Fast Jacobian Group Operations for C3,4 Curves over a Large Finite Field

DOI10.1112/S146115700000142XzbMath1221.14062OpenAlexW2963117051MaRDI QIDQ3091950

Kamal Khuri-Makdisi, Fatima K. Abu Salem

Publication date: 15 September 2011

Published in: LMS Journal of Computation and Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/s146115700000142x

Mathematics Subject Classification ID

Number-theoretic algorithms; complexity (11Y16) Special algebraic curves and curves of low genus (14H45) Jacobians, Prym varieties (14H40) Computational aspects of algebraic curves (14Q05)

Related Items (5)

Group Law Computations on Jacobians of Hyperelliptic Curves ⋮ Group arithmetic in \(C_{3,5}\) curves ⋮ Index calculus in class groups of non-hyperelliptic curves of genus three ⋮ On Jacobian group arithmetic for typical divisors on curves ⋮ Divisor class group arithmetic on C3,4 curves

Cites Work

• Linear algebra algorithms for divisors on an algebraic curve
• The arithmetic of Jacobian groups of superelliptic cubics
• On using expansions to the base of −2

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