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 …

For an arbitrary function field, from the knowledge of the minimal generating set of the
Weierstrass semigroup at two rational places, the set of pure gaps is characterized …

It is always interesting and important to construct non-Reed-Solomon type MDS codes in
coding theory and finite geometries. In this paper, we prove that many non-Reed-Solomon …

In this paper we investigate two-point algebraic-geometry codes (AG codes) coming from the
Beelen-Montanucci (BM) maximal curve. We study properties of certain two-point …

Locally repairable codes with more than one recovering set are demanded in the application
to distributed storage. For each failure node (or disk), it is desired to have as many …

Let r≥ 3 be an odd integer and F q 2 r the finite field with q 2 r elements. A second
generalisation of the Giulietti-Korchmáros maximal curve over F q 6 was presented in 2018 …

Let K be the algebraic closure of F q. We provide an explicit description of the Weierstrass
semigroup H (Q∞) at the only place at infinity Q∞ of the curve X defined by the Kummer …

In coding theory, constructing codes with good parameters is one of the most important and
fundamental problems. A great many good codes have been constructed over alphabets of …

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 …

Let q be a prime-power, and n≥ 3 an odd integer. We determine the structure of the
Weierstrass semigroup H (P) where P is an arbitrary F q 2-rational point of GK 2, n where GK …