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Abstract: In this paper, we propose a new fast and secure point multiplication algorithm. It is based on a particular kind of addition chains involving only additions (no doubling), providing a natural protection against side channel attacks. Moreover, we propose new addition formulae that take into account the specific structure of those chains making point multiplication very e#cient. (Update)
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BibTeX entry: (Update)
@misc{ meloni-fast,
author = "Nicolas Meloni",
title = "Fast and Secure Elliptic Curve Scalar Multiplication over Prime Fields
Using Special Addition Chains",
url = "citeseer.ist.psu.edu/meloni06fast.html" }
Citations (may not include all citations):2003 The Art of Computer Programming (context) - Knuth - 1981
2003 The Art of Computer Programming (context) - Knuth - 1981
257 Elliptic curve cryptosystems (context) - Koblitz - 1987
228 Uses of elliptic curves in cryptography (context) - Miller - 1986
161 Timing attacks on implementations of Di#e-Hellman (context) - Kocher - 1996
145 erential power analysis (context) - Kocher, Ja et al. - 1999
65 Speeding the Pollard and elliptic curve methods of factoriza.. (context) - Montgomery - 1987
36 Hessian elliptic curves and sidechannel attacks - Joye, Quisquater - 2001
17 Analysis of the subtractive algorithm for greatest common di.. (context) - Knuth, Yao - 1975
13 Guide to Elliptic Curve Cryptography (context) - Hankerson, Menezes et al. - 2004
4 cient Elliptic curve cryptosystems from a scalar multiplicat.. (context) - Okeya, Sakurai - 2001
4 cient and secure Elliptic Curve Point Multiplication Using D.. (context) - Dimitrov, Imbert et al. - 2005
3 Low-cost solutions for preventing simple side-channel analys.. - Chevalier-Mames, Ciet et al. - 2004
2 Handbook of Elliptic and Hyperelliptic Curve Cryptography (context) - Avanzi, Cohen et al. - 2005
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