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Partially supported by the Technical University of Gabrovo under Grant C-801/2008
One of the main problems in the theory of superimposed codes
is to find the minimum length N for which an (N, T,w, r) superimposed
code exists for given values of T , w and r. Let N(T,w, r) be the minimum
length N for which an (N, T,w, r) superimposed code exists. The (N, T,w, r)
superimposed code is called optimal when N = N(T,w, r). The values of
N(T, 1, 2) are known for T ≤ 12 and the values of N(T,...
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