Weierstrass semigroup at \(m+1\) rational points in maximal curves which cannot be covered by the Hermitian curve
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Publication:782854
DOI10.1007/s10623-020-00757-4zbMath1454.14141arXiv2106.13159OpenAlexW3174521568MaRDI QIDQ782854
Maria Bras-Amorós, Alonso Sepúlveda Castellanos
Publication date: 29 July 2020
Published in: Designs, Codes and Cryptography (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2106.13159
Related Items (2)
Generalized Weierstrass semigroups at several points on certain maximal curves which cannot be covered by the Hermitian curve ⋮ Triples of rational points on the Hermitian curve and their Weierstrass semigroups
Cites Work
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- On the genus of a maximal curve
- Delta sets for divisors supported in two points
- The correction capability of the Berlekamp-Massey-Sakata algorithm with majority voting
- Further examples of maximal curves which cannot be covered by the Hermitian curve
- A new family of maximal curves over a finite field
- Bounding the number of \(\mathbb F_q\)-rational places in algebraic function fields using Weierstrass semigroups
- On numerical semigroups and the redundancy of improved codes correcting generic errors
- Weierstrass semigroups in an asymptotically good tower of function fields
- On maximal curves
- Pure gaps on curves with many rational places
- Weierstrass semigroup and pure gaps at several points on the \(GK\) curve
- AG codes and AG quantum codes from the GGS curve
- Multi point AG codes on the GK maximal curve
- On Goppa codes and Weierstrass gaps at several points
- Goppa-like bounds for the generalized Feng-Rao distances.
- Computing Weierstrass semigroups and the Feng-Rao distance from singular plane models
- Multi-point codes from the GGS curves
- A maximal curve which is not a Galois subcover of the Hermitian curve
- On the parameters of algebraic-geometry codes related to Arf semigroups
- Two-Point AG Codes on the GK Maximal Curves
- New Lower Bounds on the Generalized Hamming Weights of AG Codes
- A generalization of the Giulietti–Korchmáros maximal curve
- ALGEBRAICO-GEOMETRIC CODES
- A simple approach for construction of algebraic-geometric codes from affine plane curves
- Generalized Hamming weights of q-ary Reed-Muller codes
- On Weierstrass semigroups and the redundancy of improved geometric Goppa codes
- A new family of maximal curves
- The minimum distance of codes in an array coming from telescopic semigroups
- One-Point AG Codes on the GK Maximal Curves
- Goppa codes with Weierstrass pairs
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