Some lower bounds on the number of code points in a minimum distance binary code. I

Bambah, R. P. ; Joshi, D. D. ; Luthar, Indar S. (1961) Some lower bounds on the number of code points in a minimum distance binary code. I Information and Control, 4 (4). pp. 313-319. ISSN 0019-9958

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Official URL: http://linkinghub.elsevier.com/retrieve/pii/S00199...

Related URL: http://dx.doi.org/10.1016/S0019-9958(61)80046-6

Abstract

M(n, d) denotes a maximal set of n-place binary sequences with entries 0 and 1 such that the Hamming distance between any two sequences of the set is at least d.| M(n, d) | denotes the number of sequences in the set M(n, d). In this paper we obtain some lower bounds for | M(n, d) | for special values of n and d. The results are better than the known results due to Gilbert.

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