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Cyclic <i>k</i>‐cycle systems of order 2<i>kn</i> + <i>k</i>: A solution of the last open cases

Cyclic <i>k</i>‐cycle systems of order 2<i>kn</i> + <i>k</i>: A solution of the last open cases

Abstract We exhibit cyclic ( K v , C k )‐designs with v &gt; k , v ≡ k (mod 2 k ), for k an odd prime power but not a prime, and for k = 15. Such values were the only ones not to be analyzed yet, under …