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A Hensel lifting to replace factorization in list-decoding of algebraic-geometric and Reed-Solomon codes

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Publication:2705986
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DOI10.1109/18.887868zbMath1014.94016OpenAlexW2150384870MaRDI QIDQ2705986

Lancelot Pecquet, Daniel Augot

Publication date: 19 March 2001

Published in: IEEE Transactions on Information Theory (Search for Journal in Brave)

Full work available at URL: https://hal.inria.fr/inria-00509339/file/FinalSub.pdf


zbMATH Keywords

algebraic geometry codesReed-Solomon codeslist-decoding


Mathematics Subject Classification ID

Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Geometric methods (including applications of algebraic geometry) applied to coding theory (94B27) Cyclic codes (94B15) Decoding (94B35)


Related Items (4)

Discovering the Roots: Uniform Closure Results for Algebraic Classes Under Factoring ⋮ Sudan-decoding generalized geometric Goppa codes. ⋮ List decoding of Hermitian codes using Gröbner bases ⋮ Formally verified certificate checkers for hardest-to-round computation




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