Name
Abstract | ||
|---|---|---|
In this article we construct for any prime power q and odd n >= 5, a new F-q2n-maximal curve X-n. Like the Garcia-Guneri-Stichtenoth maximal curves, our curves generalize the Giulietti-Korchmaros maximal curve, though in a different way. We compute the full automorphism group of X-n, yielding that it has precisely q(q(2) - 1)(q(n) + 1) automorphisms. Further, we show that unless q = 2, the curve X-n is not a Galois subcover of the Hermitian curve. Finally, up to our knowledge, we find new values of the genus spectrum of F-q2n-maximal curves, by considering some Galois subcovers of X-n. |
Year | DOI | Venue |
|---|---|---|
2018 | 10.1112/jlms.12144 | JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES |
Field | DocType | Volume |
Automorphism group,Combinatorics,Mathematical analysis,Automorphism,Prime power,Hermitian matrix,Mathematics | Journal | 98.0 |
Issue | ISSN | Citations |
3.0 | 0024-6107 | 0 |
PageRank | References | Authors |
0.34 | 4 | 2 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Peter Beelen | 1 | 116 | 15.95 |
| maria montanucci | 2 | 6 | 4.91 |