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A simple analysis of the blokh-Zyablov decoding algorithm

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Applicable Algebra, Error-Correcting Codes, Combinatorics and Computer Algebra (AAECC 1986)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 307))

Abstract

Blokh-Zyablov [1] devised a decoding algorithm for concatenated codes, which is capable of maximum random error correction. The algorithm was further developed by Zinoviev-Zyablov [2], [3], who modified it so that it could also correct many bursts of errors, without sacrificing the random error correcting capability. Unfortunately hitherto available analyses of the algorithm are rather involved — a fact which might have prevented the algorithm from achieving the attention it deserves. We offer here a much simplified treatment, which we hope will help to popularize the algorithm. It should be pointed out that the basic ideas can be traced back to Forney [4], [5] (generalized minimum distance decoding).

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References

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Thomas Beth Michael Clausen

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© 1988 Springer-Verlag Berlin Heidelberg

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Ericson, T. (1988). A simple analysis of the blokh-Zyablov decoding algorithm. In: Beth, T., Clausen, M. (eds) Applicable Algebra, Error-Correcting Codes, Combinatorics and Computer Algebra. AAECC 1986. Lecture Notes in Computer Science, vol 307. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0039178

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  • DOI: https://doi.org/10.1007/BFb0039178

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-19200-8

  • Online ISBN: 978-3-540-39133-3

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