Intel Corporation

Matt Bace

Vinodh Gopal

Gilbert M Wolrich

Wajdi K Feghali

Erdinc Ozturk

Gunnar Gaubatz

Robert P Ottavi

The present disclosure provides a system and method for performing modular exponentiation. The method may include dividing a first polynomial into a plurality of segments and generating a first product by multiplying the plurality of segments of the first polynomial with a second polynomial. The method may also include generating a second product by shifting the contents of an accumulator with a factorization base. The method may further include adding the first product and the second product to yield a first intermediate result and reducing the first intermediate result to yield a second intermediate result. The method may also include generating a public key based on, at least in part, the second intermediate result. Of course, many alternatives, variations and modifications are possible without departing from this embodiment.

Factoring based modular exponentiation

The present disclosure provides a system and method for performing multi-precision division. A method according to one embodiment may include generating a first product by multiplying a modulus having a most significant bit and/or a least significant bit equal to one and a quotient approximation of the modulus. The method may also include generating the 1's complement of the first product, generating a second product by multiplying the 1's complement and the quotient approximation, normalizing and truncating the second product to obtain a quotient, and storing the quotient in memory. Of course, many alternatives, variations and modifications are possible without departing from this embodiment.

System and method for multi-precision division

Growing community of inventors

North Andover, MA, United States of America

Matt Bace