Advances in Mathematics of Communications (AMC)

Generalized AG convolutional codes

Pages: 317 - 328, Volume 3, Issue 4, November 2009      doi:10.3934/amc.2009.3.317

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José Ignacio Iglesias Curto - Departamento de Matemáticas, Universidad de Salamanca, Plaza de la Merced 1-4, 37008 Salamanca, Spain (email)

Abstract: We present the family of generalized AG convolutional codes, constructed by using algebraic geometric tools. This construction extends block generalized AG codes on the one hand and several algebraic constructions of convolutional codes on the other. The tools employed to define these codes are also used to obtain information about their parameters and to determine conditions such that the resulting codes have optimal free distance.

Keywords:  Convolutional codes, algebraic geometric codes, MDS codes.
Mathematics Subject Classification:  Primary: 94B10, 94B27; Secondary: 14G50.

Received: June 2008;      Revised: September 2009;      Available Online: November 2009.