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arXiv · 1710.02395

Block-transitive algebraic geometry codes attaining the Tsfasman-Vladut-Zink bound

María Chara·Ricardo A. Podestá·Ricardo Toledano
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Abstract

We study the asymptotic behavior of a family of algebraic geometry codes, which we call block-transitive, that generalizes the classes of transitive and quasi-transitive codes. We prove, by using towers of algebraic function fields, that there are sequences of codes in this family attaining the Tsfasman-Vladut-Zink bound over finite fields of square cardinality. We give the exact length of these codes as well as explicit lower bounds for their parameters.

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María Chara, Ricardo A. Podestá, Ricardo Toledano. 2017-10-05. Block-transitive algebraic geometry codes attaining the Tsfasman-Vladut-Zink bound. https://arxiv.org/abs/1710.02395

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