Patent ID: 7774679
Filing Date: 2010-08-10
Classification: G11B,H03M

Abstract:
1. An integrated circuit having a memory and a microprocessor that performs Galois field arithmetic on 12-bit numbers read from a digital data stored on a disk, the integrated circuit comprising: an arithmetic unit operable by the microprocessor to extend for the 12-bit numbers a base field GF(2) to GF(2 wherein the arithmetic unit is operable by the microprocessor to extend for the 12-bit numbers GF(2 wherein the arithmetic unit is operable by the microprocessor to extend for the 12-bit numbers GF(2 wherein the values for ai and the first list produce a first set of irreducible polynomials, and the values for bi and the second list produce a second set of irreducible polynomials; and wherein the first set of irreducible polynomials and the second set of irreducible polynomials are used to detect errors in digital data stored on a disk.