On the Hamming Weight Enumerators of Self-Dual Codes over Zk

Authors:
Masaaki Harada;Manabu Oura
Affiliations:
Department of Mathematical Sciences, Yamagata University, Yamagata, 990-8560, Japanf1mharada@sci.kj.yamagata-u.ac.jpf1;Graduate School of Mathematics, Kyushu University, Fukuoka, 812-81, Japanf2ohura@math.kyushu-u.ac.jpf2
Venue:
Finite Fields and Their Applications
Year:
1999

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Abstract

In this article, we investigate the Hamming weight enumerators of self-dual codes over F"qand Z"k. Using invariant theory, we determine a basis for the space of invariants to which the Hamming weight enumerators belong for self-dual codes over F"qand Z"k.