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Pollard rho method and its parallelized variants are at present known as the best generic algorithms for computing elliptic curve discrete logarithms. We propose new iteration function for the rho met...
Elliptic curves scalar multiplication over some …nite …elds, attrac- tive research area, which paid much attention by researchers in the recent years. Researchs still in progress to improv...
In order to eciently perform scalar multiplications on elliptic Koblitz curves, expansions of the scalar to a complex base associated with the Frobenius endomorphism are commonly used. One such exp...
The fast implementation of elliptic curve cryptosystems relies on the efficient computation of scalar multiplication. Based on the double-base chain representation of scalar using powers of 2 and 3,...

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