Zobrazeno 1 - 10
of 225
pro vyhledávání: '"Farran J"'
Publikováno v:
Zeitschrift für Kristallographie - New Crystal Structures, Vol 217, Iss 1, Pp 427-429 (2002)
Externí odkaz:
https://doaj.org/article/110b65e14a4f478e81e6e60f37ad1ec7
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 lower bound for the second Hamming weight for one point AG codes. In p
Externí odkaz:
http://arxiv.org/abs/1702.08225
Autor:
Farrán, J. I., García-Sánchez, P. A.
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 Hamming weight of one-point AG codes. In particular, this result is applied
Externí odkaz:
http://arxiv.org/abs/1505.01395
Publikováno v:
IEEE Trans. Inform. Theory, 60 (2014) 282-295
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 semigroup. The asymptotical behaviour of such bounds for r > 1 differs from th
Externí odkaz:
http://arxiv.org/abs/1306.2862
Publikováno v:
Mathematics of Computation, 82 (2013) 1813-1836
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, a formula for the $r^{th}$ Feng-Rao number is obtained.
Comment:
Comment:
Externí odkaz:
http://arxiv.org/abs/1105.4833
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 semigroup. The results developed to that purpose also provide the dimension
Externí odkaz:
http://arxiv.org/abs/math/9911025
Autor:
Campillo, A., Farran, J. I.
We present an algorithm to compute the Weierstrass semigroup at a point P together with functions for each value in the semigroup, provided P is the only branch at infinity of a singular plane model for the curve. As a byproduct, the method also prov
Externí odkaz:
http://arxiv.org/abs/math/9910155
Autor:
Campillo, A., Farran, J. I.
We present an algorithm to compute bases for the spaces L(G), provided G is a rational divisor over a non-singular absolutely irreducible algebraic curve, and also another algorithm to compute the Weierstrass semigroup at P together with functions fo
Externí odkaz:
http://arxiv.org/abs/math/9910154
Autor:
Farran, J. I.
A new effective decoding algorithm is presented for arbitrary algebraic-geometric codes on the basis of solving a generalized key equation with the majority coset scheme of Duursma. It is an improvement of Ehrhard's algorithm, since the method correc
Externí odkaz:
http://arxiv.org/abs/math/9910151
Autor:
Farran, J. I.
The number A(q) shows the asymptotic behaviour of the quotient of the number of rational points over the genus of non-singular absolutely irreducible curves over a finite field Fq. Research on bounds for A(q) is closely connected with the so-called a
Externí odkaz:
http://arxiv.org/abs/math/9910149