We give a new and easier proof of the existence of a disjoint (3t, 3, 1) cyclic difference family for every t >3, ?rst proved by Dinitz and Shalaby (2002). Our purely theoretical construction is still elementary but simpler and does not need to be checked by computer.
On disjoint (3t,3,1) difference families / M., Buratti; Ghinelli, Dina. - In: JOURNAL OF STATISTICAL PLANNING AND INFERENCE. - ISSN 0378-3758. - STAMPA. - 140:(2010), pp. 1918-1922. [10.1016/j.jspi.2010.01.038]
On disjoint (3t,3,1) difference families
M. BURATTI;GHINELLI, Dina
2010
Abstract
We give a new and easier proof of the existence of a disjoint (3t, 3, 1) cyclic difference family for every t >3, ?rst proved by Dinitz and Shalaby (2002). Our purely theoretical construction is still elementary but simpler and does not need to be checked by computer.File allegati a questo prodotto
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