Input-state-output representations and constructions of finite support 2D convolutional codes
Diego Napp Carmen Perea Raquel Pinto
Advances in Mathematics of Communications 2010, 4(4): 533-545 doi: 10.3934/amc.2010.4.533
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.
keywords: 2D convolutional codes input-state-output representations. systems theory

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