Journal of Statistical Planning and Inference
Finite projective geometries are used to obtain some series of Taguchi's linear graphs involving m^4 runs, where m is a prime or a prime power. The concept of maximal linear graph is introduced to reduce the number of nonisomorphic linear graphs. Some 81-run maximal linear graphs are given as examples. A table of 27 nonisomorphic 16-run maximal linear graphs, which is believed to be complete, is provided.
Suen, Chung Yi, "Construction of m^4 Run Linear Graphs by Finite Geometries" (2005). Mathematics Faculty Publications. 176.
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