NKM10

Monica Nevins, Camelia Karimianpour, Ali Miri. NTRU over rings beyond Z. Designs, Codes and Cryptography, 56:65-78, July 2010.

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Abstract

The NTRU cryptosystem is constructed on the base ring $${\mathbb{Z}}$$ . We give suitability conditions on rings to serve as alternate base rings. We present an example of an NTRU-like cryptosystem based on the Eisenstein integers $${\mathbb{Z}[\zeta_3]}$$ , which has a denser lattice structure than $${\mathbb{Z}}$$ for the same dimension, and which furthermore presents a more difficult lattice problem for lattice attacks, for the same level of decryption failure security

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M. Nevins
Camelia Karimianpour
Ali Miri

BibTex Reference

@article{NKM10,
   Author = {Nevins, Monica and Karimianpour, Camelia and Miri, Ali},
   Title = {{NTRU} over rings beyond {Z}},
   Journal = {Designs, Codes and Cryptography},
   Volume = {56},
   Pages = {65--78},
   Publisher = {Kluwer Academic Publishers},
   Address = {Norwell, MA, USA},
   Month = {July},
   Year = {2010}
}

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