Consecutive Weierstrass gaps and minimum distance of Goppa codes
From MaRDI portal
Publication:1208228
DOI10.1016/0022-4049(93)90039-VzbMath0768.94014MaRDI QIDQ1208228
Robert F. Lax, Kim Seon Jeong, Arnaldo Garcia
Publication date: 16 May 1993
Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)
Linear codes (general theory) (94B05) Geometric methods (including applications of algebraic geometry) applied to coding theory (94B27) Riemann surfaces; Weierstrass points; gap sequences (14H55)
Related Items (31)
Two-point AG codes from the Beelen-Montanucci maximal curve ⋮ Bases of Riemann-Roch spaces from Kummer extensions and algebraic geometry codes ⋮ New lower bounds for the minimum distance of generalized algebraic geometry codes ⋮ Algebraic geometric codes on many points from Kummer extensions ⋮ Pure gaps on curves with many rational places ⋮ Weierstrass semigroups from Kummer extensions ⋮ On Weierstrass Semigroups of Some Triples on Norm-Trace Curves ⋮ Weierstrass semigroup and pure gaps at several points on the \(GK\) curve ⋮ Multi-point codes from the GGS curves ⋮ A new family of Castle and Frobenius nonclassical curves ⋮ Hermitian codes from higher degree places ⋮ Constructing sequences with high nonlinear complexity using the Weierstrass semigroup of a pair of distinct points of a Hermitian curve ⋮ Further examples of maximal curves which cannot be covered by the Hermitian curve ⋮ Generalized Weierstrass semigroups and Riemann-Roch spaces for certain curves with separated variables ⋮ Multi-point codes over Kummer extensions ⋮ Pure Weierstrass gaps from a quotient of the Hermitian curve ⋮ Generalized Weierstrass semigroups at several points on certain maximal curves which cannot be covered by the Hermitian curve ⋮ On Weierstrass semigroup at \(m\) points on curves of the form \(f(y)=g(x)\) ⋮ Lower bounds on the minimum distance in Hermitian one-point differential codes ⋮ Two-Point Codes on Norm-Trace Curves ⋮ Further improvements on the designed minimum distance of algebraic geometry codes ⋮ Distance bounds for algebraic geometric codes ⋮ Riemann-Roch spaces of the Hermitian function field with applications to algebraic geometry codes and low-discrepancy sequences ⋮ Weierstrass semigroups and codes from a quotient of the Hermitian curve ⋮ Goppa codes with Weierstrass pairs ⋮ Triples of rational points on the Hermitian curve and their Weierstrass semigroups ⋮ On Goppa codes and Weierstrass gaps at several points ⋮ A generalized floor bound for the minimum distance of geometric Goppa codes ⋮ Weierstrass semigroup and automorphism group of the curves \(\mathcal{X}_{n,r}\) ⋮ On Weierstrass semigroups and sets: a review with new results ⋮ On the floor and the ceiling of a divisor
Cites Work
- Weierstrass points on certain non-classical curves
- Zur arithmetischen Theorie der algebraischen Funktionen. II: Allgemeine Theorie der Weierstraßpunkte
- ALGEBRAICO-GEOMETRIC CODES
- Codes and information
- A note on Hermitian codes over GF(q/sup 2/)
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Consecutive Weierstrass gaps and minimum distance of Goppa codes
