We'll present a new digital signature scheme whose underlying hard problem is the difficulty of locating a short vector in a lattice of high dimension. In this scheme the private signing key and the public verifying key have the same form as the corresponding private and public keys of the NTRU public key cryptosystem. Indeed the form and characteristics are quite similar to NTRU - signing and verifying are very fast and efficient and the length of a signature is somewhat less than that of an NTRU public key. A security analysis will be sketched, to the extent that time permits.

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