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Titlebook: Combinatorial Mathematics IV; Proceedings of the F Louis R. A. Casse,Walter D. Wallis Conference proceedings 1976 Springer-Verlag Berlin He

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Sudhansu Chokroverty,Michel BilliardWe fully update the existence problem of orthogonal designs in order 16..It is interesting to note that all n variable designs in order 16 for n=1,2,…,5 and all 6 and 7 variable designs which exist can be constructed from known 8 and 9 variable designs.
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Some incidence structures of maximal rank,Generic algebra methods are used to translate combinatorial results about Weyl groups into statements about classical groups. A consequence is the maximal nature of the rank of the incidence matrix of isotropice-subspaces vs isotropic f-subspaces of a finite vector space V with a form F, in many cases.
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On crystallographic colour groups,The reasons for coincidences of colour group patterns are investigated.
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Orthogonal designs in order sixteen,We fully update the existence problem of orthogonal designs in order 16..It is interesting to note that all n variable designs in order 16 for n=1,2,…,5 and all 6 and 7 variable designs which exist can be constructed from known 8 and 9 variable designs.
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