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On Integer Matrices and Incidence Matrices of Certain Combinatorial Configurations, III: Rectangular Matrices

Published online by Cambridge University Press:  20 November 2018

Kulendra N. Majindar*
Affiliation:
Loyola College, Montreal
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In this paper, we give a connection between incidence matrices of affine resolvable balanced incomplete block designs and rectangular integer matrices subject to certain arithmetical conditions. The definition of these terms can be found in paper II of this series or in (2). For some necessary conditions on the parameters of affine resolvable balanced incomplete block designs and their properties see (2).

Type
Research Article
Copyright
Copyright © Canadian Mathematical Society 1966

References

1. Majindar, Kulendra N., On the parameters and intersection of blocks of balanced incomplete block designs, Ann. Math. Statist., 33 (1962), 12001205.Google Scholar
2.Kulendra Majumdar, N., On some theorems in combinatorics relating to incomplete block designs, Ann. Math. Statist., 24 (1953), 377389.Google Scholar