Malaysian Journal of Mathematical Sciences, August 2019, Vol. 13(S)
Special Issue: The 6th International Cryptology and Information Security Conference (CRYPTOLOGY2018)
An Innovative Bicartisian Algebra for Designing of Highly Performed NTRU Like Cryptosystem
Yassein, H. R. and Al-Saidi, N. M. G.
Corresponding Email: hassan.yaseen@qu.edu.iq
Received date: -
Accepted date: -
Abstract:
With the rapid development of quantum computers, the needs of the highly secure cryptographic system are in great demand. NTRU is proved as a good performed and secure public-key system for such developed technology because it is a lattice-based cryptosystem. Therefore, designing a finite field with high complexity and good resistance against linear algebra attacks is the primary objective for developing highly secure NTRU like systems. In this paper, we construct a new algebraic structure to replace the classical NTRU polynomial ring; we called it bicartesian algebra. It is designed to be commutative and associative to generate BCTRU, which is an innovative high dimensional NTRU variant cryptosystem. Its probability of successful decryption is demonstrated. BCTRU exhibits appropriate security levels due to its ability to withstand some public attacks for such types of public-key systems.
Keywords: NTRU , BCTRU, bicartesian algebra, security analysis
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