# American Institute of Mathematical Sciences

November  2010, 4(4): 533-545. doi: 10.3934/amc.2010.4.533

## Input-state-output representations and constructions of finite support 2D convolutional codes

 1 Department of Mathematics, University of Aveiro, Campus Universitario de Santiago, 3810-193 Aveiro, Portugal, Portugal 2 Center of Operation Research, Department of Statistics, Mathematics and Informatics, University Miguel Hernández, Av. Universidad s/n, 0302 Elche, Spain

Received  December 2009 Revised  June 2010 Published  November 2010

Two-dimensional convolutional codes are considered, with codewords having compact support indexed in $\mathbb N$2 and taking values in $\mathbb F$n, where $\mathbb F$ is a finite field. Input-state-output representations of these codes are introduced and several aspects of such representations are discussed. Constructive procedures of such codes with a designed distance are also presented.
Citation: Diego Napp, Carmen Perea, Raquel Pinto. Input-state-output representations and constructions of finite support 2D convolutional codes. Advances in Mathematics of Communications, 2010, 4 (4) : 533-545. doi: 10.3934/amc.2010.4.533
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