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Article

MDS Convolutional Codes Over a Finite Ring

Mohammed [::El::] [::Oued::]✉, Patrick Solé

Abstract

In this paper, we present an analog of the Singleton bound for convolutional codes over finite rings. Codes meeting that bound are called MDS. A constructive method for the MDS codes, restricted to free codes, is presented via cyclic codes over finite rings. Examples of nonfree MDS codes are provided.

Details

Original languageEnglish
JournalIEEE Transactions on Information Theory
Volume59
Issue number11
Article number6576233
Pages7305-7313
DOI10.1109/tit.2013.2277721
Publication statusPublished — 2013