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A simple construction of \(d\)-disjunct matrices with certain constant weights. (English) Zbl 0870.05012
Summary: We give a simple method of constructing \(d\)-disjunct matrices. For \(k>d\), our construction yields an \({n\choose d}\times {n\choose k}\) \(d\)-disjunct matrix with column weight \({k\choose d}\) and row weight \({{n-d}\choose {k-d}}\).

MSC:
05B20 Combinatorial aspects of matrices (incidence, Hadamard, etc.)
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