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From 1D Convolutional Codes to 2D Convolutional Codes of Rate 1/n

  • Paulo Almeida
  • Diego Napp
  • Raquel PintoEmail author
Conference paper
Part of the CIM Series in Mathematical Sciences book series (CIMSMS, volume 3)

Abstract

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.

Keywords

1D and 2D convolutional codes MDS codes Superregular matrix 

Notes

Acknowledgements

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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Copyright information

© Springer International Publishing Switzerland 2015

Authors and Affiliations

  1. 1.Department of Mathematics, CIDMA – Center for Research and Development in Mathematics and ApplicationsUniversity of AveiroAveiroPortugal

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