On the asymptotic existence of partial complex Hadamard matrices and related combinatorial objects (Q1972906)
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scientific article; zbMATH DE number 1436243
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the asymptotic existence of partial complex Hadamard matrices and related combinatorial objects |
scientific article; zbMATH DE number 1436243 |
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On the asymptotic existence of partial complex Hadamard matrices and related combinatorial objects (English)
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28 May 2001
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By definition a partial complex Hadamard matrix is an \(m\times n\) matrix \(A\) with entries in \(\{1,-1,i,-i\}\) satisfying \(AA^*= nI_m\). The main result of the paper is a proof for the asymptotic existence of partial Hadamard matrices. The author uses an asymptotic form of the so-called Goldbach conjecture in the proof.
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orthogonal arrays
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Hadamard matrix
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