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单词 Paley's Theorem
释义

Paley's Theorem

Proved in 1933. If is an Odd Prime or and is any Positive Integer, then there is aHadamard Matrix of order


where is any Positive Integer such that . If is of this form, the matrix can be constructedwith a Paley Construction. If is divisible by 4 but not of the form (1), the Paley Class is undefined.However, Hadamard Matrices have been shown to exist for all for .

See also Hadamard Matrix, Paley Class, Paley Construction
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更新时间:2024/11/14 18:33:57