Kirkman frames having hole type hum1 for small h

Authors:
Gennian Ge;Rolf Rees;Nabil Shalaby
Affiliations:
Department of Mathematics, Zhejiang University, Hangzhou, P. R. China 310027;Department of Mathematics and Statistics, Memorial University of Newfoundland, St. John's, Canada A1C 5S7;Department of Mathematics and Statistics, Memorial University of Newfoundland, St. John's, Canada A1C 5S7
Venue:
Designs, Codes and Cryptography
Year:
2007

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Abstract

We begin an investigation into the spectrum of (non-uniform) Kirkman frames of type hum1, paying particular attention to the cases where h ∈{2,4,6,8,10,12}. We show that for each of these values of h the obvious necessary conditions on u, m are sufficient in all but at most 24 cases of (h,u,m).