NTRU over rings beyond $${\mathbb{Z}}$$ |
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| Authors: | Monica Nevins Camelia KarimianPour Ali Miri |
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| Institution: | 1.Department of Mathematics and Statistics,University of Ottawa,Ottawa,Canada;2.School of Information Technology and Engineering (SITE), and Department of Mathematics and Statistics,University of Ottawa,Ottawa,Canada |
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| Abstract: | The NTRU cryptosystem is constructed on the base ring
\mathbbZ{\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
\mathbbZz3]{\mathbb{Z}\zeta_3]} , which has a denser lattice structure than
\mathbbZ{\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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| Keywords: | |
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