Convolutional codes from units in matrix and group rings

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dc.creatorHurley, Ted
dc.date2007-11-22
dc.date.accessioned2026-07-07T08:44:36Z
dc.date.available2026-07-07T08:44:36Z
dc.descriptionA general method for constructing convolutional codes from units in Laurent series over matrix rings is presented. Using group ring as matrix rings, this forms a basis for in-depth exploration of convolutional codes from group ring encoding, wherein the ring in the group ring is itself a group ring. The method is used to algebraically construct series of convolutional codes. Algebraic methods are used to compute free distances and to construct convolutional codes to prescribed distances.
dc.identifierhttps://arxiv.org/abs/0711.3629
dc.identifierhttp://arxiv.org/abs/0711.3629
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/142712
dc.subjectInformation Theory
dc.subjectRings and Algebras
dc.titleConvolutional codes from units in matrix and group rings
dc.typetext

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