A Duality in Space Usage between Left-to-Right and Right-to-Left Exponentiation

DOI10.1007/978-3-642-27954-6_6zbMath1292.94148OpenAlexW1765253597MaRDI QIDQ2889996

Colin D. Walter

Publication date: 8 June 2012

Published in: Lecture Notes in Computer Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-642-27954-6_6

zbMATH Keywords

exponentiationelliptic curve cryptographyaddition chainscalar multiplicationdivision chaindual chainmulti-base representation

Mathematics Subject Classification ID

Cryptography (94A60) Applications to coding theory and cryptography of arithmetic geometry (14G50)

Uses Software

• MIST

Cites Work

• Efficient Quintuple Formulas for Elliptic Curves and Efficient Scalar Multiplication Using Multibase Number Representation
• On the Evaluation of Powers
• A Survey of Fast Exponentiation Methods
• Delaying and Merging Operations in Scalar Multiplication: Applications to Curve-Based Cryptosystems
• New Composite Operations and Precomputation Scheme for Elliptic Curve Cryptosystems over Prime Fields
• Efficient and Secure Elliptic Curve Point Multiplication Using Double-Base Chains
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