Method and apparatus for performing finite field calculations

Details Method and apparatus for performing finite field calculations Method and apparatus for performing finite field calculations

2008-05-13

2008-05-13

Revak, Christopher (Department: 2131)

Cryptography

Particular algorithmic function encoding

C380S044000, C713S169000, C713S171000

Reexamination Certificate

active

10058212

ABSTRACT:
In general terms, the invention provides a finite field engine and methods for operating on elements in a finite field. The finite field engine provides finite field sub-engines suitable for any finite field size requiring a fixed number of machine words. The engine reuses these engines, along with some general purpose component or specific component providing modular reduction associated with the exact reduction (polynomial or prime) of a specific finite field. The engine has wordsized suitable code capable of adding, subtracting, multiplying, squaring, or inverting finite field elements, as long as the elements are representable in no more than the given number of words. The wordsized code produces unreduced values. Specific reduction is then applied to the unreduced value, as is suitable for the specific finite field. In this way, fast engines can be produced for many specific finite fields, without duplicating the bulk of the engine instructions (program).

REFERENCES:
patent: 5982895 (1999-11-01), Dworkin et al.
patent: 6049815 (2000-04-01), Lambert et al.
patent: 6199086 (2001-03-01), Dworkin et al.
patent: 6230179 (2001-05-01), Dworkin et al.
patent: 6263081 (2001-07-01), Miyaji et al.
patent: 6430588 (2002-08-01), Kobayashi et al.
patent: 6466668 (2002-10-01), Miyazaki et al.
patent: 6480606 (2002-11-01), Kurumatani
patent: 6618483 (2003-09-01), Vanstone et al.
patent: 6714648 (2004-03-01), Miyazaki et al.
patent: 7286666 (2007-10-01), Coron
patent: 2002/0136402 (2002-09-01), Vanstone
patent: 2003/0021410 (2003-01-01), Miyazaki et al.

Affiliated with

Also associated with

Rating

Method and apparatus for performing finite field calculations does not yet have a rating. At this time, there are no reviews or comments for this patent.

If you have personal experience with Method and apparatus for performing finite field calculations, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Method and apparatus for performing finite field calculations will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFUS-PAI-O-3950476