On improved asymptotic bounds for codes from global function fields

DOI10.1007/S10623-009-9289-8zbMath1172.94649OpenAlexW2099182887MaRDI QIDQ1035803

Siman Yang, Lulu Qi

Publication date: 4 November 2009

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

Full work available at URL: https://doi.org/10.1007/s10623-009-9289-8

Mathematics Subject Classification ID

Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Bounds on codes (94B65)

Cites Work

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• Algebraic function fields and codes
• An exhaustion bound for algebraic-geometric ``modular codes
• Algebraic-geometric codes and asymptotic problems
• Further improvements on asymptotic bounds for codes using distinguished divisors
• Improved Asymptotic Bounds for Codes Using Distinguished Divisors of Global Function Fields
• Excellent Nonlinear Codes From Algebraic Function Fields
• Nonlinear codes from algebraic curves improving the Tsfasman-Vladut-Zink bound
• A Note on Further Improvements of the TVZ-Bound
• Modular curves, Shimura curves, and Goppa codes, better than Varshamov-Gilbert bound
• Algebraic-geometry codes with asymptotic parameters better than the Gilbert-Varshamov and the Tsfasman-Vladut-Zink bounds
• An explicit tower of function fields over cubic finite fields and Zink’s lower bound

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