[图书][B] Codes from difference sets

C Ding - 2014 - books.google.com
This is the first monograph on codebooks and linear codes from difference sets and almost
difference sets. It aims at providing a survey of constructions of difference sets and almost …

Constructions of complementary sequence sets and complete complementary codes by ideal two-level autocorrelation sequences and permutation polynomials

Z Wang, G Gong - IEEE Transactions on Information Theory, 2023 - ieeexplore.ieee.org
In this paper, we further investigate the constructions of complementary sequence sets
(CSSs) and complete complementary codes (CCCs) by Butson-type Hadamard matrices. By …

Constructions of complementary sequence sets and complete complementary codes by 2-level autocorrelation sequences and permutation polynomials

Z Wang, G Gong - arXiv preprint arXiv:2005.05825, 2020 - arxiv.org
In this paper, a recent method to construct complementary sequence sets and complete
complementary codes by Hadamard matrices is deeply studied. By taking the algebraic …

Two constructions of low-hit-zone frequency-hopping sequence sets.

W Yin, C Xiang, FW Fu - Advances in Mathematics of …, 2022 - search.ebscohost.com
In this paper, we present two constructions of low-hit-zone frequen-cy-hopping sequence
(LHZ FHS) sets. The constructions in this paper generalize the previous constructions based …

On the dual of the Coulter-Matthews bent functions

H Hu, Q Zhang, S Shao - IEEE Transactions on Information …, 2017 - ieeexplore.ieee.org
For any bent function, it is very interesting to determine its dual function, because the dual
function is also bent in certain cases. For k odd and gcd (n, k)= 1, it is known that the Coulter …

Status of three classes of sequences

G Gong, ZL Wang - Cryptography and Communications, 2023 - Springer
Pseudorandom sequences, sometimes shortened as sequences, have played a key role in
the applications of digital communications, cryptography and computer science. This …

New classes of ternary bent functions from the Coulter-Matthews bent functions

H Hu, X Yang, S Tang - IEEE Transactions on Information …, 2018 - ieeexplore.ieee.org
It has been an active research issue for many years to construct new bent functions. Fork
odd with gcd (n, k)= 1 and a∈ F 3n*, the function f (x)= Tr 1 n (ax ((3 k+ 1)/2)) is weakly …

[HTML][HTML] Difference balanced functions and their generalized difference sets

A Pott, Q Wang - Journal of Combinatorial Theory, Series A, 2015 - Elsevier
Difference balanced functions from F qn⁎ to F q are closely related to combinatorial designs
and naturally define p-ary sequences with the ideal two-level autocorrelation. In the …

Two problems about monomial bent functions

H Hu, B Wang, X Xie, Y Luo - arXiv preprint arXiv:2102.12304, 2021 - arxiv.org
In 2008, Langevin and Leander determined the dual function of three classes of monomial
bent functions with the help of Stickelberger's theorem: Dillon, Gold and Kasami. In their …

[PDF][PDF] Construction of three classes of strictly optimal frequency-hopping sequence sets

X Xie, Y Ouyang, H Hu, M Mao - Advances in Mathematics of …, 2024 - staff.ustc.edu.cn
CONSTRUCTION OF THREE CLASSES OF STRICTLY OPTIMAL FREQUENCY-HOPPING
SEQUENCE SETS Xianhong Xie Yi Ouyang Honggang Hu Ming Mao (C Page 1 Advances in …