On Classification of \(2-(8,3)\) and \(2-(9,3)\) Tradest

Z. Eslami1, G. B. Khosrovshahi1, B. Tayfeh-Rezaie1
1Department of Mathematics, University of Tehran and Institute for Studies in Theoretical Physics and Mathematics (IPM) Tehran, Iran

Abstract

In this paper, the standard basis for trades is used to develop an algorithm to classify all simple 2-(8,3) trades. The existence of a total number of 15,011 trades reveals the rich structure of trades in spite of a small number of points. Some results on simple 2-(9, 3) trades are also obtained.