The invention discloses a method for reinforcing a memory based on low-redundancy matrix codes constructed by a Latin square matrix, relates to a low-redundancy matrix code construction method, and solves the problem that an existing mode for reinforcing the memory by an encoder and a decoder influences memory performance. For a multi-unit turnover effect in a single-particle turnover effect, themethod is based on the low-redundancy matrix codes constructed by the Latin square matrix, and the low-redundancy matrix codes are error correction codes; for i information bits, the information bitsare arranged in a mXn matrix, wherein m is not equal to 4 and is a row number, and n is a column number; and the low-redundancy matrix codes constructed by adopting the construction method provided bythe invention can correct random 1-bit errors, continuous 2-bit errors, until maximum continuous n-1-bit errors, and the number of required redundant bits is 2n. The method is mainly used for reinforcing the memory, and is further used for performing protection on the fields of disk arrays, information communication and the like.