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Non-binary low rate convolutional codes with almost optimum weight spectrum

  • Sergei I. Kovalev
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 573)

Abstract

We propose a construction of convolutional codes over the alphabet of size 2k with code rate of one bit per symbol and constraint length 3k, k =2,3,.... These codes have the least possible values of several first elements of the weight spectrum for large values of k.

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References

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    A. J. Viterbi, I. M. Jacobs, “Advances in coding and modulation for noncoherent channels affected by fading, partial band and multiple access interference,” Advances in communications systems, vol. 4, New York: Academic Press, pp. 279–308, 1975.Google Scholar
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    E. M. Gabidulin “Convolutional codes over large alphabets,” Proc. of the International Workshop on Algebraic and Combinatorial Coding Theory, Varna, Bulgaria, pp. 80–84, 1988.Google Scholar
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    K.A.S. Abdel-Ghaffar “Some convolutional codes whose free distances are maximal,” IEEE Trans. Inform. Theory, vol. IT-35, pp. 188–191, 1989.CrossRefGoogle Scholar
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    A. J. Viterbi, J. K. Omura “Principles of digital communications and coding,” McGraw-Hill N.Y., 1979.Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1992

Authors and Affiliations

  • Sergei I. Kovalev
    • 1
  1. 1.Leningrad Aircraft Equipment InstituteLeningradUSSR

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