A note on relations between incomplete block and weighing designs
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Existence of a balanced incomplete block (BIB) design satisfyingb<=4(r-γ) is shown to imply the existence of an optimum chemical balance weighing design forv objects in 4(r-γ) weighings. It is also shown that the existence of an affine-resolvable BIB design with the parametersv, b, r, k and γ, havingb=2r, implies the existence of an optimum chemical balance weighing design forr objects inv weighings.
KeywordsOrthogonal Array SAHA Incidence Matrix Chemical Balance Indian Statistical Institute
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