Scalar Multiplication on Koblitz Curves Using Double Bases

DOI10.1007/11958239_9zbMath1295.94010OpenAlexW1500494440MaRDI QIDQ2876971

Francesco Sica, Roberto M. Avanzi

Publication date: 21 August 2014

Published in: Progress in Cryptology - VIETCRYPT 2006 (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/11958239_9

zbMATH Keywords

elliptic curvessublinear algorithmsscalar multiplicationKoblitz curvesdouble base number systems

Mathematics Subject Classification ID

Cryptography (94A60) Mathematical problems of computer architecture (68M07) Applications to coding theory and cryptography of arithmetic geometry (14G50)

Related Items (6)

Efficient scalar multiplication on Koblitz curves with pre-computation ⋮ Redundant \(\tau \)-adic expansions. I: Non-adjacent digit sets and their applications to scalar multiplication ⋮ The double-base number system and its application to elliptic curve cryptography ⋮ A Graph Theoretic Analysis of Double Base Number Systems ⋮ Double-Base Number System for Multi-scalar Multiplications ⋮ Tight lower bound for average number of terms in optimal double-base number system using information-theoretic tools

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