On the parameters of algebraic-geometry codes related to Arf semigroups

Authors
Campillo, A Farran, JI Munuera, C
Citation
A. Campillo et al., On the parameters of algebraic-geometry codes related to Arf semigroups, IEEE INFO T, 46(7), 2000, pp. 2634-2638
Citations number
12
Categorie Soggetti
Information Tecnology & Communication Systems
Journal title
IEEE TRANSACTIONS ON INFORMATION THEORY
ISSN journal
00189448 → ACNP
Volume
46
Issue
7
Year of publication
2000
Pages
2634 - 2638
Database
ISI
SICI code
0018-9448(200011)46:7<2634:OTPOAC>2.0.ZU;2-4
Abstract
In this correspondence we compute the order (or Feng-Rao) bound on the mini mum distance of one-point algebraic-geometry codes C-Omega(P, rho (i)Q), wh en the Weierstrass semigroup at the point Q is an Arf semigroup. The result s developed to that purpose also provide the dimension of the improved geom etric Goppa codes related to these C-Omega(P, rho (i)Q).