Paley Type I Hadamard matrices 1.0

Usage:H = paleyI(N);N: order of the Hadamard matrix to be computed (integer)H: returns the computed Hadamard matrix or returns 0 if an error occurred (invalid matrix order or incorrect H-matrix)H-matrices of Paley type I are defined for orders N = 4m = p+1 (m=1,2,3,...), where p is a prime with mod(p,4)=3, i.e. N=12, 20, 44, 60, 68, 72, 84, ... (In this list valid Paley type I matrix orders that are equal to N=2^n (n=1,2,3,...) are omitted).H-matrices contain only '+1' and '-1' elements and are orthogonal.The first row and column of a Paley type I H-matrix consists only of '+1' elements. All diagonal elements H(l,m) with l=m~=1 are equal to '-1'. The determination of all other elements is based on evaluating the Legendre symbol,which is defined to be equal to '+1' or '-1' if its argument is a quadratic residue or a quadratic non-residue.

Requirements:	No special requirements
Platforms:	Matlab
Keyword:	Column,  Consists,  Diagonal,  Elements,  N3d123,  Omitted,  Orthogonal
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