Asymptotically good 4-quasi transitive algebraic geometry codes over prime fields
Number Theory
2019-12-06 v2
Abstract
We study the asymptotic behavior of a family of algebraic geometry codes which are 4-quasi transitive linear codes. We prove that this family is asymptotically good over many prime fields using towers of algebraic function fields.
Cite
@article{arxiv.1603.03398,
title = {Asymptotically good 4-quasi transitive algebraic geometry codes over prime fields},
author = {María Chara and Ricardo Toledano and Ricardo Podestá},
journal= {arXiv preprint arXiv:1603.03398},
year = {2019}
}
Comments
Main results of this work where included in the new manuscript Block-transitive algebraic geometry codes attaining the Tsfasman-Vladut-Zink bound [arXiv:1710.02395]