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A reversible code over GF(q). (English) Zbl 0597.94011

Summary: This paper deals with the construction of codes over GF(q), q prime, by annexing two triangular matrices, one upper triangular and the other lower triangular. The error-correction capabilities of such codes are also studied.

MSC:

94B05 Linear codes (general theory)
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References:

[1] B. K. Dass, S. K. Muttoo: A reversible code and its characterization. Presented at the 46th Conference of the Indian Mathematical Society held at Bangalore, December 27-29, 1980.
[2] F. J. Mac Williams, N. J. A. Sloane: The Theory of Error Correcting Codes. North Holland, Amsterdam 1978.
[3] J. L. Massey: Reversible Codes. Inform. and Control 7 (1964), 369-380. · Zbl 0137.37704
[4] W. W. Peterson, E. J. Weldon, Jr.: Error Correcting Codes. Second edition. MIT Press, Cambridge, Mass. 1972. · Zbl 0251.94007
[5] S. G. S. Shiva, C. L. Sheng: Multiple solid burst-error-correcting binary codes. IEEE Trans. Inform. Theory IT-15 (1969), 188-189.
[6] K. K. Tzeng, C. R. P. Hartmann: On minimum distance of certain reversible cyclic codes. IEEE Trans. Inform. Theory IT-16 (1970), 644-646. · Zbl 0199.54103
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