Wei-type duality and asymptotics of the footprint bound

Rodrigo San-José

Wei-type duality and asymptotics of the footprint bound

信息论 2026-07-12 v1

作者: Rodrigo San-José

摘要

We obtain a Wei-type duality between the footprint bound and the dual footprint bound for the generalized Hamming weights of an evaluation code. This duality applies between the Andersen-Geil and Feng-Rao bounds as well. We also prove that the footprint and dual footprint bounds cannot be used to guarantee the asymptotic goodness of a family of evaluation codes.

引用

@article{arxiv.2607.10680,
  title  = {Wei-type duality and asymptotics of the footprint bound},
  author = {Rodrigo San-José},
  journal= {arXiv preprint arXiv:2607.10680},
  year   = {2026}
}