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A nonempty set of words in a binary Hamming space Fn is called an r-identifying code if for every word the set of codewords within distance r from it is unique and nonempty. The smallest possible cardinality of an r-identifying code is denoted by Mr(n). In this paper, we consider questions closely related to the open problem whether Mt+r(n+m)⩽Mt(m)Mr(n) is true. For example, we show results like M1+r(n+m)⩽4M1(m)Mr(n),...
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