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Linear complexity of a new class of quaternary generalized cyclotomic sequence with period \(2 p^m\) - MaRDI portal

Linear complexity of a new class of quaternary generalized cyclotomic sequence with period \(2 p^m\) (Q2173751)

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Linear complexity of a new class of quaternary generalized cyclotomic sequence with period \(2 p^m\)
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    Linear complexity of a new class of quaternary generalized cyclotomic sequence with period \(2 p^m\) (English)
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    17 April 2020
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    Summary: Sequences with high linear complexity property are of importance in applications. In this paper, based on the theory of generalized cyclotomy, new classes of quaternary generalized cyclotomic sequences with order 4 and period \(2 p^m\) are constructed. In addition, we determine their linear complexities over finite field \(\mathbb{F}_4\) and over \(\mathbb{Z}_4\), respectively.
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