2013•International Journal of Security and Its ApplicationsRequires access

An Improved Algorithm of Elliptic Curve Cryptograph

Kai Zhang, Tao Yan

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Abstract

So far, the Elliptic Curve Cryptosystem(ECC) provides the highest strength-per-bit of any cryptosystem. The fast implementation of elliptic curve cryptosystem key algorithms, namely, Scalar Multiplication, is studied in this paper. The limitation of the traditional fixed point comb method is analyzed, and on the basis of the study improvement strategy of fixed-base comb algorithm of this proposed, thus the speed of the whole system can be improved. Through the analysis of Power Analysis Attacks, and on the basis of comb fixed point method, resist power analysis attack methods is analyzed, and the further corresponding improved algorithm is put forward. Through the performance comparison analysis, the improved algorithm can get higher power analysis attack resistance.

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What this paper is about

So far, the Elliptic Curve Cryptosystem(ECC) provides the highest strength-per-bit of any cryptosystem. The fast implementation of elliptic curve cryptosystem key algorithms, namely, Scalar Multiplication, is studied in this paper. The limitation of the traditional fixed point comb method is analyzed, and on the basis of the study improvement strategy of fixed-base comb algorithm of this proposed, thus the speed of the whole system can be improved. Through the analysis of Power Analysis Attacks, and on the basis of comb fixed point method, resist power analysis attack methods is analyzed, and the further corresponding improved algorithm is put forward. Through the performance comparison analysis, the improved algorithm can get higher power analysis attack resistance.

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Available abstract

So far, the Elliptic Curve Cryptosystem(ECC) provides the highest strength-per-bit of any cryptosystem. The fast implementation of elliptic curve cryptosystem key algorithms, namely, Scalar Multiplication, is studied in this paper. The limitation of the traditional fixed point comb method is analyzed, and on the basis of the study improvement strategy of fixed-base comb algorithm of this proposed, thus the speed of the whole system can be improved. Through the analysis of Power Analysis Attacks, and on the basis of comb fixed point method, resist power analysis attack methods is analyzed, and the further corresponding improved algorithm is put forward. Through the performance comparison analysis, the improved algorithm can get higher power analysis attack resistance.

Key concepts: Elliptic curve, Algorithm, Computer science, Mathematics, Mathematical analysis

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