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A vector version of the BMS algorithm for implementing fast erasure-and-error decoding of one-point AG codes

  • Shojiro Sakata
Conference paper
  • 122 Downloads
Part of the Lecture Notes in Computer Science book series (LNCS, volume 1255)

Abstract

In this paper1 we propose a fast erasure-and-error decoding method for any one-point Algebraic-Geometric (AG) codes up to the Feng-Rao bound, which is a modification of the Sakata algorithm (the nD Berlekamp-Massey algorithm) and is given as a unification of our previous fast error-only decoding method and the algorithm for finding a minimal polynomial vector set of a given vector of nD arrays.

Keywords

Polynomial Matrix Polynomial Vector Decode Method Majority Logic Receive Word 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

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Copyright information

© Springer-Verlag Berlin Heidelberg 1997

Authors and Affiliations

  • Shojiro Sakata
    • 1
  1. 1.Department of Computer Science and Information MathematicsThe University of Electro-CommunicationsTokyoJapan

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