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Partially balanced incomplete block designs with two associate classes
Authors:KT Arasu  Pradeep Bansal  Cody Watson
Institution:1. Department of Mathematics and Statistics, Wright State University, Dayton, OH 45435-0001, USA;2. Department of Computer Science and Engineering, Indian Institute of Technology Guwahati, Guwahati 781039, Assam, India
Abstract:We provide constructions of cyclic 2-class PBIBD's using cyclotomy in finite fields. Our results give theoretical explanations of the two sporadic examples given by Agrawal (1987).
Keywords:Partially balanced block designs  Association scheme  Cyclotomy
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