Pandiagonal magic squares

  • Cheng-Xu Xu
  • Zhun-Wei Lu
Session 7A: Combinatorics

DOI: 10.1007/BFb0030856

Part of the Lecture Notes in Computer Science book series (LNCS, volume 959)
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

Abstract

In 1972, Hudson [2] 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 n4t+2, 9t+3, 9t+6.

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Copyright information

© Springer-Verlag 1995

Authors and Affiliations

  • Cheng-Xu Xu
    • 1
  • Zhun-Wei Lu
    • 1
  1. 1.Department of Mathematics and MechanicsTaiyuan University of TechnologyShanxiChina

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