Symmetric designs of types V and VI |
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Authors: | NT Butler |
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Institution: | Mathematics Department, Westfield College, University of London, Kidderpore Av., London N.W. 3, U.K. |
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Abstract: | In Butler (1984a) a semi-translation block was defined and a classification given of all symmetric 2-(υ,k,λ) designs with λ>1, which contain more than one such block. In this paper we consider symmetric designs of type V and VI. We show that symmetric designs of type V are also of type VI, and in addition we show that all such designs can be obtained from a Pn,q by a construction which we give. Finally examples of proper symmetric designs of type V which are not of type VI are given. |
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Keywords: | 05B05 Translation block Semi-translation block Good block |
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