In this paper, we investigate two-point Algebraic Geometry codes associated to the
Skabelund maximal curve constructed as a cyclic cover of the Suzuki curve. In order to …

We investigate several types of linear codes constructed from two families of maximal curves
over finite fields recently constructed by Skabelund as cyclic covers of the Suzuki and Ree …

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 …

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 …

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 …

In this paper, we deal with the problem of classifying the genera of quotient curves H _q/GH
q/G, where H _q H q is the F _ q^ 2 F q 2-maximal Hermitian curve and G is an …

We study hyperelliptic curves arising from Chebyshev polynomials. The aim of this paper is
to characterize the pairs (q, d) such that the hyperelliptic curve C over a finite field F q 2 …

In this paper, explicit equations for algebraic curves with genus 4, 5, and 10 already studied
in characteristic zero, are analyzed in positive characteristic p. We show that these curves …

In 2017 Skabelund constructed two new examples of maximal curves S˜ q and R˜ q as
covers of the Suzuki and Ree curves, respectively. The resulting Skabelund curves are …