Permutation decoding of Z2Z4-linear codes

被引：0

作者：

Joaquin Bernal, Jose ^{[1
]}

Borges, Joaquim ^{[2
]}

Fernandez-Cordoba, Cristina ^{[2
]}

Villanueva, Merce ^{[2
]}

机构：

[1] Univ Murcia, Dept Math, Espinardo, Spain

[2] Univ Autonoma Barcelona, Dept Informat & Commun Engn, Cerdanyola Del Valles, Spain

来源：

DESIGNS CODES AND CRYPTOGRAPHY | 2015年 / 76卷 / 02期

关键词：

Permutation decoding; Z(2)Z(4)-linear codes; Hadamard codes;

D O I：

10.1007/s10623-014-9946-4

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

An alternative permutation decoding method is described which can be used for any binary systematic encoding scheme, regardless whether the code is linear or not. Thus, the method can be applied to some important codes such as -linear codes, which are binary and, in general, nonlinear codes in the usual sense. For this, it is proved that these codes allow a systematic encoding scheme. As particular examples, this permutation decoding method is applied to some Hadamard -linear codes.

引用

页码：269 / 277

页数：9

共 50 条

[41] Z2Z4-Additive Cyclic Codes, Generator Polynomials, and Dual Codes
Borges, Joaquim
Fernandez-Cordoba, Cristina
Ten-Valls, Roger
IEEE TRANSACTIONS ON INFORMATION THEORY, 2016, 62 (11) : 6348 - 6354
[42] Permutation decoding of Z2Z4\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\mathbb {Z}}_2{\mathbb {Z}}_4$$\end{document}-linear codes
José Joaquín Bernal
Joaquim Borges
Cristina Fernández-Córdoba
Mercè Villanueva
Designs, Codes and Cryptography, 2015, 76 (2) : 269 - 277
[43] On the structure of Z2Z2[u3]-linear and cyclic codes
Aydogdu, Ismail
Siap, Irfan
Ten-Valls, Roger
FINITE FIELDS AND THEIR APPLICATIONS, 2017, 48 : 241 - 260
[44] On Z2k-linear and quaternary codes
Tapia-Recillas, H
Vega, G
SIAM JOURNAL ON DISCRETE MATHEMATICS, 2003, 17 (01) : 103 - 113
[45] Successive Cancellation Decoding of Z2S Splitting Codes
Minja, Aleksandar
Senk, Vojin
2024 23RD INTERNATIONAL SYMPOSIUM INFOTEH-JAHORINA, INFOTEH, 2024,
[46] Codes over Z4 + νZ4
Bandi, Rama Krishna
Bhaintwal, Maheshanand
2014 INTERNATIONAL CONFERENCE ON ADVANCES IN COMPUTING, COMMUNICATIONS AND INFORMATICS (ICACCI), 2014, : 422 - 427
[47] On Z4-linear codes with the parameters of Reed-Muller codes
Solov'eva, F. I.
PROBLEMS OF INFORMATION TRANSMISSION, 2007, 43 (01) : 26 - 32
[48] Improved binary codes and sequence families from Z(4)-linear codes
Shanbhag, AG
Kumar, PV
Helleseth, T
IEEE TRANSACTIONS ON INFORMATION THEORY, 1996, 42 (05) : 1582 - 1587
[49] Cyclic codes over a linear companion of Z4
Udaya, P
Bonnecaze, A
1998 IEEE INTERNATIONAL SYMPOSIUM ON INFORMATION THEORY - PROCEEDINGS, 1998, : 398 - 398
[50] On Z4-Linear Goethals Codes and Kloosterman Sums
Tor Helleseth
Victor Zinoviev
Designs, Codes and Cryptography, 1999, 17 : 269 - 288

← 1 2 3 4 5 →