NTRU Over Galois Rings

Author:

Sever Mehmet1,Özdemir Ahmet Şükrü2

Affiliation:

1. Ağrı Ibrahim Çeçen University , Faculty of Science and Arts, Department of Mathematics , , Ağrı , Turkey

2. Marmara University , Atatürk Faculty of Education, Department of Mathematics Education , , Istanbul , Turkey

Abstract

Abstract As a cryptosystem, Nth Truncated Polynomial Ring (NTRU) is established on the fast and easy calculation. Improving the security is aimed by enlarging a ring where the processes execute and enhancing the number of a private key and a public key. In this study, NTRU takes over the Galois rings and is analysed by adding a new private key.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Engineering (miscellaneous),Modeling and Simulation,General Computer Science

Reference12 articles.

1. Hoffstein, J., Pipher, J. and Silverman, J. H. (1996). NTRU: A new high speed public key cryptosystem. Crypto 96, preprint. Available at http://www.ntru.com/articles

2. Jaulmes, É. and Joux, A. (2000). A chosen-ciphertext attack against NTRU. Advances in Cryptology Conference-Crypto 2000.

3. Gentry, C. Cryptoanalysis of the revised NTRU signature scheme.

4. Gentry, C. (2001). Key recoverge and message attcaks on NTRU-Composite. Springer Verlag.

5. Banks, W. D. (2002). A variant of NTRU with non invertible polynomials. Springer Verlag.

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