Abstract
Metrics are defined which describe array bursts. Spectra for these metrics, bounds for optimal codes and code constructions are discussed.
Preview
Unable to display preview. Download preview PDF.
References
Hideki Imai, ”Two-dimensional Fire codes,” IEEE Trans. Inform. Theory, vol. IT-19, #6, Nov.. 1973.
Hideki Imai, ”Two-dimensional burst-correcting codes” (in Japanese), IECE Trans.,vol. 55-A, Aug. 1972.
P. Fire, ”A class of multiple error correcting binary codes for non independent errors”, Sylvania Reconnaissance System Lab., Mountain View, Calif., Sylvania Rep. RSL-e-2, 1959.
K.A.S. Abdel-Ghafar, R.J. McEliece and H.C.A. van Tilborg, ”Two-dimensional burst identification codes and their use in burst correction”, IEEE Trans. Inform. Theory, vol. IT-3, #3, May 1988.
T. Fuja, M. Blaum, C. Heegard, ”Cross parity check convolutional codes,” IEEE Trans. Inform. Theory, vol. IT-35, #6, Nov. 1989.
M. Blaum, R.M. Roth, ”New array codes for multiple phased burst correction”, IEEE Trans. Inform. Theory, vol. IT-39, #1, Jan. 1993.
P.J. Farrell, H.C.A. van Tilborg, M. Blaum, ”Multiple burst-correcting array codes,” IEEE Trans. Inform. Theory, vol. IT-34, #5, Sep. 1993.
R.J. McEliece, M. Sayano, R.M. Goodman, ”Phased burst error-correcting codes,” IEEE Trans. Inform. Theory, vol. IT-39, #2, Mar. 1993.
K.A.S. Abdel-Ghafar, R.J. McEliece, A.M. Odlyzko and H.C.A. van Tilborg, ”On the existence of optimum cyclic burst-correcting codes,” IEEE Trans. Inform. Theory, vol. IT-32, #6, Nov. 1986.
W. Zhang and J.K. Wolf, ”A class of binary burst correcting quasi-cyclic codes,” IEEE Trans. Inform. Theory, vol. IT-34, #3, May. 1988.
E.M. Gabidulin, ”Combinatirial metrics in coding theory”, 2-nd Int.Symposium on Inf. Theory, 1971, pp. 169–176.
E.M. Gabidulin, V.I. Korzhik, Codes correcting Lattice-Pattern Errors, (in Russian), Izvestya VUZ, Radioelektronika, 1972, vol.15, #4.
E.M. Gabidulin, ”Optimal array error correcting codes”, (in Russian), Probl. Peredach. Inform., vol.21., #2, Apr.–June, 1985.
E.M. Gabidulin, V.V. Zanin, ”Matrix codes correcting array errors of size 2*2,” International Symposium on Communication Theory & Applications, Proceedings, pp. 207–212, 1993.
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1994 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Gabidulin, E.M., Zanin, V.V. (1994). Codes that correct two-dimensional burst errors. In: Chmora, A., Wicker, S.B. (eds) Error Control, Cryptology, and Speech Compression. ECCSP 1993. Lecture Notes in Computer Science, vol 829. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-58265-7_7
Download citation
DOI: https://doi.org/10.1007/3-540-58265-7_7
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-58265-6
Online ISBN: 978-3-540-48588-9
eBook Packages: Springer Book Archive