Duality for digital nets and its applications (Q2717594)
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scientific article; zbMATH DE number 1605192
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Duality for digital nets and its applications |
scientific article; zbMATH DE number 1605192 |
Statements
Duality for digital nets and its applications (English)
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17 June 2001
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\((t,m,s)\)-nets
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low-discrepancy point sets
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\(s\)-dimensional unit cube
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digital nets
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linear codes
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duality theory
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The theory of \((t,m,s)\)-nets provides powerful tools for the construction of low-discrepancy point sets in the \(s\)-dimensional unit cube. The authors focus on the analogy between digital nets and linear codes. They show that the concept of duality for linear codes can be applied to digital nets leading to a new approach to various issues concerning nets. In particular, duality theory is applied to the determination of the quality parameter \(t\) and to the analysis of the distribution of the points of digital nets in small intervals. Furthermore, some new construction principles for digital nets are discussed.
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