Algorithme de Brill-Noether et codes de Goppa

DOI10.24033/bsmf.2096zbMath0721.14015OpenAlexW2583623140MaRDI QIDQ5752675

Jean-Jacques Risler, Dominique Le Brigand

Publication date: 1988

Published in: Bulletin de la Société mathématique de France (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=BSMF_1988__116_2_231_0

zbMATH Keywords

finite fieldGoppa codesBrill-Noether algorithmrational divisor

Mathematics Subject Classification ID

Linear codes (general theory) (94B05) Divisors, linear systems, invertible sheaves (14C20) Singularities of curves, local rings (14H20)

Related Items (11)

Local to Global Algorithms for the Gorenstein Adjoint Ideal of a Curve ⋮ Computing Riemann-Roch spaces via Puiseux expansions ⋮ A fast randomized geometric algorithm for computing Riemann-Roch spaces ⋮ On Multi-Index Filtrations Associated to Weierstraß Semigroups ⋮ Computational aspects of retrieving a representation of an algebraic geometry code ⋮ Fast amortized multi-point evaluation ⋮ Finding a basis of a linear system with pairwise distinct discrete valuations on an algebraic curve ⋮ Amortized multi-point evaluation of multivariate polynomials ⋮ Computing Riemann-Roch spaces in algebraic function fields and related topics. ⋮ Projective toric codes ⋮ Symbolic Hamburger-Noether expressions of plane curves and applications to AG codes

Cites Work

• ALGEBRAICO-GEOMETRIC CODES
• Codes and information
• Historical Ramblings in Algebraic Geometry and Related Algebra
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