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Some bounds on the number of cyclic Steiner 2-designs
Marco Buratti, Mikhail Muzychuk, 2025, original scientific article

Abstract: Combining some difference methods with the famous Bays-Lambossy theorem and its generalizations we establish some non-trivial lower bounds on the number of cyclic 2-(v,k,1) designs up to isomorphism.
Keywords: cyclic Steiner 2-design, difference family, multiplier
Published in RUP: 03.11.2025; Views: 858; Downloads: 7
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Cyclic groups are CI-groups for balanced configurations
Sergio Hiroki Koike Quintanar, István Kovács, Dragan Marušič, Mikhail Muzychuk, 2018, original scientific article

Keywords: Cayley object, CI-property, cyclic group, balanced configuration
Published in RUP: 20.07.2018; Views: 6498; Downloads: 287
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Primitive bicirculant association schemes and a generalization of Wielandt's theorem
István Kovács, Dragan Marušič, Mikhail Muzychuk, 2010, original scientific article

Keywords: permutation group, association scheme, primitive association scheme
Published in RUP: 15.10.2013; Views: 5294; Downloads: 139
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