PairTRU: Pairwise Non-commutative Extension of The NTRU Public key Cryptosystem

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International Journal of Information Security Science
Volume:7 Issue:1
PairTRU: Pairwise Non-commutative Extension of The NTRU Public key Cryptosystem

PairTRU: Pairwise Non-commutative Extension of The NTRU Public key Cryptosystem

Authors : Amir Hassani KARBASİ, Reza Ebrahimi ATANİ, Shahabaddin Ebrahimi ATANİ

Pages : 11-19

View : 31 | Download : 8

Publication Date : 2018-03-01

Article Type : Research Paper

Abstract :We show a novel lattice-based scheme PairTRU which is a non-commutative variant of the NTRU. The original NTRU is defined via the ring of quotient with variable in integers and this system works in the ring R = Z[x] . We extend this system over Z × Z and it performs all of operations in the non-commutative ring M = M k,Z×Z [x] , where M is a matrix ring of k × k matrices of polynomials in R = Z×Z [x] . In PairTRU, encrypting and decrypting are non-commutative and the cryptosystem is secure for linear algebra and Lattice-based attacks. PairTRU is designed using the NTRU core and reflects high levels of security by two-sided matrix multiplication with pairwise entries
Keywords : Public key cryptography, Lattice based cryptosystem, NTRU, Matrix rings

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