Extending the GLS endomorphism to speed up GHS Weil descent using Magma
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Publication:1979955
DOI10.1016/j.ffa.2021.101891zbMath1481.14051arXiv2106.09967OpenAlexW3169922700MaRDI QIDQ1979955
Publication date: 3 September 2021
Published in: Finite Fields and their Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2106.09967
Automorphisms and endomorphisms (16W20) Cryptography (94A60) Elliptic curves (14H52) Jacobians, Prym varieties (14H40) Curves over finite and local fields (11G20) Varieties over finite and local fields (11G25) Subvarieties of abelian varieties (14K12) Applications to coding theory and cryptography of arithmetic geometry (14G50)
Uses Software
Cites Work
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- Endomorphisms for faster elliptic curve cryptography on a large class of curves
- Recent progress on the elliptic curve discrete logarithm problem
- Constructive and destructive facets of Weil descent on elliptic curves
- Koblitz curves over quadratic fields
- A general framework for subexponential discrete logarithm algorithms
- Computing discrete logarithms in the Jacobian of high-genus hyperelliptic curves over even characteristic finite fields
- Mathematics of Public Key Cryptography
- Attacking a Binary GLS Elliptic Curve with Magma
- A double large prime variation for small genus hyperelliptic index calculus
- Generalising the GHS Attack on the Elliptic Curve Discrete Logarithm Problem
- Analyzing the Galbraith-Lin-Scott Point Multiplication Method for Elliptic Curves over Binary Fields
- Handbook of Elliptic and Hyperelliptic Curve Cryptography
- Algebraic aspects of cryptography. With an appendix on hyperelliptic curves by Alfred J. Menezes, Yi-Hong Wu, and Robert J. Zuccherato
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