From 1D Convolutional Codes to 2D Convolutional Codes of Rate 1/n
In this paper we introduce a new type of superregular matrices that give rise to novel constructions of two-dimensional (2D) convolutional codes with finite support. These codes are of rate 1∕n and degree δ with n ≥ δ + 1 and achieve the maximum possible distance among all 2D convolutional codes with finite support with the same parameters.
Keywords1D and 2D convolutional codes MDS codes Superregular matrix
This work was partially supported by Portuguese funds through the CIDMA – Center for Research and Development in Mathematics and Applications, and the Portuguese Foundation for Science and Technology (“FCT-Fundação para a Ciência e a Tecnologia”), within project UID/MAT/04106/2013.
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