Fast scalar multiplication of degenerate divisors for hyperelliptic curve cryptosystems

DOI10.1016/j.amc.2021.126239OpenAlexW3140630188WikidataQ114210988 ScholiaQ114210988MaRDI QIDQ2243220

Chang-An Zhao, Zhi Hu, Dong-Dai Lin

Publication date: 11 November 2021

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

Full work available at URL: https://doi.org/10.1016/j.amc.2021.126239

zbMATH Keywords

hyperelliptic curvescalar multiplicationdegenerate divisors

Mathematics Subject Classification ID

Curves over finite and local fields (11G20) Applications to coding theory and cryptography of arithmetic geometry (14G50)

Related Items (1)

Quantum circuits for hyperelliptic curve discrete logarithms over the mersenne prime fields

Cites Work

• Unnamed Item
• Hyperelliptic cryptosystems
• Formulae for arithmetic on genus 2 hyperelliptic curves
• Jacobian coordinates on genus 2 curves
• Group Law Computations on Jacobians of Hyperelliptic Curves
• Efficient Pairing Computation on Genus 2 Curves in Projective Coordinates
• Computing in the Jacobian of a Hyperelliptic Curve
• Lattice basis reduction, Jacobi sums and hyperelliptic cryptosystems
• Indifferentiable deterministic hashing to elliptic and hyperelliptic curves
• Information Security and Privacy
• Selected Areas in Cryptography

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