Error detection with a class of irreducible binary cyclic codes and their dual codes

被引：2

作者：

Dodunekova, R ^{[1
]}

Rabaste, O

Páez, JLV

机构：

[1] Chalmers Univ Technol, Dept Math Sci, SE-41296 Gothenburg, Sweden

[2] Gothenburg Univ, S-40530 Gothenburg, Sweden

[3] Ecole Natl Super Telecommun Bretagne, Signal & Commun Dept, F-75013 Paris, France

来源：

IEEE TRANSACTIONS ON INFORMATION THEORY | 2005年 / 51卷 / 03期

关键词：

error detection; good code; linear code; proper code;

D O I：

10.1109/TIT.2004.842758

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

The irreducible binary cyclic codes of even dimension, introduced by Delsarte and Goethals in 1970, constitute a parametric class with three parameters. We show that these codes and their duals are either proper or not good for error detection.

引用

页码：1206 / 1209

页数：4

共 50 条

[1] On the weights of binary irreducible cyclic codes
Aubry, Yves
Langevin, Philippe
[J]. CODING AND CRYPTOGRAPHY, 2006, 3969 : 46 - 54
[2] WEIGHT DISTRIBUTION FOR A CLASS OF IRREDUCIBLE CYCLIC CODES
KLOVE, T
[J]. DISCRETE MATHEMATICS, 1977, 20 (01) : 87 - 90
[3] A LARGE CLASS OF CYCLIC AND SHORTENED CYCLIC BINARY CODES FOR MULTIPLE ERROR CORRECTION
HSU, HT
[J]. INFORMATION AND CONTROL, 1970, 16 (03): : 231 - &
[4] CYCLIC CODES FOR ERROR DETECTION
PETERSON, WW
BROWN, DT
[J]. PROCEEDINGS OF THE INSTITUTE OF RADIO ENGINEERS, 1961, 49 (01): : 228 - &
[5] The minimum distance of the duals of binary irreducible cyclic codes
Ding, CS
Helleseth, T
Niederreiter, H
Xing, CP
[J]. IEEE TRANSACTIONS ON INFORMATION THEORY, 2002, 48 (10) : 2679 - 2689
[6] THE SINGLE BURST ERROR-DETECTION PERFORMANCE OF BINARY CYCLIC CODES
WOLF, JK
CHUN, D
[J]. IEEE TRANSACTIONS ON COMMUNICATIONS, 1994, 42 (01) : 11 - 13
[7] A CLASS OF BINARY BURST ERROR-CORRECTING QUASI-CYCLIC CODES
ZHANG, WL
WOLF, JK
[J]. IEEE TRANSACTIONS ON INFORMATION THEORY, 1988, 34 (03) : 463 - 479
[8] Primitive idempotents of irreducible cyclic codes and self-dual cyclic codes over Galois rings
Wu, Yansheng
Yue, Qin
Li, Fengwei
[J]. DISCRETE MATHEMATICS, 2018, 341 (06) : 1755 - 1767
[9] The covering radii of a class of binary cyclic codes and some BCH codes
Kavut, Selcuk
Tutdere, Seher
[J]. DESIGNS CODES AND CRYPTOGRAPHY, 2019, 87 (2-3) : 317 - 325
[10] The covering radii of a class of binary cyclic codes and some BCH codes
Selçuk Kavut
Seher Tutdere
[J]. Designs, Codes and Cryptography, 2019, 87 : 317 - 325

← 1 2 3 4 5 →