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February  2008, 2(1): 83-94. doi: 10.3934/amc.2008.2.83

Group convolutional codes

Sergio Estrada 1, , J. R. García-Rozas 2, , Justo Peralta 2, and  E. Sánchez-García 2,

1. 

Departamento de Matemática Aplicada, Universidad de Murcia. Campus de Espinardo, 30100 Espinardo, Murcia, Spain
2. 

Departamento de Álgebra y Análisis Matemático, Universidad de Almería, 04120 Almería, Spain, Spain, Spain

Received  September 2007 Revised  December 2007 Published  January 2008

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.
Keywords: group codes., convolutional codes, Jategaonkar's theorem, Skew polynomial rings.
Mathematics Subject Classification: Primary: 16S36; Secondary: 94B1.
Citation: Sergio Estrada, J. R. García-Rozas, Justo Peralta, E. Sánchez-García. Group convolutional codes. Advances in Mathematics of Communications, 2008, 2 (1) : 83-94. doi: 10.3934/amc.2008.2.83
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