Elliptic codes over fields of characteristic 2

DOI10.1016/0022-4049(87)90081-8zbMath0613.14026OpenAlexW1985014623MaRDI QIDQ1088745

Jean Francis Michon, Yves Driencourt

Publication date: 1987

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-4049(87)90081-8

zbMATH Keywords

elliptic curvesfinite fieldsrational pointserror correcting codes

Mathematics Subject Classification ID

Linear codes (general theory) (94B05) Rational points (14G05) Special algebraic curves and curves of low genus (14H45) Elliptic curves (14H52) Global ground fields in algebraic geometry (14G25)

Related Items (10)

Weight distributions of geometric Goppa codes ⋮ Self-dual Goppa codes ⋮ Recent progress on the elliptic curve discrete logarithm problem ⋮ On automorphisms of geometric Goppa codes ⋮ On Goppa codes defined by Kummer and Artin-Schreier extensions ⋮ An optimal algorithm for multiplication in \(\mathbb{F}_{256}/\mathbb{F}_ 4\) ⋮ Hyperelliptic function fields and codes ⋮ Minimum distance of elliptic codes ⋮ On MDS elliptic codes ⋮ Decoding by rank-2 bundles over plane quartics

Cites Work

• The arithmetic of elliptic curves
• ALGEBRAICO-GEOMETRIC CODES
• Modular curves, Shimura curves, and Goppa codes, better than Varshamov-Gilbert bound
• Residues of differentials on curves
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