Orthogonal Resolutions and Latin Squares

Authors

  • Svetlana Topalova
  • Stela Zhelezova

DOI:

https://doi.org/10.55630/sjc.2013.7.13-24

Keywords:

Combinatorial Design, Orthogonal Resolution, Latin Square

Abstract

Resolutions which are orthogonal to at least one other resolution (RORs) and sets of m mutually orthogonal resolutions (m-MORs) of 2-(v, k, λ) designs are considered. A dependence of the number of nonisomorphic RORs and m-MORs of multiple designs on the number of inequivalent sets of v/k − 1 mutually orthogonal latin squares (MOLS) of size m is obtained. ACM Computing Classification System (1998): G.2.1.

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Published

2013-07-23

Issue

Section

Articles