Duals of Partially Balanced Incomplete Block Designs and some Nonexistence Theorems
نویسندگان
چکیده
منابع مشابه
A New Family of Partially Balanced Incomplete Block Designs with Some Latin Square Design Properties
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Non-Isomorphic Solutions of Some Balanced Incomplete Block Designs II
Some techniques are developed for constructing non-isomorphic solutions of symmetric (4t + 3,2t + 1, t) designs for suitable values of t and for (4t + 2, 8t + 2,4t + 1,2t + 1,2t) and (4t + 4, St + 6,4t + 3,2t + 2,2t + 1) designs. As an application, some non-isomorphic solutions of (19,9,4), (10,18, 9, 5, 4), and (12, 22, 11, 6, 5) designs are obtained. In [l] some other techniques were given fo...
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Proof. Assume the hypothesis and the falsity of either conclusion. Construct matrix A of 2x + 2 rows and 4x+4 columns, with entries + 1 and — 1. The first column contains exclusively +1, and the second column — 1. Set up one-to-one correspondences between rows of A and elements of D ; between columns other than the first two of A and blocks of D. Enter +1 if the element is contained in the bloc...
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ژورنال
عنوان ژورنال: The Annals of Mathematical Statistics
سال: 1966
ISSN: 0003-4851
DOI: 10.1214/aoms/1177699387