Fast decoding of codes from algebraic plane curves

Jørn Justesen, Knud J. Larsen, Helge Elbrønd Jensen, Tom Høholdt

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Abstract

Improvement to an earlier decoding algorithm for codes from algebraic geometry is presented. For codes from an arbitrary regular plane curve the authors correct up to d*/2-m2 /8+m/4-9/8 errors, where d* is the designed distance of the code and m is the degree of the curve. The complexity of finding the error locator is O(n7/3 ), where n is the length of the code. For codes from Hermitian curves the complexity of finding the error values, given the error locator, is O(n2), and the same complexity can be obtained in the general case if only d*/2-m2/2 errors are corrected
Original languageEnglish
JournalI E E E Transactions on Information Theory
Volume38
Issue number1
Pages (from-to)111-119
ISSN0018-9448
DOIs
Publication statusPublished - 1992

Bibliographical note

Copyright: 1992 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE

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