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WROCŁAW UNIVERSITY
OF SCIENCE AND
TECHNOLOGY

Contents of PMS, Vol. 9, Fasc. 2,
pages 45 - 50
 

A KRONECKER-PRODUCT DESIGN AND ITS REDUCIBLE ASSOCIATE CLASSES

S. Kageyama
R. N. Mohan

Abstract: Using incidence matrices N i of balanced incomplete block (BIB) designs and their complementary incidence matrices N * i for i = 1,2, a partially balanced incomplete block (PBIB) design in the form N ox N + N* ox N + N ox N * 1 2 1 2 1 2 is dealt with. Necessary and sufficient conditions for this rectangular PBIB design to be reducible to 2 -associate PBIB designs are discussed. It is also shown that this type of designs is not reducible to any group divisible PBIB design.

2000 AMS Mathematics Subject Classification: Primary: -; Secondary: -;

Key words and phrases: -

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