Block transitive codes attaining the Tsfasman-Vladut-Zink bound

DOI10.1007/s10623-020-00743-wzbMath1448.94291arXiv1710.02395OpenAlexW3007541449MaRDI QIDQ2182083

Ricardo A. Podestá, Ricardo Toledano, Maria de los Angeles Chara

Publication date: 21 May 2020

Published in: Designs, Codes and Cryptography (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1710.02395

zbMATH Keywords

finite fieldsalgebraic geometry codestowers of function fields

Mathematics Subject Classification ID

Arithmetic theory of algebraic function fields (11R58) Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Geometric methods (including applications of algebraic geometry) applied to coding theory (94B27)

Related Items (1)

On cyclic algebraic-geometry codes

Cites Work

• The Galois closure of Drinfeld modular towers
• Number of points of an algebraic curve
• On the asymptotic behaviour of some towers of function fields over finite fields
• A note on tamely ramified towers of global function fields
• An Improvement of the Gilbert–Varshamov Bound Over Nonprime Fields
• Algebraic Function Fields and Codes
• Transitive and self-dual codes attaining the Tsfasman-Vla/spl breve/dut$80-Zink bound
• Modular curves, Shimura curves, and Goppa codes, better than Varshamov-Gilbert bound
• On tame towers over finite fields
• An explicit tower of function fields over cubic finite fields and Zink’s lower bound
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