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

m=2^e(q^n+1),

(1)

q is an odd prime, and

[画像: 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

WolframAlpha

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