Fast group operations on elliptic curves in Maple

DOI10.1016/S0898-1221(99)00106-6zbMath0980.11055OpenAlexW2021726574MaRDI QIDQ1806495

Yanyan Li

Publication date: 19 April 2000

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0898-1221(99)00106-6

zbMATH Keywords

elliptic curvesMaplediscrete logarithm

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Number-theoretic algorithms; complexity (11Y16) Computational aspects of algebraic curves (14Q05)

Uses Software

• Maple
• ECPP

Cites Work

• Factoring integers with elliptic curves
• Modular elliptic curves and Fermat's Last Theorem
• Elliptic Curves and Primality Proving
• A public key cryptosystem and a signature scheme based on discrete logarithms
• Elliptic Curve Cryptosystems
• New directions in cryptography
• A method for obtaining digital signatures and public-key cryptosystems
• An Introduction to Formal Languages and Machine Computation
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