Patent ID: 7962836

Claim:
A non-volatile memory device comprising: a Bose, Ray-Chaudhuri, Hocquenghem (BCH) decoder including, a syndrome calculator responsive to a page of information, the page including data and overhead, the data being organized into a plurality of data sections and the overhead being organized into a plurality of overhead sections, the syndrome calculator operative to generate a syndrome for each of the data sections; a root finder coupled to receive the calculated syndrome and operative to generate at least two roots; and a polynomial calculator responsive to the at least two roots and operative to generate at least two error addresses, each identifying a location in the data wherein the error lies, wherein the plurality of data sections is four sections and the root finder generates the at least two roots, Z 1 and Z 2 , based upon a Galois Field (GF) (2 11 ) calculation.