Isogenies and the Discrete Logarithm Problem in Jacobians of Genus 3 Hyperelliptic Curves

DOI10.1007/978-3-540-78967-3_10zbMath1149.94329arXiv0806.2995OpenAlexW1496030291MaRDI QIDQ5458591

No author found.

Publication date: 15 April 2008

Published in: Advances in Cryptology – EUROCRYPT 2008 (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0806.2995

Mathematics Subject Classification ID

Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Cryptography (94A60) Curves over finite and local fields (11G20)

Related Items

Isogenous hyperelliptic and non-hyperelliptic Jacobians with maximal complex multiplication, Correspondences on Hyperelliptic Curves and Applications to the Discrete Logarithm, Normal forms of hyperelliptic curves of genus 3, Efficient computation of \((3^n,3^n)\)-isogenies, Elliptic curve cryptography: the serpentine course of a paradigm shift, A generic approach to searching for Jacobians, Another look at non-standard discrete log and Diffie-Hellman problems, Computing isogenies between Jacobians of curves of genus 2 and 3, Expander graphs based on GRH with an application to elliptic curve cryptography, Isogenies and the discrete logarithm problem in Jacobians of genus 3 hyperelliptic curves

Cites Work

• Computing Riemann-Roch spaces in algebraic function fields and related topics.
• A double large prime variation for small genus hyperelliptic index calculus
• The fibers of the Prym map
• The arithmetic-geometric mean and isogenies for curves of higher genus
• Twelve points on the projective line, branched covers, and rational elliptic fibrations
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item