Quadratic forms, fibre products and some plane curves with many points

DOI10.4064/aa105-4-5zbMath1028.11039OpenAlexW2040407949MaRDI QIDQ4790143

Motoko Qiu Kawakita, Shinji Miura

Publication date: 28 January 2003

Published in: Acta Arithmetica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/aa105-4-5

zbMATH Keywords

trace codesquadratic formsfibre productsnumber of rational pointsArtin-Schreier curvescurves with many points\(C_{ab}\) curvesarbitrary characteristic

Mathematics Subject Classification ID

Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Rational points (14G05) Geometric methods (including applications of algebraic geometry) applied to coding theory (94B27) Curves over finite and local fields (11G20) Applications to coding theory and cryptography of arithmetic geometry (14G50) Algebraic functions and function fields in algebraic geometry (14H05)

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