Matrix-product codes over finite chain rings

A.G. Asch, van

Research output: Contribution to journalArticleAcademicpeer-review

19 Citations (Scopus)

Abstract

Tim Blackmore and Graham H. Norton introduced the notion of matrix-product codes over finite fields. The present paper provides a generalization to finite chain rings. For codes a distance function is defined using a homogeneous weight function in the ring. It is proved that the minimum distance of a matrix-product codes is determined by the minimum distances of the separate codes. At the end of the paper we focus on Galois rings and define a special family of matrix-product codes.
Original languageEnglish
Pages (from-to)39-49
JournalApplicable Algebra in Engineering, Communication and Computing
Volume19
Issue number1
DOIs
Publication statusPublished - 2008

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