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On Fast Interpolation Method for Guruswami-Sudan List Decoding of One-Point Algebraic-Geometry Codes

  • Shojiro Sakata
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 2227)

Abstract

Fast interpolation methods for the original and improved versions of list decoding of one-point algebraic-geometry codes are presented. The methods are based on the Gröbner basis theory and the BMS algorithm for multiple arrays, although their forms are different in the original list decoding algorithm (Sudan algorithm) and the improved list decoding algorithm (Guruswami-Sudan algorithm). The computational complexity is less than that of the conventional Gaussian elimination method.

Keywords

Total Order Pole Order Multiple Array List Decode 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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Copyright information

© Springer-Verlag Berlin Heidelberg 2001

Authors and Affiliations

  • Shojiro Sakata
    • 1
  1. 1.Department of Information and Communication EngineeringThe University of Electro-CommunicationsTokyoJapan

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