A memory system includes a nonvolatile memory and a memory controller. The nonvolatile memory stores a multidimensional error correction code in which each of a plurality of symbol groups is encoded by both a first component code and a second component code. The memory controller reads the error correction code from the nonvolatile memory, executes a first decoding process using the first component code and the second component code, and when the first decoding process fails, executes a second decoding process on an error symbol group. The second decoding process includes a process of selecting the positions of a plurality of symbols whose values included in the error symbol group are to be inverted according to a decision rule. The decision rule includes a rule for cyclically shifting a position selected for the second decoding process at to decide the position for the second decoding process at the next time.