EFFICIENT OPERATIONS IN LARGE FINITE FIELDS FOR ELLIPTIC CURVE CRYPTOGRAPHIC

Author:

Chen Yan-Haw,Huang Chien-HsingORCID

Abstract

An efficient method to compute the finite field multiplication for Elliptic Curve point multiplication at high speed encryption of the message is presented. The methods of the operations are based on dynamic lookup table and modified Horner rule method. The modified Horner rule method is not only to finite field operations but also to Elliptic curve scalar multiplication in the encryption and decryption. By comparison with using Russian Peasant method and in the new proposed method, one of the advantages of utilizing the proposed algorithm is that in the Elliptic Curve point addition are reduced by a factor of three in GF (2163). Therefore, using the Algorithm 1 running on Intel CPU, computation cost of the multiplication method is above 70% faster than using standard multiplication by Russian Peasant method. Ultimately, the proposed Algorithm 1 for evaluating multiplication can be made regular, simple and suitable for software implementations.  

Publisher

Granthaalayah Publications and Printers

Subject

General Earth and Planetary Sciences,General Environmental Science

Cited by 2 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Isomorphism in Multivariate Cryptography using the New Mersenne Number Transform;ICC 2022 - IEEE International Conference on Communications;2022-05-16

2. DIVERSITY AES IN MIXCOLUMNS STEP WITH 8X8 CIRCULANT MATRIX;International Journal of Engineering Technologies and Management Research;2021-09-25

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