Abstract :
R.T. Chien and D.T. Tang [On definition of a burst, IBM J. Res. Develop. 9 (1965) 292–293] introduced the concept of Chien and Tang bursts (CT bursts) for classical coding systems where codes are subsets (or subspaces) of the space image, the space of all n-tuples with entries from a finite field image. In this paper, we extend the notion of CT bursts for array coding systems where array codes are subsets (or subspaces) of the space image, the linear space of all image matrices with entries from a finite field image, endowed with a non-Hamming metric [M.Yu. Rosenbloom, M.A. Tsfasman, Codes for m-metric, Problems Inform. Transmission 33 (1997) 45–52]. We also obtain some bounds on the parameters of array codes for the detection and correction of CT burst errors.
