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» Montgomery Scalar Multiplication for Genus 2 Curves
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86
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ASIACRYPT
2003
Springer
15 years 1 months ago
Parallelizing Explicit Formula for Arithmetic in the Jacobian of Hyperelliptic Curves
One of the recent thrust areas in research on hyperelliptic curve cryptography has been to obtain explicit formulae for performing arithmetic in the Jacobian of such curves. We con...
Pradeep Kumar Mishra, Palash Sarkar
CHES
2008
Springer
151views Cryptology» more  CHES 2008»
14 years 11 months ago
Binary Edwards Curves
Abstract. This paper presents a new shape for ordinary elliptic curves over fields of characteristic 2. Using the new shape, this paper presents the first complete addition formula...
Daniel J. Bernstein, Tanja Lange, Reza Rezaeian Fa...
EUROCRYPT
2009
Springer
15 years 10 months ago
Double-Base Number System for Multi-scalar Multiplications
Abstract. The Joint Sparse Form is currently the standard representation system to perform multi-scalar multiplications of the form [n]P + m[Q]. We introduce the concept of Joint D...
Christophe Doche, David R. Kohel, Francesco Sica
CARDIS
2000
Springer
124views Hardware» more  CARDIS 2000»
15 years 1 months ago
Elliptic Curve Cryptography on Smart Cards without Coprocessors
Abstract This contribution describes how an elliptic curve cryptosystem can be implemented on very low cost microprocessors with reasonable performance. We focus in this paper on t...
Adam D. Woodbury, Daniel V. Bailey, Christof Paar
79
Voted
CTRSA
2007
Springer
111views Cryptology» more  CTRSA 2007»
15 years 3 months ago
Predicting Secret Keys Via Branch Prediction
This paper announces a new software side-channel attack — enabled by the branch prediction capability common to all modern highperformance CPUs. The penalty paid (extra clock cyc...
Onur Aciiçmez, Çetin Kaya Koç...