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On Logical Operation for NTRU Cryptosystem

by Sonika Singh
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International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 174 - Number 2
Year of Publication: 2017
Authors: Sonika Singh
10.5120/ijca2017915314

Sonika Singh . On Logical Operation for NTRU Cryptosystem. International Journal of Computer Applications. 174, 2 ( Sep 2017), 1-3. DOI=10.5120/ijca2017915314

@article{ 10.5120/ijca2017915314,
author = { Sonika Singh },
title = { On Logical Operation for NTRU Cryptosystem },
journal = { International Journal of Computer Applications },
issue_date = { Sep 2017 },
volume = { 174 },
number = { 2 },
month = { Sep },
year = { 2017 },
issn = { 0975-8887 },
pages = { 1-3 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume174/number2/28376-2017915314/ },
doi = { 10.5120/ijca2017915314 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-07T00:21:03.439864+05:30
%A Sonika Singh
%T On Logical Operation for NTRU Cryptosystem
%J International Journal of Computer Applications
%@ 0975-8887
%V 174
%N 2
%P 1-3
%D 2017
%I Foundation of Computer Science (FCS), NY, USA
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
  1. Eldon, J. W., 2010. Boolean Algebra and its Application. Springer.
  2. 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.
  3. 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.
  4. 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.
  5. Koblitz, N. 1987. Elliptic curve cryptosystem. Mathematics of Computation, 48, 203-209.
  6. 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.
  7. 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.
  8. Tripathi, B.P. and Thakur, K. 2015. A logical XOR operation for NTRU Cryptosystem, International Journal of Computer Applications, 126 , 0975-8887.
  9. Steven, G. and Paul , H. 2009. Introduction to Boolean Algebras. Springer-Verlag.
Index Terms

Computer Science
Information Sciences

Keywords

NTRU Cryptosystem Logical XOR operation Boolean Algebra.

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