scientific article; zbMATH DE number 1104924
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Publication:4370591
zbMath0884.94027MaRDI QIDQ4370591
Publication date: 14 January 1998
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
algebraic curvesRiemann-Roch theoremgeometric Goppa codesalgebraic function fieldsasymptotic Gilbert boundSkorobogatov-Vladut decoding algorithm
Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Arithmetic ground fields for curves (14H25) Curves over finite and local fields (11G20) Valuation rings (13F30) Combinatorial codes (94B25) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to information and communication theory (94-01) Field extensions (12F99)
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On the hardnesses of several quantum decoding problems ⋮ Multi point AG codes on the GK maximal curve ⋮ Decoding by rank-2 bundles over plane quartics ⋮ Hermitian codes with automorphism group isomorphic to \(\operatorname{PGL}(2,q)\) with \(q\) odd ⋮ List decoding of Hermitian codes using Gröbner bases ⋮ Yet More Projective Curves over F2 ⋮ Computing singular points of projective plane algebraic curves by homotopy continuation methods
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