Protections against Differential Analysis for Elliptic Curve Cryptography - An Algebraic Approach

Koç, Published In Ç. K.; Naccache, D.; Paar, C.; Joye, Marc; Tymen, Christophe; Supérieure, École Normale

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Protections against Differential Analysis for Elliptic Curve Cryptography - An Algebraic Approach

Published in 2001 by Published In Ç. K. Koç, D. Naccache, C. Paar, Marc Joye, Christophe Tymen, École Normale Supérieure

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Abstract

We propose several new methods to protect the scalar multiplication on an elliptic curve against Differential Analysis. The basic idea consists in transforming the curve through various random morphisms to provide a non-deterministic execution of the algorithm. The solutions we suggest complement.