Let Fqjavax.xml.bind.JAXBElement@47e531f1 be the finite field with q2 elements. Most of the known Fqjavax.xml.bind.JAXBElement@1831ea17-maximal curves arise as quotient curves of the Fqjavax.xml.bind.JAXBElement@74ff9869-maximal Hermitian curve Hq. After a seminal paper by Garcia, Stichtenoth and Xing, many papers have provided genera of quotients of Hq, but their complete determination is a challenging open problem. In this paper we determine completely the spectrum of genera of quotients of Hq for any q≡1(mod4).
The complete list of genera of quotients of the Fqjavax.xml.bind.JAXBElement@2b4afbfb-maximal Hermitian curve for q ≡ 1 (mod 4)
Zini G.
2020
Abstract
Let Fqjavax.xml.bind.JAXBElement@47e531f1 be the finite field with q2 elements. Most of the known Fqjavax.xml.bind.JAXBElement@1831ea17-maximal curves arise as quotient curves of the Fqjavax.xml.bind.JAXBElement@74ff9869-maximal Hermitian curve Hq. After a seminal paper by Garcia, Stichtenoth and Xing, many papers have provided genera of quotients of Hq, but their complete determination is a challenging open problem. In this paper we determine completely the spectrum of genera of quotients of Hq for any q≡1(mod4).File in questo prodotto:
Non ci sono file associati a questo prodotto.
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
