On the splitting of places in a tower of function fields meeting the Drinfeld-Vladut bound

DOI10.1109/18.923746zbMath0999.94038OpenAlexW2123962420MaRDI QIDQ4544599

Henning Stichtenoth, P. Vijay Kumar, Ilia Aleshnikov, Kenneth W. Shum

Publication date: 4 August 2002

Published in: IEEE Transactions on Information Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1109/18.923746

zbMATH Keywords

algebraic-geometry codesGilbert-Varshamov boundGarcia-Stichtenoth towerfunction field tower

Mathematics Subject Classification ID

Arithmetic theory of algebraic function fields (11R58) Bounds on codes (94B65) Geometric methods (including applications of algebraic geometry) applied to coding theory (94B27) Applications to coding theory and cryptography of arithmetic geometry (14G50)

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Tower of algebraic function fields with maximal Hasse-Witt invariant and tensor rank of multiplication in any extension of \(\mathbb{F}_2\) and \(\mathbb{F}_3\) ⋮ ON ASYMPTOTICALLY OPTIMAL TOWERS OVER QUADRATIC FIELDS RELATED TO GAUSS HYPERGEOMETRIC FUNCTIONS

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