Minimum distance of elliptic codes

DOI10.1016/0001-8708(92)90029-KzbMath0758.94014MaRDI QIDQ1191728

Mohammad Amin Shokrollahi

Publication date: 27 September 1992

Published in: Advances in Mathematics (Search for Journal in Brave)

zbMATH Keywords

elliptic curvesMDS codesmaximum distance separable codesgeneralized Reed-Solomon codesminimal distanceelliptic function field

Mathematics Subject Classification ID

Geometric methods (including applications of algebraic geometry) applied to coding theory (94B27) Cyclic codes (94B15) Computational aspects in algebraic geometry (14Q99)

Cites Work

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• Elliptic codes over fields of characteristic 2
• Self-dual Goppa codes
• Which extended Goppa codes are cyclic?
• The arithmetic of elliptic curves
• Lectures on the theory of algebraic functions of one variable
• Modular curves, Shimura curves, and Goppa codes, better than Varshamov-Gilbert bound
• On generator matrices of MDS codes (Corresp.)

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