Group convolutional codes

Sergio Estrada; J. R. García-Rozas; Justo Peralta; E. Sánchez-García

doi:10.3934/amc.2008.2.83

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2008, Volume 2, Issue 1: 83-94. Doi: 10.3934/amc.2008.2.83

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Group convolutional codes

1.
Departamento de Matemática Aplicada, Universidad de Murcia. Campus de Espinardo, 30100 Espinardo, Murcia
2.
Departamento de Álgebra y Análisis Matemático, Universidad de Almería, 04120 Almería

Received: August 31, 2007

Revised: November 30, 2007

Published: January 2008

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Abstract

In this note we introduce the concept of group convolutional code in terms of skew polynomial rings. Then we use some theorems due to Jategaonkar that describe such rings in terms of matrices to characterize minimal $S_3$-convolutional codes over the field of five elements.

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Mathematics Subject Classification: Primary: 16S36; Secondary: 94B10.

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