Directed strongly regular graphs and their codes
Bull. Korean Math. Soc. 2017 Vol. 54, No. 2, 497-505
Published online March 20, 2017
Printed March 31, 2017
Adel Alahmadi, Ahmad Alkenani, Jon-Lark Kim, Minjia Shi, and Patrick Sol\'{e}
King Abdulaziz University, King Abdulaziz University, Sogang University, Southeast University and School of Mathematical Sciences, University of Paris 8
Abstract : The rank over a finite field of the adjacency matrix of a directed strongly regular graph is studied, with some applications to the construction of linear codes. Three techniques are used: code orthogonality, adjacency matrix determinant, and adjacency matrix spectrum.
Keywords : adjacency matrix, directed graph, DSRG, error correcting code, SRG, strongly regular graph
MSC numbers : Primary 94B25, 05E30
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