A Locally Recoverable Code is a code such that the value of any single coordinate of a
codeword can be recovered from the values of a small subset of other coordinates. When we …

We investigate two families S˜ q and R˜ q of maximal curves over finite fields recently
constructed by Skabelund as cyclic covers of the Suzuki and Ree curves. We show that S˜ q …

Several applications of function fields over finite fields, or equivalently, algebraic curves over
finite fields, require computing bases for Riemann–Roch spaces. In this paper, we determine …

We present multi-point algebraic geometric codes overstepping the Gilbert-Varshamov
bound. The construction is based on a curve in the tower introduced by Bassa et al. These …

In 2000, based on his procedure for constructing explicit towers of modular curves, Elkies
deduced explicit equations of rank-2 Drinfeld modular curves which coincide with the …

We introduce normalized Drinfeld modular curves that parameterize rank $ m $ Drinfeld
modules compatible with a $ T $-torsion structure arising from a given conjugacy class of …

For applications in algebraic geometric codes, it is extremely useful to give an explicit
description of the bases of Riemann-Roch spaces associated to divisors on function fields …

We determine the full automorphism group of two recently constructed families Sq and Rq of
maximal curves over finite fields. These curves are covers of the Suzuki and Ree curves …

In 2000, base on his procedure for constructing explicit towers of modular curves, Elkies
deduced explicit equations of rank-2 Drinfeld modular curves which coincide with the …

Códigos algébrico-geométricos (AG) são construídos a partir de divisores de uma curva
algébrica, os quais podem ter suporte em um único ponto ou em vários pontos, neste caso …