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Further properties of generalized residual designs
Authors:VC Mavron  RC Mullin  A Rosa
Institution:Department of Pure Mathematics, University College of Wales, Penglais, Aberystwyth, SY23 3BZ, Wales, USA;Department of Combinatorics and Optimization, University of Waterloo, Waterloo, Ontario, Canada N2L 3G1;Department of Mathematical Sciences, McMaster University, Hamilton, Ontario, Canada L8S 4K1
Abstract:The concept of ‘residuation’ is extended so that all ‘generalized residual designs’ (in the sense of Shrinkhande and Singhi) are in fact ‘residual’ with respect to the extended type of residuation. A measure of departure from the usual type of residuation is given in general, and stronger estimates of this measure are given for affine designs.
Keywords:05B05  51E05  Quasi-residual design: Generalized extensibility  Affine resolvable design
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