Abstract Strongly symmetric self-orthogonal diagonal Sudoku square is investigated. The construction used by Lorch is extended via linear space over finite field, and a construction of such a Sudoku square is obtained. It is proved that a strongly symmetric self-orthogonal diagonal Sudoku square of order $n$ exists when $n$ is an odd prime integer.
SHAO Xu-yan, ZHANG Yong, WANG Cheng-min. Existence of a family of strongly symmetric self-orthogonal diagonal Sudoku squares . Applied Mathematics A Journal of Chinese Universities, 2015, 30(4): 469-475.
