Direct constructions for general families of cyclic mutually nearly orthogonal Latin squares

Fatih Demirkale, Diane Donovan, Abdollah Khodkar

Two Latin squares $L=[l(i,j)]$ and $M=[m(i,j)]$, of even order $n$ with entries $\{0,1,2,\dots ,n-1\}$, are said to be nearly orthogonal if the superimposition of $L$ on $M$ yields…