Two-dimensional Fire codes

To improve the reliability of two-dimensional information, codes that can correct two-dimensional bursts (or spots) may be useful. In this paper a class of two-dimensional burst-correcting codes, called two-dimensional Fire codes, is proposed. The definition of these codes is a natural extension of that of the conventional Fire codes. The two-dimensional Fire code is a two-dimensional cyclic code designed for single two-dimensional burst correction. Several important properties such as the burst-correcting capability and the positions of the check symbols are presented. Also, encoding and decoding methods are presented. It is shown that the encoding and decoding are easily implemented by using two-dimensional feedback shift registers.