Proof of a conjecture of Kløve on permutation codes under the Chebychev distance

Victor J. W. Guo, Yiting Yang

Let $d$ be a positive integer and $x$ a real number. Let $A_{d,x}$ be a $d\times 2d$ matrix with its entries $$ a_{i,j}=\left\{ \begin{array}{ll} x\ \ & \mbox{for} \ 1\leqslant j\…