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The NTRU cryptosystem is a ring-based public key system using hard problems over lattices. There has been an extensive research on efficient implementation of NTRU operations, including recent results such as Bailey et al.'s software implementation over a resourceconstrained device and Gaubatz et al.'s hardware implementation using only 3,000 gates. In this paper, we present a new algorithm to improve further the performance of NTRU. We speed up the encryption and decryption operations of NTRU up to 32% using some temporary memory, and if we can use precomputation, then the speed-up becomes up to 37%. Our method is based on the observation that specific sub-operations are repeated frequently in the underlying polynomial operations of NTRU.

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