Journal of Combinatorics
Volume 7 (2016)
Guest editors: Rong Luo and Cun-Quan Zhang
A Paley-like graph in characteristic two
Pages: 365 – 374
The Paley graph is a well-known self-complementary pseudo-random graph, defined over a finite field of odd order. We describe an attempt at an analogous construction using fields of even order. Some properties of the graph are noted, such as the existence of a Hamiltonian decomposition.