Energy functions associated with error-correcting codes

C. Rentería, H. Tapia-Recillas

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

A function associated with a linear error-correcting code defined over a finite field with q elements, where q is a power of a prime p, is introduced. This function is a generalization of the energy function associated with a linear block code over the field ℤp as described by Bruck and Blaum in [1]. It is proven to have similar properties. In particular, the Maximum Likelihood Decoding (MLD) problem is shown to be characterized by the maximization of this function.

Original languageEnglish
Title of host publicationApplied Algebra, Algebraic Algorithms and Error-Correcting Codes - 10th International Symposium, AAECC - 10, Proceedings
EditorsGerard Cohen, Teo Mora, Oscar Moreno
PublisherSpringer Verlag
Pages269-278
Number of pages10
ISBN (Print)9783540566861
DOIs
StatePublished - 1993
Externally publishedYes
Event10th International Symposium on Applied Algebra, Algebraic Algorithms and Error-Correcting Codes, AAECC - 10 1993 - San Juan de Puerto Rico, Puerto Rico
Duration: 10 May 199314 May 1993

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume673 LNCS
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Conference

Conference10th International Symposium on Applied Algebra, Algebraic Algorithms and Error-Correcting Codes, AAECC - 10 1993
Country/TerritoryPuerto Rico
CitySan Juan de Puerto Rico
Period10/05/9314/05/93

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