A memory system including a history buffer, a hash calculator, a read pointer table, a history buffer writing circuit, a read pointer writing circuit, a read pointer reading circuit, a history buffer reading circuit, a matching circuit replacing the input data string with a reference information referring the matching candidate data string in the case where at least a part of the input data string and a part of the matching candidate data string match. Reading of the read pointer by the read pointer reading circuit and reading of the stored input data string by the history buffer reading circuit are executed after writing of the read pointer by the read pointer writing circuit and writing of the input data string by the history buffer writing circuit are finished.