New Constructions of Menon Difference Sets
Document Type
Article
Publication Date
11-1-1993
Abstract
Menon difference sets have parameters (4N2, 2N2 − N, N2 − N). These have been constructed for N = 2a3b, 0 ⩽ a,b, but the only known constructions in abelian groups require that the Sylow 3-subgroup be elementary abelian (there are some nonabelian examples). This paper provides a construction of difference sets in higher exponent groups, and this provides new examples of perfect binary arrays.
Repository Citation
Arasu, K. T.,
Davis, J. A.,
Jedwab, J.,
& Sehgal, S. K.
(1993). New Constructions of Menon Difference Sets. Journal of Combinatorial Theory. Series A, 64 (2), 329-336.
https://corescholar.libraries.wright.edu/math/581
DOI
10.1016/0097-3165(93)90101-D
