Matrices

Paley construction

In mathematics, the Paley construction is a method for constructing Hadamard matrices using finite fields. The construction was described in 1933 by the English mathematician Raymond Paley. The Paley construction uses quadratic residues in a finite field GF(q) where q is a power of an odd prime number. There are two versions of the construction depending on whether q is congruent to 1 or 3 (mod 4). (Wikipedia).

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Related pages

Symmetric matrix | Field extension | Prime number | Kronecker product | Irreducible polynomial | Orthogonal matrix | Legendre symbol | Hadamard conjecture | Mathematics | Finite field | Raymond Paley | Skew-symmetric matrix | Hadamard matrix | Quadratic residue | Paley graph | Solomon W. Golomb | Circulant matrix