Codes from curves with total inflection points

DOI10.1007/s10623-007-9129-7zbMath1178.94243OpenAlexW2020129309MaRDI QIDQ1008955

Takao Kato, Cícero Fernandes de Carvalho

Publication date: 31 March 2009

Published in: Designs, Codes and Cryptography (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10623-007-9129-7

Mathematics Subject Classification ID

Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Plane and space curves (14H50) Geometric methods (including applications of algebraic geometry) applied to coding theory (94B27) Curves over finite and local fields (11G20)

Related Items (5)

Algebraic geometric codes on many points from Kummer extensions ⋮ Hermitian codes from higher degree places ⋮ Lower bounds on the minimum distance in Hermitian one-point differential codes ⋮ The Hurwitz curve over a finite field and its Weierstrass points for the morphism of lines ⋮ On Weierstrass semigroups and sets: a review with new results

Cites Work

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• Weierstrass gap sequence at total inflection points of nodal plane curves
• On Goppa codes and Weierstrass gaps at several points
• ALGEBRAICO-GEOMETRIC CODES
• A note on Hermitian codes over GF(q/sup 2/)
• Goppa codes with Weierstrass pairs

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