An erasures-and-errors decoding algorithm for Goppa codes (Corresp.)

Authors:
  • YSY. Sugiyama
    Y. Sugiyama
  • MKM. Kasahara
    M. Kasahara
  • SHS. Hirasawa
    S. Hirasawa
  • TNT. Namekawa
    T. Namekawa

Abstract
An erasures-and-errors decoding algorithm for Goppa codes is presented. Given the Goppa polynomial and the modified syndrome polynomial, a modified key equation is solved using Euclid's algorithm to determine the error locator polynomial and the errata evaluator polynomial.

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