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] Cryptographic Boolean functions and applications

TW Cusick, P Stanica - 2017 - books.google.com
Cryptographic Boolean Functions and Applications, Second Edition is designed to be a
comprehensive reference for the use of Boolean functions in modern cryptography. While …

Constructions of even-period binary Z-complementary pairs with large ZCZs

C Xie, Y Sun - IEEE Signal Processing Letters, 2018 - ieeexplore.ieee.org
The lengths of binary Golay complementary pairs are limited to 2 α 10 β 26 γ, where α, ß,
γ∈{0, 1, 2,...}. This weakness is repaired by the Z-complementary pairs (ZCPs). In this letter …

[HTML][HTML] Minimal linear codes from Maiorana-McFarland functions

G Xu, L Qu, X Cao - Finite Fields and Their Applications, 2020 - Elsevier
Minimal linear codes have important applications in secret sharing schemes and secure
multi-party computation, etc. In this paper, we study the minimality of a kind of linear codes …

Construction and count of 1-resilient rotation symmetric Boolean functions

S Pang, X Wang, J Wang, J Du, M Feng - Information Sciences, 2018 - Elsevier
Finding and constructing Boolean functions with many cryptographic properties to resist a
variety of existing attacks are challenging tasks in current cryptography and information …

Large sets of disjoint spectra plateaued functions inequivalent to partially linear functions

F Zhang, Y Wei, E Pasalic, S Xia - IEEE Transactions on …, 2018 - ieeexplore.ieee.org
In this paper, we give an efficient method for constructing a large set of disjoint spectra
functions without linear structures, which are not equivalent to partially linear functions. This …

Constructions of 2-resilient rotation symmetric Boolean functions through symbol transformations of cyclic Hadamard matrix

J Du, Z Chen, S Fu, L Qu, C Li - Theoretical Computer Science, 2022 - Elsevier
In this paper, the properties of symbol transformations of cyclic Hadamard matrices are
studied. An infinite class of (n− 1)-variable 2-resilient rotation symmetric Boolean functions …

Generic constructions of five-valued spectra Boolean functions

S Hodžić, E Pasalic, W Zhang - IEEE Transactions on …, 2019 - ieeexplore.ieee.org
Whereas the design and properties of bent and plateaued functions have been frequently
addressed during the past few decades, there are only a few design methods of the so …

Improving the lower bound on the maximum nonlinearity of 1-resilient Boolean functions and designing functions satisfying all cryptographic criteria

WG Zhang, E Pasalic - Information Sciences, 2017 - Elsevier
In this article we improve the lower bound on the maximum nonlinearity of 1-resilient
Boolean functions, for n even, by proposing a method of constructing this class of functions …

Characterization of basic 5-value spectrum functions through Walsh-Hadamard transform

S Hodžić, P Horak, E Pasalic - IEEE Transactions on …, 2020 - ieeexplore.ieee.org
The first and the third authors recently introduced a spectral construction of plateaued and of
5-value spectrum functions. In particular, the design of the latter class requires a …