SELF-DUAL CODES OVER THE INTEGERS MODULO-4

被引：124

作者：

CONWAY, JH ^{[1
]}

SLOANE, NJA ^{[1
]}

机构：

[1] AT&T BELL LABS,MATH SCI RES CTR,MURRAY HILL,NJ 07974

来源：

JOURNAL OF COMBINATORIAL THEORY SERIES A | 1993年 / 62卷 / 01期

关键词：

D O I：

10.1016/0097-3165(93)90070-O

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Michael Klemm has recently studied the conditions satisfied by the complete weight enumerator of a self-dual code over Z4, the ring of integers modulo 4. In the present paper we deduce analogues theorems for the “symmetrized” weight enumerator (which ignores the difference between +1 and -1 coordinates) and the Hamming weight enumerator. We give a number of examples of self-dual codes, including codes which realize the basic weight enumerators occurring in all these theorems, and the complete list of self-dual codes of length n ≤ 9. We also classify those self-orthogonal codes that are generated by words of type ±14On-4. © 1993 Academic Press, Inc.

引用

页码：30 / 45

页数：16

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