Fast addition on non-hyperelliptic genus 3 curves

DOI10.1142/9789812793430_0001zbMath1151.14313OpenAlexW2028885367MaRDI QIDQ3545344

Christophe Ritzenthaler, Roger Oyono, Stéphane Flon

Publication date: 10 December 2008

Published in: Algebraic Geometry and Its Applications (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/a79cd968fe9dcb7686cc22a2833b141e0d72ceec

zbMATH Keywords

Jacobiansadditionrationalityquarticnon-hyperelliptic curvesflex

Mathematics Subject Classification ID

Special algebraic curves and curves of low genus (14H45) Jacobians, Prym varieties (14H40) Applications to coding theory and cryptography of arithmetic geometry (14G50)

Related Items (9)

Group Law Computations on Jacobians of Hyperelliptic Curves ⋮ Group arithmetic in \(C_{3,5}\) curves ⋮ Koblitz curve cryptosystems ⋮ A generic approach to searching for Jacobians ⋮ Non-hyperelliptic modular Jacobians of dimension 3 ⋮ Index calculus in class groups of non-hyperelliptic curves of genus three ⋮ On Jacobian group arithmetic for typical divisors on curves ⋮ Curves, Jacobians, and cryptography ⋮ Counting points on smooth plane quartics

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