Multi-point codes from the GGS curves
From MaRDI portal
Publication:2176293
DOI10.3934/amc.2020020zbMath1456.94136arXiv1706.00313OpenAlexW2971914977WikidataQ127242166 ScholiaQ127242166MaRDI QIDQ2176293
Publication date: 4 May 2020
Published in: Advances in Mathematics of Communications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1706.00313
Arithmetic theory of algebraic function fields (11R58) Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Geometric methods (including applications of algebraic geometry) applied to coding theory (94B27) Riemann surfaces; Weierstrass points; gap sequences (14H55)
Related Items (3)
An approach to the bases of Riemann-Roch spaces ⋮ Generalized Weierstrass semigroups at several points on certain maximal curves which cannot be covered by the Hermitian curve ⋮ Weierstrass semigroup at \(m+1\) rational points in maximal curves which cannot be covered by the Hermitian curve
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Quasi-twisted codes with constacyclic constituent codes
- Hermitian codes from higher degree places
- On the floor and the ceiling of a divisor
- A new family of maximal curves over a finite field
- Further examples of maximal curves
- Consecutive Weierstrass gaps and minimum distance of Goppa codes
- Weierstrass semigroups on the Giulietti-Korchmáros curve
- Algebraic geometric codes on many points from Kummer extensions
- AG codes and AG quantum codes from the GGS curve
- Multi point AG codes on the GK maximal curve
- Multi-point codes over Kummer extensions
- Pure Weierstrass gaps from a quotient of the Hermitian curve
- Riemann-Roch spaces of the Hermitian function field with applications to algebraic geometry codes and low-discrepancy sequences
- On Goppa codes and Weierstrass gaps at several points
- Parameters of LCD BCH codes with two lengths
- On the index of the Weierstrass semigroup of a pair of points on a curve
- On constacyclic codes over \(\mathbb{Z}_4 [u / \langle u^2 - 1 \rangle\) and their Gray images]
- Weierstrass semigroups from Kummer extensions
- Weierstrass semigroups and codes from a quotient of the Hermitian curve
- One- and Two-Point Codes Over Kummer Extensions
- Two-Point AG Codes on the GK Maximal Curves
- Linear Codes From Some 2-Designs
- Algebraic Function Fields and Codes
- Code Construction on Fiber Products of Kummer Covers
- A generalization of the Giulietti–Korchmáros maximal curve
- Improved decoding of Reed-Solomon and algebraic-geometry codes
- Two-Point Codes for the Generalized GK Curve
- On the weight hierarchy of geometric Goppa codes
- The minimum distance of codes in an array coming from telescopic semigroups
- The automorphism group of the generalized Giulietti–Korchmáros function field
- One-Point AG Codes on the GK Maximal Curves
- Weierstrass pairs and minimum distance of Goppa codes
- Goppa codes with Weierstrass pairs
This page was built for publication: Multi-point codes from the GGS curves