NTRUEncrypt

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NTRUEncrypt, also known as the NTRU encryption algorithm, is an asymmetric key encryption algorithm for public key cryptography. It was invented in the mid-1990s and is patented and endorsed by NTRU Cryptosystems, Inc..

NTRUEncrypt employs certain rings of polynomials with convolution multiplication. It relies on the presumed difficulty of factoring certain polynomials in such rings into a quotient of two polynomials having very small coefficients. Breaking the cryptosystem is strongly related, though not equivalent, to the algorithmic problem of lattice reduction (solving the closest vector problem) in certain lattices. Careful choice of parameters is necessary to thwart some published attacks.

Since both encryption and decryption use only simple polynomial multiplication, these operations are very fast compared to other asymmetric encryption schemes, such as RSA, El Gamal and elliptic curve cryptography. However, NTRUEncrypt has not yet undergone a comparable amount cryptographic analysis.

A related algorithm is the NTRUSign digital signature algorithm.

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