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On unit weighing matrices with small weight

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arxiv 1209.4581 v2 pith:T7SSZ2SK submitted 2012-09-20 math.CO

On unit weighing matrices with small weight

classification math.CO
keywords matricesunitweighingnumberorderweightscasescomplexities
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We study the structure of unit weighing matrices of order n and weights 2, 3 and 4. We show that the number of inequivalent unit weighing matrices UW(n,4) depends on the number of decompositions of n into sums of non-negative multiples of some specific positive integers. We also show two interesting sporadic cases in order to show the complexities involved for weights larger than 4.

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