The second generalized Hamming weight for two-point codes on a Hermitian curve

DOI10.1007/s10623-008-9210-xzbMath1178.94247OpenAlexW2123853660MaRDI QIDQ1009094

Seon Jeong Kim, Masaaki Homma

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/s10623-008-9210-x

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 (9)

Higher Hamming weights for locally recoverable codes on algebraic curves ⋮ Non-special subsets of the set of points of a curve defined over a finite field ⋮ The second generalized Hamming weight of some evaluation codes arising from a projective torus ⋮ Generalized Hamming weights of three classes of linear codes ⋮ Minimum-weight codewords of the Hermitian codes are supported on complete intersections ⋮ A zero-dimensional approach to Hermitian codes ⋮ On the Weierstrass semigroups of \(n\) points of a smooth curve ⋮ Hermitian codes and complete intersections ⋮ Bounds for generalized Hamming weights of general AG codes

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