Proceedings of the 1999 IEEE Information Theory and Communications Workshop (Cat. No. 99EX253)
DOI: 10.1109/itcom.1999.781415
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Abstract: In [l] we claimed that the transmission rate of a nonbinary (q-ary) code of length n which corrects localized errors asymptotically equals the Hamming bound on an interval T E [0, TO], TO 5 1/2, and conjectured that TO = 1 / 2 (transmission rate is zero if the number of errors is greater than or equal to n / 2 ) . Though we have not succeeded in proving our conjecture we decided t o promulgate the derivation of the incomplete result on the Hamming bound, the more so, as the method of the proof itself is of in… Show more

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