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Abstract: Elliptic curve cryptosystems (ECC) are suitable for smart cards due to their small key-size. We have to make an effort to reduce both computation time and memory usage on such memory-constraint devices. A standard way to achieve this goal are window methods, which can enhance the speed of the scalar multiplication with a reasonable memory usage. The most famous ones are sliding window on NAF (NAF+SW), wNAF, and wMOF. A common drawback of these methods... (Update)
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BibTeX entry: (Update)
@misc{ schmidt-samoa-analysis,
author = "Katja Schmidt-Samoa and Olivier Semay and Tsuyoshi Takagi",
title = "Analysis of Some Efficient Window Methods and their Application to Elliptic
Curve Cryptosystems",
url = "citeseer.ist.psu.edu/schmidt-samoa04analysis.html" }
Citations (may not include all citations):1065 Handbook of Applied Cryptography (context) - Menezes, van Oorschot et al. - 1996
216 Volume 2: Seminumerical Algorithms (context) - Knuth, of - 1981
119 Elliptic Curves in Cryptography - Blake, Seroussi et al. - 1999
101 A survey of fast exponentiation methods - Gordon - 1998
73 Speeding up the computations on an elliptic curve using addi.. - Morain, Olivos - 1990
45 Binary arithmetic (context) - Reitwiesner - 1960
34 the performance of signature schemes based on elliptic curve.. - de Win, Mister et al. - 1998
17 Ecient elliptic curve exponentiation using mixed coordinates (context) - Cohen, Miyaji et al. - 1998
5 Finite Markov Chains and Algorithmic Applications (context) - aggstr - 2002
2 Signed binary representations revisited - Okeya, Schmidt-Samoa et al. - 2004
1 13 A Previously Known Algorithms for Scalar Multiplication (context) - Solinas, on et al. - 2000
1 the Advanced Research on Ellipitic and Hyperelliptic Curve C.. (context) - Avanzi, in et al. - 2002
1 Improved techniques for fast exponentiation (context) - oller - 2003
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