PROJECTIVE REED-MULLER CODES

被引：111

作者：

SORENSEN, AB

机构：

[1] Department of Mathematics, University of Aarhus, DK-8000, Aarhus C

来源：

IEEE TRANSACTIONS ON INFORMATION THEORY | 1991年 / 37卷 / 06期

关键词：

ERROR-CORRECTING CODES; REED-MULLER CODES; CYCLIC CODES; FINITE PROJECTIVE GEOMETRY;

D O I：

10.1109/18.104317

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

A class of codes in the Reed-Muller family, the projective Reed-Muller codes, are studied. The exact parameters of the codes are derived and the duals are characterized. It is shown that a subclass of the projective Reed-Muller codes are cyclic and the generator polynomial is characterized. Tables over parameters of the codes are given.

引用

页码：1567 / 1576

页数：10

共 8 条

[1]

Blake IF., 1975, MATH THEORY CODING

[2] ON GENERALIZED REED-MULLER CODES AND THEIR RELATIVES [J].

DELSARTE, P ;

GOETHALS, JM ;

MACWILLI.FJ .

INFORMATION AND CONTROL, 1970, 16 (05) :403-&

[3]

KASAMI T, 1968, IEEE T INFORM THEORY, V14

[4] THE PARAMETERS OF PROJECTIVE REED-MULLER CODES [J].

LACHAUD, G .

DISCRETE MATHEMATICS, 1990, 81 (02) :217-221

[5]

Lachaud G., 1988, LECT NOTES COMP SCI, V311

[6]

Lang S., 1965, ALGEBRA

[7]

VLADUT SG, 1985, J SOVIET MATH, V30, P2611

[8]

WELDON EJ, 1968, IEEE T INFORM THEORY, V14

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