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TitleSystematic Encoding via Groebner Bases for a Class of Algebraic Geometric Goppa Codes
Author(s) Chris Heegard, John B. Little, Keith Saints
TypeArticle in Journal
AbstractAny linear code with a nontrivial automorphism has the structure of a module over a polynomial ring. The theory of Grobner bases for modules gives a compact description and implementation of a systematic encoder. We present examples of algebraic-geometric Goppa codes that can be encoded by these methods, including the one-point Hermitian codes
URL dx.doi.org/10.1109/18.476247
LanguageEnglish
JournalIEEE Transactions on Information Theory
Volume41
Number6, Part 1
Pages1752-1761
Year1995
MonthNovember
Translation No
Refereed No
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