 …

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 …

[HTML][HTML] Linear cutting blocking sets and minimal codes in the rank metric

GN Alfarano, M Borello, A Neri, A Ravagnani - Journal of Combinatorial …, 2022 - Elsevier
This work investigates the structure of rank-metric codes in connection with concepts from
finite geometry, most notably the q-analogues of projective systems and blocking sets. We …

Minimal linear codes arising from blocking sets

M Bonini, M Borello - Journal of Algebraic Combinatorics, 2021 - Springer
Minimal linear codes are algebraic objects which gained interest in the last 20 years, due to
their link with Massey's secret sharing schemes. In this context, Ashikhmin and Barg …

Linear codes from weakly regular plateaued functions and their secret sharing schemes

S Mesnager, F Özbudak, A Sınak - Designs, Codes and Cryptography, 2019 - Springer
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 …

A geometric characterization of minimal codes and their asymptotic performance

GN Alfarano, M Borello, A Neri - arXiv preprint arXiv:1911.11738, 2019 - arxiv.org
In this paper, we give a geometric characterization of minimal linear codes. In particular, we
relate minimal linear codes to cutting blocking sets, introduced in a recent paper by Bonini …

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 …

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 …

Minimal linear codes in odd characteristic

D Bartoli, M Bonini - IEEE Transactions on Information Theory, 2019 - ieeexplore.ieee.org
Minimal Linear Codes in Odd Characteristic Page 1 4152 IEEE TRANSACTIONS ON
INFORMATION THEORY, VOL. 65, NO. 7, JULY 2019 Minimal Linear Codes in Odd Characteristic …