Key, J. D.; Moori, J. Codes, designs and graphs from the Janko groups \(J_1\) and \(J_2\). (English) Zbl 0999.05010 J. Comb. Math. Comb. Comput. 40, 143-159 (2002); correction ibid. 64, 153 (2008). Summary: We construct some codes, designs and graphs that have the first or second Janko group, \(J_1\) or \(J_2\), respecively, acting as an automorphism group. We show computationally that the full automorphism group of the design or graph in each case is \(J_1\), \(J_2\) or \(\overline J_2\), the extension of \(J_2\) by its outer automorphism, and we show that for some of the codes the same is true. Cited in 5 ReviewsCited in 38 Documents MSC: 05B05 Combinatorial aspects of block designs 05C25 Graphs and abstract algebra (groups, rings, fields, etc.) 94B05 Linear codes (general theory) Keywords:codes; designs; graphs; Janko group; automorphism group PDFBibTeX XMLCite \textit{J. D. Key} and \textit{J. Moori}, J. Comb. Math. Comb. Comput. 40, 143--159 (2002; Zbl 0999.05010)