Abstract

Tripathi and Thakur proposed a new variant of NTRU cryptosystem [8] by using the Exclusive-OR operation. They proposed this system under the same general principles as that of the NTRU cryptosystem except the logical operators “Exclusive-OR” with the different bit size for encryption and decryption are used in place of truncated polynomial in NTRU cryptosystem. In this article we discuss some shortcomings of the scheme [8] and argue that the proposed scheme is not practical and secure.

References

• Eldon, J. W., 2010. Boolean Algebra and its Application. Springer.
• Hoffstein, J. , Pipher, J. and Silverman, J. H. 1996. NTRU: a new high speed public key cryptosystem. Preprint; presented at the rump session of Crypto96.
• Hoffstein, J., Pipher, J. and Silverman, J. H . 1998. NTRU: a ring based public key cryptosystem. In Proc. of ANTS, LNCS Springer, 1423, 267-288.
• Hoffstein, J., Lieman, D. and Silverman, J. 1999. Polynomial Rings and Efficient Public Key Authentication. In Proceeding of CryptTCS’99, City University of Hong-Kong Press, 7-19.
• Koblitz, N. 1987. Elliptic curve cryptosystem. Mathematics of Computation, 48, 203-209.
• Roja, P. P., Avadhani, P.S. and Prasad, E .V . 2006. An Efficient Method of Shared Key Generation Based on Truncated Polynomials. International Journal of Computer Science and Network Security, 6.(8B, 156-161.
• Rivest, R. L., Shamir, A. and Adleman, L. 1978. A Method for obtaining digital signatures and public key cryptosystems. Communications of the ACM, 21, 120-126.
• Tripathi, B.P. and Thakur, K. 2015. A logical XOR operation for NTRU Cryptosystem, International Journal of Computer Applications, 126 , 0975-8887.
• Steven, G. and Paul , H. 2009. Introduction to Boolean Algebras. Springer-Verlag.