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On disjoint (3t, 3, 1) cyclic difference families
Authors:Marco Buratti  Dina Ghinelli
Institution:1. Dipartimento di Matematica e Informatica, Università di Perugia, Via Vanvitelli 1, I-06123 Perugia, Italy;2. Dipartimento di Matematica, Università “Sapienza” di Roma, P.le Aldo Moro 5, Rome I-00161, Italy
Abstract:We give a new and easier proof of the existence of a disjoint (3t  , 3, 1) cyclic difference family for every t>3t>3, first proved by Dinitz and Shalaby (2002). Our purely theoretical construction is still elementary but simpler and does not need to be checked by computer.
Keywords:(disjoint) Difference family  Difference matrix
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