2001•Unpublished venueRequires access

Efficient Scalar Multiplication on Elliptic Curves

Tommi Meskanen, Ari Renvall, Paula Steinby

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Abstract

We present a new general exponentiation algorithm by combining the ideas of some existing algorithms. The algorithm is specially tailored for computing scalar multiplications on some binary elliptic curves.

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What this paper is about

We present a new general exponentiation algorithm by combining the ideas of some existing algorithms. The algorithm is specially tailored for computing scalar multiplications on some binary elliptic curves.

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Available abstract

We present a new general exponentiation algorithm by combining the ideas of some existing algorithms. The algorithm is specially tailored for computing scalar multiplications on some binary elliptic curves.

Key concepts: Scalar multiplication, Mathematics, Elliptic curve point multiplication, Elliptic curve, Schoof's algorithm, Edwards curve, Arithmetic, Pure mathematics

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