Elsevier

Discrete Mathematics

Volume 110, Issues 1–3, 11 December 1992, Pages 155-164
Discrete Mathematics

System of equations related to the existence conditions for arrays

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Abstract

A system of equations was introduced by Yamamoto, Kuriki and Yuan (1983) and Kuriki (1984) in order to obtain the existence conditions for a balanced array. A generalized form of the system is discussed here. The results will be useful to give the existence conditions for several classes of arrays which contain balanced arrays.

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This research was supported in part by Grant-in-Aid for Scientific Research of the Ministry of Education, Science and Culture under Contract Number 321-6009-61530017.