Paley Class

The Paley class of a positive integer is defined as the set of all possible quadruples where

(1)

where is a nonnegative integer, is a positive integer, and is an odd prime, with an additional Sylvester class represented by and when is a power of 2. The class type is

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

(2)

See also

Hadamard Graph, Hadamard Matrix, Paley Construction, Paley Graph

Explore with Wolfram|Alpha

More things to try:

Cite this as:

Weisstein, Eric W. "Paley Class." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/PaleyClass.html

Subject classifications