In this article we construct for any prime power q and odd n⩾ 5, a new F q 2 n‐maximal
curve X n. Like the Garcia–Güneri–Stichtenoth maximal curves, our curves generalize the …

Abstract The Deligne–Lusztig curves associated to the algebraic groups of type A 2 2, B 2 2,
and G 2 2 are classical examples of maximal curves over finite fields. The Hermitian curve H …

For every q= n 3 with na prime power greater than 2, the GK-curve is an F q 2-maximal curve
that is not F q 2-covered by the Hermitian curve. In this paper some Galois subcovers of the …

We investigate the genera of quotient curves ℋ q∕ G of the 𝔽 q 2-maximal Hermitian curve
ℋ q, where G is contained in the maximal subgroup ℳ q≤ A ut (ℋ q) fixing a pole-polar pair …

A complete characterization of Galois subfields of the generalized Giulietti–Korchmáros function
field - ScienceDirect Skip to main contentSkip to article Elsevier logo Journals & Books Search …

Motivated by previous computations in Garcia, Stichtenoth and Xing (2000) paper, we
discuss the spectrum $\mathbf {M}(q^ 2) $ for the genera of maximal curves over finite fields …

A criterion for the existence of a birational embedding with two Galois points for quotient
curves is presented. We apply our criterion to several curves, for example, some cyclic …

Let F q 2 be the finite field with q 2 elements. Most of the known F q 2-maximal curves arise
as quotient curves of the F q 2-maximal Hermitian curve H q. After a seminal paper by …

In this article, we characterize the genera of those quotient curves H q/G of the F q 2-
maximal Hermitian curve H q for which either G is contained in the maximal subgroup M 1 of …

CERTAIN SEXTICS WITH MANY RATIONAL POINTS Motoko Qiu Kawakita 1. Introduction
Goppa discovered algebro-geometric codes in 1970s, Page 1 Advances in Mathematics of …