Contents

Ars Combinatoria

  • Research article

Three Mutually Orthogonal Idempotent Latin Squares of Order \(18\)

Xiafu Zhang1, Hangfu Zhang2
1Department of Basic Science and Technology Kunming Institute of Technology Kunming, Yunnan 650093 P.R. China
2 Department of Mathematics University of Southern California Los Angeles, CA 90089-1113
  • Published: 30/04/1997

Abstract

Three mutually orthogonal idempotent Latin squares of order \(18\) are constructed, which can be used to obtain \(3\) HMOLS of type \(5^{18}\) and type \(23^{18}\) and to obtain a \((90, 5, 1)\)-PMD.

Citation
Xiafu Zhang, Hangfu Zhang. Three Mutually Orthogonal Idempotent Latin Squares of Order \(18\)[J], Ars Combinatoria, Volume 045. 257-261. .