MATEC Web of Conferences
Volume 44, 20162016 International Conference on Electronic, Information and Computer Engineering
|Number of page(s)||5|
|Section||Computer, Algorithm, Control and Application Engineering|
|Published online||08 March 2016|
An RSA Scheme based on Improved AKS Primality Testing Algorithm
College of Information Science and Technology, Hainan University, Haikou, China 570228
a Corresponding author: firstname.lastname@example.org
In applied cryptography, RSA is a typical asymmetric algorithm, which is used in electronic transaction and many other security scenarios. RSA needs to generate large random primes. Currently, primality test mostly depends on probabilistic algorithms, such as the Miller-Rabin primality testing algorithm. In 2002, Agrawal et al. published the Agrawal–Kayal–Saxena (AKS) primality testing algorithm, which is the first generic, polynomial, deterministic and non-hypothetical algorithm for primality test. This paper proves the necessary and sufficient condition for AKS primality test. An improved AKS algorithm is proposed using Fermat’s Little Theorem. The improved algorithm becomes an enhanced Miller-Rabin probabilistic algorithm, which can generate primes as fast as the Miller-Rabin algorithm does.
Key words: RSA / Miller-Rabin / AKS algorithm / Primality testing
© Owned by the authors, published by EDP Sciences, 2016
This is an Open Access article distributed under the terms of the Creative Commons Attribution License 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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