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Rectangular Basis of a Linear Code

Rectangular Basis of a Linear Code

Book SeriesLecture Notes in Computer Science
PublisherSpringer Berlin / Heidelberg
ISSN0302-9743 (Print) 1611-3349 (Online)
VolumeVolume 1746/1999
BookCryptography and Coding
DOI10.1007/3-540-46665-7
Copyright1999
ISBN978-3-540-66887-9
DOI10.1007/3-540-46665-7_15
Page798
Subject CollectionComputer Science
SpringerLink DateFriday, January 01, 1999
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Rectangular Basis of a Linear Code

Johannes Maucher5 Contact Information, Martin Bossert5 Contact Information and Vladimir Sidorenko6 Contact Information

(5)  Department of Information Technology, University of Ulm, Albert-Einstein-Allee 43, 89081 Ulm, Germany
(6)  Institute for Information Transmission Problems, Russian Academy of Science, B.Karetnyi per.19 101447, Moscow, GSP-4, Russia
Abstract
A rectangular code is a code for which there exists an unique minimal trellis. Such a code can be considered to be an algebraically closed set under the rectangular complement operation. The notions of rectangular closure and basis were already defined. In this paper we represent a method to construct a rectangular basis of a linear code from a given linear basis.

Contact Information Johannes Maucher
Email: joma@it.e-technik.uni-ulm.de

Contact Information Martin Bossert
Email: boss@it.e-technik.uni-ulm.de

Contact Information Vladimir Sidorenko
Email: sid@iitp.ru
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