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Ars Combinatoria

  • Research article

The Existence of Self-Conjugate Self-Orthogonal Idempotent Diagonal Latin Squares

Beiliang Du1, W.D. Wallis2
1Department of Mathematics Suzhou University Suzhou 215006, PRC
2Department of Mathematics Southern Illinois University Carbondale, IL 62901 USA
  • Published: 31/10/1999

Abstract

In this paper, we prove that there exists an SCSOIDLS(\(v\)) if and only if \(v \equiv 0, 1 \pmod{4}\), other than \(v = 5\), with \(40\) possible exceptions.

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Citation
Beiliang Du, W.D. Wallis. The Existence of Self-Conjugate Self-Orthogonal Idempotent Diagonal Latin Squares[J], Ars Combinatoria, Volume 053. 97-109. DOI: .