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Weierstrass semigroups on the Skabelund maximal curve.
- Source :
-
Finite Fields & Their Applications . Jun2021, Vol. 72, pN.PAG-N.PAG. 1p. - Publication Year :
- 2021
-
Abstract
- In [14] , D. Skabelund constructed a maximal curve over F q 4 as a cyclic cover of the Suzuki curve. In this paper we explicitly determine the structure of the Weierstrass semigroup at any point P of the Skabelund curve. We show that its Weierstrass points are precisely the F q 4 -rational points. Also we show that among the Weierstrass points, two types of Weierstrass semigroup occur: one for the F q -rational points, one for the remaining F q 4 -rational points. For each of these two types its Apéry set is computed as well as a set of generators. [ABSTRACT FROM AUTHOR]
- Subjects :
- *WEIERSTRASS points
*FINITE fields
Subjects
Details
- Language :
- English
- ISSN :
- 10715797
- Volume :
- 72
- Database :
- Academic Search Index
- Journal :
- Finite Fields & Their Applications
- Publication Type :
- Academic Journal
- Accession number :
- 149615747
- Full Text :
- https://doi.org/10.1016/j.ffa.2021.101811