Pandiagonal magic squares

  • Cheng-Xu Xu
  • Zhun-Wei Lu
Session 7A: Combinatorics
Part of the Lecture Notes in Computer Science book series (LNCS, volume 959)

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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References

  1. 1.
    A.Hedayat, A Complete Solution to the Existence and Nonexistence of Knut Vik Designs and Orthogonal Knut Vik Designs, J. Combinatorial Theory(A) 22(1977), 331–337.CrossRefGoogle Scholar
  2. 2.
    C.B.Hudson, On pandiagonal magic squares of order 6t±1, Math. Mag. 45(1972). 94–96.Google Scholar

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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