Asymptotically good 4-quasi transitive algebraic geometry codes over prime fields

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.

arXiv commentMain results of this work where included in the new manuscript Block-transitive algebraic geometry codes attaining the Tsfasman-Vladut-Zink bound [arXiv:1710.02395]