Disclosed is a method and system for providing a minimal aliasing error correction code. In constructing a single error correction (SEC) code by constructing a parity check matrix H for a data length k applied to a device, as the SEC code is designed to be valid and minimize generation of aliasing by checking some bits rather than all bits when nonzero binary column matrices different from each other are arranged in the parity check matrix, destruction of information can be prevented, and reliability of a device applying the SEC, such as DRAM or the like, can be improved.