A Chosen-Ciphertext Attack against NTRU
CRYPTO '00 Proceedings of the 20th Annual International Cryptology Conference on Advances in Cryptology
Secure Integration of Asymmetric and Symmetric Encryption Schemes
CRYPTO '99 Proceedings of the 19th Annual International Cryptology Conference on Advances in Cryptology
NTRU: A Ring-Based Public Key Cryptosystem
ANTS-III Proceedings of the Third International Symposium on Algorithmic Number Theory
EUROCRYPT'97 Proceedings of the 16th annual international conference on Theory and application of cryptographic techniques
Analysis and Improvements of NTRU Encryption Paddings
CRYPTO '02 Proceedings of the 22nd Annual International Cryptology Conference on Advances in Cryptology
Cryptanalysis of the Revised NTRU Signature Scheme
EUROCRYPT '02 Proceedings of the International Conference on the Theory and Applications of Cryptographic Techniques: Advances in Cryptology
On the Bit Security of NTRUEncrypt
PKC '03 Proceedings of the 6th International Workshop on Theory and Practice in Public Key Cryptography: Public Key Cryptography
A Lattice Based Public Key Cryptosystem Using Polynomial Representations
PKC '03 Proceedings of the 6th International Workshop on Theory and Practice in Public Key Cryptography: Public Key Cryptography
The Two Faces of Lattices in Cryptology
CaLC '01 Revised Papers from the International Conference on Cryptography and Lattices
Choosing NTRUEncrypt Parameters in Light of Combined Lattice Reduction and MITM Approaches
ACNS '09 Proceedings of the 7th International Conference on Applied Cryptography and Network Security
MaTRU: a new NTRU-Based cryptosystem
INDOCRYPT'05 Proceedings of the 6th international conference on Cryptology in India
SCN'04 Proceedings of the 4th international conference on Security in Communication Networks
Choosing parameter sets for NTRUEncrypt with NAEP and SVES-3
CT-RSA'05 Proceedings of the 2005 international conference on Topics in Cryptology
CT-RSA'10 Proceedings of the 2010 international conference on Topics in Cryptology
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NTRU is a fast public key cryptosystem presented in 1996 by Hoffstein, Pipher and Silverman of Brown University. It operates in the ring of polynomials Z[X]/(XN - 1), where the domain parameter N largely determines the security of the system. Although N is typically chosen to be prime, Silverman proposes taking N to be a power of two to enable the use of Fast Fourier Transforms. We break this scheme for the specified parameters by reducing lattices of manageably small dimension to recover partial information about the private key. We then use this partial information to recover partial information about the message or to recover the private key in its entirety.