NTRU Over Galois Rings

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.

Keywords

• vector field
• complete lift
• diagonal lift
• pull-back bundle
• cross-section
• semi-cotangent bundle
• 11r33