US Patent 8001448 Semiconductor memory device

A semiconductor memory device including an error detecting and correcting system, wherein the error detecting and correcting system includes a 3EC system configured to be able to detect and correct 3-bit errors, and wherein the 3EC system is configured to search errors in such a manner that 3-degree error searching equation is divided into a first part containing only unknown numbers and a second part calculative with syndromes via variable transformation by use of two or more parameters, and previously nominated solution indexes collected in a table and syndrome indexes are compared to each other.