Patents

Patent #7,913,088   Digital signature and authentication method and apparatus
J. Hoffstein, N. Howgrave-Graham, J. Pipher, J. Silverman, W. Whyte. , March 2011

Patent #7,308,097    Digital signature and authentication method and apparatus
J. Hoffstein, N. Howgrave-Graham, J. J. Pipher, Silverman, W. Whyte, December 2007

Patent #6,298,137    Ring-based public key cryptosystem method
J.Hoffstein, J. Pipher, J. Silverman, October 2001

Patent #6,081,597    Public key cryptosystem method and apparatus
J. Hoffstein, J. Pipher, J. Silverman June 2000