On the Parameters of Convolutional Codes with Cyclic Structure

Simple item page
dc.creatorGluesing-Luerssen, Heide
dc.creatorLangfeld, Barbara
dc.date2003-12-03
dc.date.accessioned2026-07-07T08:18:15Z
dc.date.available2026-07-07T08:18:15Z
dc.descriptionIn this paper convolutional codes with cyclic structure will be investigated. These codes can be understood as left principal ideals in a suitable skew-polynomial ring. It has been shown in [3] that only certain combinations of the parameters (field size, length, dimension, and Forney indices) can occur for cyclic codes. We will investigate whether all these combinations can indeed be realized by a suitable cyclic code and, if so, how to construct such a code. A complete characterization and construction will be given for minimal cyclic codes. It is derived from a detailed investigation of the units in the skew-polynomial ring.
dc.identifierhttps://arxiv.org/abs/math/0312092
dc.identifierhttp://arxiv.org/abs/math/0312092
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/134369
dc.subjectRings and Algebras
dc.subjectInformation Theory
dc.subjectCombinatorics
dc.subject94B10; 94B15; 16S36
dc.titleOn the Parameters of Convolutional Codes with Cyclic Structure
dc.typetext

Files

Collections

arXiv