Paley Class

The Paley class of a positive integer m=0 (mod 4) is defined as the set of all possible quadruples (k,e,q,n) where


q is an odd prime, and

 k={0   if q=0; 1   if q^n-3=0 (mod 4); 2   if q^n-1=0 (mod 4); undefined   otherwise.

See also

Hadamard Graph, Hadamard Matrix, Paley Construction, Paley Graph

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Cite this as:

Weisstein, Eric W. "Paley Class." From MathWorld--A Wolfram Web Resource.

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