The patent badge is an abbreviated version of the USPTO patent document. The patent badge does contain a link to the full patent document.
The patent badge is an abbreviated version of the USPTO patent document. The patent badge covers the following: Patent number, Date patent was issued, Date patent was filed, Title of the patent, Applicant, Inventor, Assignee, Attorney firm, Primary examiner, Assistant examiner, CPCs, and Abstract. The patent badge does contain a link to the full patent document (in Adobe Acrobat format, aka pdf). To download or print any patent click here.
Patent No.:
Date of Patent:
Oct. 18, 2005
Filed:
Oct. 09, 2001
Chin-long Chen, Fishkill, NY (US);
Chin-Long Chen, Fishkill, NY (US);
International Business Machines Corporation, Armonk, NY (US);
Abstract
Finite field elements from the Galois field GF(2) are represented as polynomials with binary valued coefficients. As such, multiplication in the field is defined modulo an irreducible polynomial of degree k−1. One of the multiplicands is treated in blocks of polynomials of degree n−1 so that the multiplier operates over T cycles where k=nT. If k is not a composite number to start with, higher order terms are added, so that multipliers are now constructable even when k is prime. Since n<k, the construction of the needed multiplier circuits are much simpler. Designers are now provided with an opportunity of easily trading off circuit speed for circuit complexity in an orderly and structured fashion.