Synonyms
Definition
NTRU is a collective name for the NTRUEncrypt and NTRUSign public key algorithms. Algorithms in the NTRU family are based on the approximate Closest Vector Problem (appr-CVP) in convolution modular lattices. The lattice structure allows for extremely fast operations and is not currently known to be vulnerable to quantum computing algorithms. The convolution structure allows for considerably smaller key sizes than in other lattice-based cryptosystems. NTRUEncrypt is standardized in IEEE Std 1363.1-2008 and in ASC X9.98.
Background
The development of NTRU was motivated by the need for faster public key cryptosystems based on hard mathematical problems other than integer factoring, the discrete logarithm problem, and the elliptic curve discrete logarithm problem. The NTRUalgorithms are among the best-accepted of...
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Coppersmith D, Shamir A (1997) Lattice attacks on NTRU. In: Advances in cryptology – Eurocrypt ’97. Lecture notes in computer science, vol 1233. Springer, Berlin, pp 52–61
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IEEE Standard 1363.1-2008 (2008) IEEE standard specification for public-key cryptographic techniques based on hard problems over lattices
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NTRU Cryptosystems Technical Report #004: A meet-in-the-middle attack on an NTRU private key. www.ntru.com/cryptolab/technotes.htm
NTRU Cryptosystems Technical Report #009: Invertibility in truncated polynomial rings. www.ntru.com/cryptolab/technotes.htm
NTRU Cryptosystems Technical Report #012: Estimated breaking times for NTRU lattices. www.ntru.com/cryptolab/technotes.htm
NTRU Cryptosystems Technical Report #018: Estimating decryption failure probabilities for NTRUEncrypt. www.ntru.com/cryptolab/technotes.htm
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Whyte, W., Hoffstein, J. (2011). NTRU. In: van Tilborg, H.C.A., Jajodia, S. (eds) Encyclopedia of Cryptography and Security. Springer, Boston, MA. https://doi.org/10.1007/978-1-4419-5906-5_464
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