The minimum average Hamming distance of binary codes of length n and cardinality M is denoted by b ( n,M ). All the known lower bounds b ( n,M ) are useful when M is at least of size about 2 n -1/ n . In this paper, for large n , we improve upper and lower bounds for b ( n,M ).
Keywords : Binary code; Hamming distance; Minimum average Hamming distance.
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