On the generalized Feng-Rao numbers of numerical semigroups generated by intervals

Abstract

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.

23 pages, 6 figures

Cited by in corpus (4)

• On the weight hierarchy of codes coming from semigroups with two generators
• The second Feng-Rao number for codes coming from inductive semigroups
• New Lower Bounds on the Generalized Hamming Weights of AG Codes
• On Atomic Density of Numerical Semigroup Algebras