Crosscorrelation of M-sequences and GMW-sequences with the same primitive polynomial (Q1089341)
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scientific article; zbMATH DE number 4004196
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Crosscorrelation of M-sequences and GMW-sequences with the same primitive polynomial |
scientific article; zbMATH DE number 4004196 |
Statements
Crosscorrelation of M-sequences and GMW-sequences with the same primitive polynomial (English)
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1985
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The periodic crosscorrelation function of an M-sequence and a GMW- sequence that have been constructed from the same primitive polynomial is calculated in terms of the periodic crosscorrelation function of two smaller M-sequences. Along the way, a rather nice property satisfied by a collection of differences arising from the trace function \(Tr^ n_ m:\) \(GF(2^ n)\to GF(2^ m)\) is described and a connection to sonar sequences is made.
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shift sequence
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periodic crosscorrelation function
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M-sequence
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GMW- sequence
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sonar sequences
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