Pandiagonal magic squares
- Cite this paper as:
- Xu CX., Lu ZW. (1995) Pandiagonal magic squares. In: Du DZ., Li M. (eds) Computing and Combinatorics. COCOON 1995. Lecture Notes in Computer Science, vol 959. Springer, Berlin, Heidelberg
In 1972, Hudson  gave a method for the construction of pandiagonal magic squares of order 6t±1. In this paper we give the definition of pandiagonal Latin squares and the methods for the construction of self orthogonal pandiagonal Latin squares of order 4, 8, 9, 27 and prime p⩾5. One can use the technique of Kronecker products for the construction of self orthogonal pandiagonal Latin squares and pandiagonal magic squares of order n provided n ≠ 4t+2, 9t+3, 9t+6.
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