Ntru Cryptosystems, Inc.

Ntru Cryptosystmes, Inc.

Nicholas A Howgrave-Graham

William Whyte

Jeffrey Hoffstein

Joseph H Silverman

Jill C Pipher

A signing technique of a disclosed identification/digital signature method hereof uses a mixing system based on multiplication in a ring and reduction modulo an ideal q in that ring, while a disclosed verification technique uses special properties of products of elements whose validity depends on elementary probability theory. The security of the identification/digital signature scheme comes from the interaction of reduction modulo q and the difficulty of forming products with special properties. In an embodiment of the identification/digital signature scheme hereof that employs a quotient ring of polynomials, the security also relies on the experimentally observed fact that for most lattices, it is very difficult to find a vector whose length is only a little bit longer than the shortest vector, and it is also difficult to find a lattice vector that is quite close to a randomly chosen nonlattice vector.

Digital signature and authentication method and apparatus

A method, system and apparatus for performing user identification, digital signatures and other secure communication functions in which keys are chosen essentially at random from a large set of vectors and key lengths are comparable to the key lengths in other common identification and digital signature schemes at comparable security levels. The signing technique of an embodiment of the identification/digital signature scheme hereof uses a mixing system based on multiplication in a ring and reduction modulo an ideal q in that ring; while the verification technique uses special properties of products of elements whose validity depends on elementary probability theory. The security of the identification/digital signature scheme comes from the interaction of reduction modulo q and the difficulty of forming products with special properties.

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Arlington, MA, United States of America

Nicholas A Howgrave-Graham