Scalar multiplication for twisted Edwards curves using the extended double-base number system

DOI10.14495/jsiaml.6.37zbMath1408.94952OpenAlexW1976618036MaRDI QIDQ3121353

Yasunori Mineo, Shigenori Uchiyama

Publication date: 18 March 2019

Published in: JSIAM Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.14495/jsiaml.6.37

zbMATH Keywords

Fibonacci sequencetwisted Edwards curvesextended double-base number systemsingle-scalar multiplication

Mathematics Subject Classification ID

Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Cryptography (94A60) Applications to coding theory and cryptography of arithmetic geometry (14G50)

Cites Work

• Twisted Edwards Curves
• Twisted Edwards Curves Revisited
• A normal form for elliptic curves
• Optimizing Double-Base Elliptic-Curve Single-Scalar Multiplication
• Extended Double-Base Number System with Applications to Elliptic Curve Cryptography

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