Automorphism groups of one-point codes from the curves y/sup q/+y=x/sup qr+1/

DOI10.1109/18.945272zbMath0998.94034OpenAlexW1973012998MaRDI QIDQ4544701

Tomokazu Katagiri, Takao Ogihara, Shoichi Kondo

Publication date: 4 August 2002

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

Full work available at URL: https://doi.org/10.1109/18.945272

zbMATH Keywords

automorphism groupsgeometric Goppa codesone-point codesfunction field of a curveXing's theorem

Mathematics Subject Classification ID

Geometric methods (including applications of algebraic geometry) applied to coding theory (94B27) Applications to coding theory and cryptography of arithmetic geometry (14G50) Arithmetic codes (94B40)

Related Items (9)

A sequence of one-point codes from a tower of function fields ⋮ Locally recoverable codes from algebraic curves with separated variables ⋮ Unnamed Item ⋮ Isometry-Dual Flags of Many-Point AG Codes ⋮ Construction of sequences with high nonlinear complexity from a generalization of the Hermitian function field ⋮ Generalized Weierstrass semigroups and Riemann-Roch spaces for certain curves with separated variables ⋮ On Weierstrass semigroup at \(m\) points on curves of the form \(f(y)=g(x)\) ⋮ Weierstrass semigroup and codes over the curve \(y^q + y = x^{q^r + 1}\) ⋮ On automorphism groups of certain Goppa codes

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