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New design of quaternary sequences - MaRDI portal

New design of quaternary sequences (Q1606068)

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scientific article; zbMATH DE number 1773417
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English
New design of quaternary sequences
scientific article; zbMATH DE number 1773417

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    New design of quaternary sequences (English)
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    29 July 2002
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    The author proposes a general construction based on the Gray map using a couple of binary words with particular weight properties. The author deduces a similar result for a couple of binary sequences with particular correlation properties. This is applied to some cyclic binary codes and periodic binary sequences in order to obtain new quaternary periodic sequences having good autocorrelation properties. With almost-perfect binary sequences, infinite families of almost-perfect quaternary sequences are constructed.
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    almost-perfect sequences
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    cyclic codes
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    Gray map
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    binary sequences
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    quaternary periodic sequences
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    autocorrelation
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