Foundations of Linear Codes Defined over Finite Modules: the Extension Theorem and the Macwilliams Identities — Based on Lectures for the Cimpa-unesco-tübi̇tak Summer School

Abstract

This paper discusses the foundations of the theory of linear codes defined over finite modules. Two topics are examined in depth: the extension theorem and the MacWilliams identities. Both of these topics were studied originally by MacWilliams in the context of linear codes defined over finite fields. 

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