On the parameters of algebraic-geometry codes related to Arf semigroups
Carlos Munuera, José Ignacio Farrán, Antonio Campillo · IEEE Transactions on Information Theory · 2000
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 semigroup at the point Q is an Arf 91949) semigroup. The results developed to that purpose also provide the dimension of the improved geometric Goppa codes related to these C/sub /spl Omega// (P, /spl rho//sub t/Q).