In this paper a new public key encryption and digital signature system based on permutation polynomials is developed. The permutation polynomial P(x) is replaced by P(xi) mod g(x) where g(x) is a secret primitive polynomial, i is the secret number such that (i, 2n-1) =1 and P(xi) = Pi(x) is declared to be a public polynomial for encryption. A public key encryption of given m(x) is the evaluation of polynomial Pi(x) at point m(x) where the result of evaluation is calculated via so called White box reduction, which does not reveal the underlying secret polynomial g(x). It is shown that for the new system to achieve a comparable security with conventional public key systems based on either Discrete logarithm or Integer factorization problems, substantially less processing length n is required resulting in a significant acceleration of public key operations.
2014 IEEE International Conference on Cloud Engineering
oai:noad.sci.am:136119
American University of Armenia ; Institute for Informatics and Automation Problems
IEEE Xplore Digital Library (Proceedings of IEEE workshop on Cloud Engineering )
Apr 19, 2021
Apr 19, 2021
22
https://noad.sci.am/publication/149623
Edition name | Date |
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Gurgen Khachatrian, A New Public Key Encryption System Based on Permutation Polynomials | Apr 19, 2021 |
Khachatrian Gurgen Khachatryan Hamlet
Khachatrian Gurgen Karapetyan Martun
Khachatrian Gurgen Kyureghyan Melsik
Khachatrian Gurgen Khachatryan Hamlet
Khachatrian Gurgen Khachatrian Hamlet
Khachatrian Gurgen Kyureghyan Melsik Kyuregyan Knarik