Abstract
Let p be a prime, p=4t−1, t≥2. A construction is given for a balanced incomplete block design with parameters (4t−1, (2t−1)(4t−1), (2t−1)2, 2t−1, (2t−1)(t−1)), which contains no (4t−1, 2t−1, t−1) symmetric design.
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References
M. Hall Jr., Combinatorial Theory, Blaisdell Publishing Company, Waltham, Toronto, London, 1967.
R.G. Stanton and R.J. Collens, A computer system for research on the family classification of BIBDs, Proc. Conf. on Comb. Theory, Rome, 1973 (to appear).
W.D. Wallis, Anne Penfold Street and Jennifer Seberry Wallis, Combinatorics: Room squares, sum-free sets, Hadamard matrices. Lecture Notes in Mathematics 292, Springer-Verlag, Berlin, Heidelberg, New York, 1972.
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© 1977 Springer-Verlag
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Street, A.P. (1977). On quasi-multiple designs. In: Little, C.H.C. (eds) Combinatorial Mathematics V. Lecture Notes in Mathematics, vol 622. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0069194
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DOI: https://doi.org/10.1007/BFb0069194
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