PURPOSE: To improve the correction capability of an error caused on a transmission line without much deteriorating the transmission efficiency by correcting the detected error in any axial direction of 3-dimension matrix based on an error correction parity data.

CONSTITUTION: An error correction coding section 100 adding an error correction redundancy code to a data transmission side and an error correction decoding section 200 detecting and correcting an error to a data reception side are provided. Then a frame in the unit of data transmission is formed to be a 3-dimension matrix at the sender side and an error detection check data is added to a data in the frame and a parity data for error correction is added in the 3-dimensional direction of the frame. A data reception side detects a data error sent in the unit of frames by a check data and the detected error is corrected from any axial direction of 3-dimension matrix based on the error correction parity data. Thus, the correction capability of an error caused on a transmission line L without much deteriorating the transmission efficiency is enhanced.