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A finiteness result for circulant core complex Hadamard matrices

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Abstract We show that for every prime number p there exist finitely many circulant core complex Hadamard matrices of size p + 1 . The proof uses a ‘derivative at… Click to show full abstract

Abstract We show that for every prime number p there exist finitely many circulant core complex Hadamard matrices of size p + 1 . The proof uses a ‘derivative at infinity’ argument to reduce the problem to Tao's uncertainty principle for cyclic groups of prime order (see [13] ).

Keywords: circulant core; core complex; hadamard matrices; complex hadamard

Journal Title: Linear Algebra and its Applications
Year Published: 2019

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