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An Automorphism-Free \(4-(15,5,5)\) Design

G.B. Khosrovshahi1,2, H.R. Maimani3, R. Torabi4
1 Department of Mathematics, University of Tehran.
2 Institute for Studies in Theoretical Physics and Mathematics (IPM), Tehran, Iran
3 Institute for Studies in Theoretical Physics and Mathematics (IPM), and Department of Mathematics, Shahid Rajaee University, Tehran, Iran
4Department of Mathematics, University of Tehran, and Institute for Studies in Theoretical Physics and Mathematics (IPM), Tehran, Iran

Abstract

Employing trading signed design algorithm, we construct an automorphism-free \(4\)-\((15, 5, 5)\) design.