scalar multiplications

33

COMBINATORICS
2006

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13 years 11 months ago

The linear complexity of a matrix is a measure of the number of additions, subtractions, and scalar multiplications required to multiply that matrix and an arbitrary vector. In th...

David L. Neel, Michael E. Orrison

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36

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ALGORITHMICA
2006

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Scalar Multiplication on Koblitz Curves Using the Frobenius Endomorphism and Its Combination with Point Halving: Extensions and

13 years 11 months ago

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Abstract. In this paper we prove the optimality and other properties of the -adic nonadjacent form: this expansion has been introduced in order to efficiently compute scalar multip...

Roberto Maria Avanzi, Clemens Heuberger, Helmut Pr...

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43

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EUROCRYPT
2009
Springer

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Double-Base Number System for Multi-scalar Multiplications

14 years 11 months ago

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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

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