Welcome to the resource topic for 2003/257
Title:
Trading Inversions for Multiplications in Elliptic Curve Cryptography
Authors: Mathieu Ciet, Marc Joye, Kristin Lauter, Peter L. Montgomery
Abstract:Recently, Eisentraeger-Lauter-Montgomery proposed a method for speeding up scalar multiplication on elliptic curves. That method relies on improved formulae for evaluating S = 2P + Q from given points P and Q on an elliptic curve. Compared to the naive approach, the improved formulae save a field multiplication each time the operation is performed.
This paper proposes a variant which is faster whenever a field inversion is more expensive than six field multiplications. We also give an improvement when tripling or quadrupling a point, and present a ternary/binary method to perform efficient scalar multiplication.
ePrint: https://eprint.iacr.org/2003/257
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