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 …

Abstract In Beelen and Montanucci (Finite Fields Appl 52: 10–29, 2018) and Giulietti and
Korchmáros (Math Ann 343: 229–245, 2009), Weierstrass semigroups at points of the …

In this paper a construction of quantum codes from self-orthogonal algebraic geometry
codes is provided. Our method is based on the CSS construction as well as on some …

Abstract In this article, Algebraic-Geometric (AG) codes and quantum codes associated with
a family of curves that includes the famous Suzuki curve are investigated. The Weierstrass …

In this paper, we consider the affine variety codes obtained evaluating the polynomials by=
akxk+…+ a 1 x+ a 0, b, ai∈ F qr, at the affine F qr-rational points of the Norm-Trace curve. In …

We provide new examples of curves of genus 6 or 10 attaining the Serre bound. They all
belong to the family of sextics introduced in as a generalization of Wiman's sextics and …

In this paper, Algebraic-Geometric (AG) codes and quantum codes associated to a family of
curves which comprises the famous Suzuki curve are investigated. The Weierstrass …

Recently it was proved that if a linear code is invariant under the action of a doubly transitive
permutation group, it achieves the capacity of erasure channel. Therefore, it is of sufficient …

For $ p $ an odd prime number, $ q_ {0}= p^{t} $, and $ q= p^{2t-1} $, let $\mathcal {X} _
{\mathcal {G} _ {\mathcal {S}}} $ be the nonsingular model of\begin {equation*} Y^{q}-Y …

Recently, Skabelund defined new maximal curves which are cyclic extensions of the Suzuki
and Ree curves. Previously, the now well-known GK curves were found as cyclic extensions …