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12,903 entries
Last updated: Mon Dec 1 2008

Created, developed, and nurtured by Eric Weisstein
at Wolfram Research
Algebra > Linear Algebra > Matrices > Integer Matrices >

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

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




CITE THIS AS:

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

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