During the early part of the last century, Ferdinand Georg Frobenius (1849-1917) raised he
following problem, known as the Frobenius Problem (FP): given relatively prime positive …

This book is an extended and revised version of" Numerical Semigroups with Applications,"
published by Springer as part of the RSME series. Like the first edition, it presents …

In this paper we elaborate on the structure of the semigroup tree and the regularities on the
number of descendants of each node observed earlier by the first author. These regularities …

We compute the order (or Feng-Rao (1994)) bound on the minimum distance of one-point
algebraic-geometry codes C/sub/spl Omega//(P,/spl rho//sub t/Q), when the Weierstrass …

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 …

We present new quantum codes with good parameters which are constructed from self-
orthogonal algebraic geometry codes. Our method permits a wide class of curves to be used …

The weight hierarchy of one-point algebraic geometry codes can be estimated by means of
the generalized order bounds, which are described in terms of a certain Weierstrass …

We give some general bounds and formulas for the generalized Feng–Rao distances (or
generalized order bounds) in an arbitrary numerical semigroup. The obtained results can be …

We introduce a new class of numerical semigroups, which we call the class of acute
semigroups and we prove that they generalize symmetric and pseudosymmetric numerical …

A sharp upper bound for the maximum integer not belonging to an ideal of a numerical
semigroup is given and the ideals attaining this bound are characterized. Then, the result is …