Memory system and memory controller

Abstract

A memory system according to the embodiment comprises a memory device including plural memory cells capable of storing d bits of data and operative to read/write data at every page; and a memory controller operative to control the memory device. The memory controller includes a page buffer operative to hold page data to be read from/written in a page of the memory device and send/receive the page data to/from the memory device, a data processing unit operative to detect and correct an error in the page data by processing target data in a finite field Zp modulo p generated based on the page data (p is a prime that satisfies 2<p<2), and a mapping unit operative to execute mapping of the target data from the data processing unit as page data within the page buffer.