Class of jacket matrices over finite characteristic fields

被引：4

作者：

Lee, M. H. ^{[1
]}

Borissov, Y. L. ^{[2
]}

Dodunekov, S. M. ^{[2
]}

机构：

[1] Chonbuk Natl Univ, Dept Informat & Commun Engn, Jeonju 561756, South Korea

[2] Bulgarian Acad Sci, Inst Math & Informat, BU-1113 Sofia, Bulgaria

来源：

ELECTRONICS LETTERS | 2010年 / 46卷 / 13期

关键词：

TRANSFORM;

D O I：

10.1049/el.2010.1048

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

A modification of the classical Hadamard matrices is presented, which is defined over the fields of finite characteristic. The issue for the existence (necessary conditions) of odd order matrices of that kind is addressed. An application to cryptography of the corresponding linear transforms is pointed out.

引用

页码：916 / U68

页数：2

共 50 条

[21] ESTIMATION AND COMPUTATION WITH MATRICES OVER FINITE FIELDS
Corr, Brian P.
BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2015, 91 (01) : 175 - 176
[22] Central polynomials for matrices over finite fields
Bresar, Matej
Drensky, Vesselin
LINEAR & MULTILINEAR ALGEBRA, 2013, 61 (07): : 939 - 944
[23] Unimodular polynomial matrices over finite fields
Arora, Akansha
Ram, Samrith
Venkateswarlu, Ayineedi
JOURNAL OF ALGEBRAIC COMBINATORICS, 2021, 53 (04) : 1299 - 1312
[24] Integer Sequences and Matrices Over Finite Fields
Morrison, Kent E.
JOURNAL OF INTEGER SEQUENCES, 2006, 9 (02)
[25] Computing in unitriangular matrices over finite fields
Vera-López, A
Arregi, JM
LINEAR ALGEBRA AND ITS APPLICATIONS, 2004, 387 : 193 - 219
[26] Unimodular polynomial matrices over finite fields
Akansha Arora
Samrith Ram
Ayineedi Venkateswarlu
Journal of Algebraic Combinatorics, 2021, 53 : 1299 - 1312
[27] Generators of ideals of matrices over finite fields
Chapman, R
AMERICAN MATHEMATICAL MONTHLY, 2003, 110 (07): : 638 - 639
[28] GOOD RANDOM MATRICES OVER FINITE FIELDS
Yang, Shengtian
Honold, Thomas
ADVANCES IN MATHEMATICS OF COMMUNICATIONS, 2012, 6 (02) : 203 - 227
[29] Polynomial equations for matrices over finite fields
Hua, JZ
BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 1999, 59 (01) : 59 - 64
[30] Waring problem for matrices over finite fields
Kishore, Krishna
Vasiu, Adrian
Zhan, Sailun
JOURNAL OF PURE AND APPLIED ALGEBRA, 2024, 228 (07)

← 1 2 3 4 5 →