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The quality of an algebraic geometry code depends on the curve from which the code has been defined. In this paper we consider codes obtained from Castle curves, namely those whose number of rational… (More)
We compute the Weierstrass semigroup at one totally ramified place for Kummer extensions defined by y<sup>m</sup> = f (x)<sup>λ</sup>, where f (x) is a separable polynomial over F<sub>q</sub>. In… (More)
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 (AG) codes with… (More)
We introduce two types of curves of interest for coding theory purposes: the so-called Castle and weak Castle curves. We study the main properties of codes arising from these curves.
In this paper, we determine the Weierstrass semigroup H(P ∞) and the full automorphism group of a certain family of curves X n,r , which was recently introduced by Borges and Conceição.
We determine the full automorphism group of the Generalized Hermitian curve, denoted by GH, which generalizes the Hermitian curve. The automorphism group of a code is important in Coding Theory, and… (More)