Sets of binary sequences with small total Hamming distances.

Information Processing Letters(2019)

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摘要
The sum of the Hamming distances between pairs of binary sequences in a set is considered. It is shown that this sum is at least 8 and 48 for sets of four and eight sequences, respectively, and is at least (n−1)2 for sets of n sequences where n is not equal to 4 or 8. Sets meeting this minimum are explicitly specified.
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关键词
Combinatorial problems,Binary sequence,Hamming distance
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