Note on periodic complementary sets of binary sequences (Q1381618)
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scientific article; zbMATH DE number 1130527
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Note on periodic complementary sets of binary sequences |
scientific article; zbMATH DE number 1130527 |
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Note on periodic complementary sets of binary sequences (English)
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22 April 1998
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Let \(\{a_i\}\), \(1\leq i\leq p\), be a family of binary sequences of length \(n\). It is called a family of periodic complementary sequences (\(\text{PCS}_p^n\)) if the sum of their periodic auto-correlation functions is a delta function. Now the author constructs \(\text{PCS}_p^n\) by exhausitive computer search, for the following values of \(p\) and \(n\), via supplementary difference sets: \(\{2,34\}\), \(\{3,24\}\), \(\{3,28\}\), \(\{3,32\}\), \(\{5,20\}\), \(\{5,24\}\), \(\{5,28\}\), \(\{5,36\}\), \(\{6,14\}\), \(\{6,18\}\), \(\{6,22\}\), and \(\{6,30\}\).
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supplementary difference sets
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periodic complementary sequences
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