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In this paper we investigate the existence of holey group divisible designs with block size four. Using both direct and recursive constructions, an almost complete solution is given.
Combinatorial designs have long had substantial application in the statistical design of experiments, and in the theory of error-correcting codes. Applications in experimental and theoretical computer science, communications, cryptography and networking have also emerged in recent years. In this paper, we focus on a new application of combinatorial design theory in experimental design theory. E(f...
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