On disjoint (3t, 3, 1) cyclic difference families |
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Authors: | Marco Buratti Dina Ghinelli |
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Affiliation: | 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 |
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Abstract: | We give a new and easier proof of the existence of a disjoint (3t , 3, 1) cyclic difference family for every t>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. |
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Keywords: | (disjoint) Difference family Difference matrix |
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