18 citations · 38 across the 10 of their papers we have counts for
10 papers
On the second Feng-Rao distance of Algebraic Geometry codes related to Arf semigroups
J. I. Farrán, P. A. García-Sánchez, B. A. Heredia
We describe the second (generalized) Feng-Rao distance for elements in an Arf numerical semigroup that are greater than or equal to the conductor of the semigroup. This provides a…
The second Feng-Rao number for codes coming from telescopic semigroups
José I. Farrán, P. A. García-Sánchez, B. A. Heredia +1
In this manuscript we show that the second Feng-Rao number of any telescopic numerical semigroup agrees with the multiplicity of the semigroup. To achieve this result we first stud…
The second Feng-Rao number for codes coming from inductive semigroups
J. I. Farrán, P. A. García-Sánchez
The second Feng-Rao number of every inductive numerical semigroup is explicitly computed. This number determines the asymptotical behaviour of the order bound for the second Hammin…
On the weight hierarchy of codes coming from semigroups with two generators
M. Delgado, J. I. Farrán, P. A. García-Sánchez +1
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 semigrou…
On the generalized Feng-Rao numbers of numerical semigroups generated by intervals
M. Delgado, J. I. Farrán, P. A. García-Sánchez +1
We give some general results concerning the computation of the generalized Feng-Rao numbers of numerical semigroups. In the case of a numerical semigroup generated by an interval,…
On the parameters of Algebraic Geometry codes related to Arf semigroups
A. Campillo, J. I. Farran, C. Munuera
In this paper we compute the order (or Feng-Rao) bound on the minimum distance of one-point algebraic geometry codes, when the Weierstrass semigroup at the point Q is an Arf semigr…