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Parallelization Algorithm of Elliptic Curve Scalar Multiplication on DSP

Zhang Xiang-mei

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Abstract

The scalar multiplication in elliptic curves is the basic to elliptic curve cryptosystem.To improve the efficiency,the basic algorithms to implement the scalar multiplication are discussed,the parallel condition on DSP is designed,and an algorithm based on parallelization is proposed. The experiments show the efficiency is improved by this proposed algorithm.

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What this paper is about

The scalar multiplication in elliptic curves is the basic to elliptic curve cryptosystem.To improve the efficiency,the basic algorithms to implement the scalar multiplication are discussed,the parallel condition on DSP is designed,and an algorithm based on parallelization is proposed. The experiments show the efficiency is improved by this proposed algorithm.

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Available abstract

The scalar multiplication in elliptic curves is the basic to elliptic curve cryptosystem.To improve the efficiency,the basic algorithms to implement the scalar multiplication are discussed,the parallel condition on DSP is designed,and an algorithm based on parallelization is proposed. The experiments show the efficiency is improved by this proposed algorithm.

Key concepts: Scalar multiplication, Elliptic curve point multiplication, Elliptic Curve Digital Signature Algorithm, Elliptic curve, Scalar (mathematics), Parallel computing, Algorithm, Computer science

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