Rectangular codes and rectangular algebra

V. Sidorenko, J. Maucher, M. Bossert

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

Abstract

We investigate general properties of rectangular codes. The class of rectangular codes includes all linear, group, and many nongroup codes.We define a basis of a rectangular code. This basis gives a universal description of a rectangular code. In this paper the rectangular algebra is defined.We show that all bases of a t-rectangular code have the same cardinality. Bounds on the cardinality of a basis of a rectangular code are given.

Original languageEnglish
Title of host publicationApplied Algebra, Algebraic Algorithms and Error-Correcting Codes - 13th International Symposium, AAECC-13, Proceedings
EditorsMarc Fossorier, Shu Lin, Hideki Imai, Alain Poli
PublisherSpringer Verlag
Pages252-258
Number of pages7
ISBN (Print)3540667237, 9783540667230
DOIs
Publication statusPublished - 1999
Externally publishedYes
Event13th International Symposium on Applied Algebra, Algebraic Algorithms and Error-Correcting Codes, AAECC 1999 - Honolulu, United States
Duration: 15 Nov 199919 Nov 1999

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume1719
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Conference

Conference13th International Symposium on Applied Algebra, Algebraic Algorithms and Error-Correcting Codes, AAECC 1999
Country/TerritoryUnited States
CityHonolulu
Period15/11/9919/11/99

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