US Patent 7512647 Condensed Galois field computing system

A condensed Galois field computing system including a multiplier circuit for multiplying first and second polynomials with coefficients over a Galois field to obtain their product; and a Galois field linear transformer circuit for applying an irreducible polynomial of power n to the product including a partial result generator responsive to terms of power n and greater in the product for providing a folded partial result and a Galois field adder for condensing the folded partial result and the terms less than power n in the product to obtain Galois field transformer of power n of the product.