The eigenvalues of generalized Paley graphs are computed from Gaussian period sums and are shown to determine, and be determined by, the weight distributions of the associated irreducible cyclic codes when k divides (q-1)/(p-1).
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Spectral properties of generalized Paley graphs and their associated irreducible cyclic codes
The eigenvalues of generalized Paley graphs are computed from Gaussian period sums and are shown to determine, and be determined by, the weight distributions of the associated irreducible cyclic codes when k divides (q-1)/(p-1).