Kuhl et al.'s existence conjecture for two-repetition gerechte designs with five subsquares
Let h1,…,h5h_1,\dots,h_5h1,…,h5 be positive integers, let n=h1+⋯+h5n=h_1+\cdots+h_5n=h1+⋯+h5, and let [5]={1,2,3,4,5}[5]=\{1,2,3,4,5\}[5]={1,2,3,4,5}. A 2-RP(h1…h5)\operatorname{2-RP}(h_1\dots h_5)2-RP(h1…h5) is a two-repetition gerechte design whose five…