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 …

In recent years, linear complementary pairs (LCPs) of codes and linear complementary dual
(LCD) codes have gained significant attention due to their applications in coding theory and …

We determine the Weierstrass semigroup of a pair of certain rational points on the Giulietti-
Korchmáros maximal curves. We use this semigroup to obtain two-point algebraic geometric …

In this paper, algebraic-geometric (AG) codes associated with the GGS maximal curve are
investigated. The Weierstrass semigroup at all\mathbb F_ q^ 2 F q 2-rational points of the …

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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 …

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 …

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 …

One of the main challenges of coding theory is to construct linear codes with the best
possible parameters. Various algebraic and combinatorial methods along with computer …

Let F qk denote the finite field with qk elements. In this work, we study the number of F q k-
rational points of the affine hypersurfaces given by yq− y= a 1 x 1 d 1+…+ asxsd s+ b. We …