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Linear complexity of generalised cyclotomic quaternary sequences of length 2p m+1 q n+1

Linear complexity of generalised cyclotomic quaternary sequences of length 2p m+1 q n+1

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Sequences with high linear complexity play a fundamental part in cryptography. In this study, the authors construct general forms of Whiteman's generalised cyclotomic quaternary sequences with period 2p m+1 q n+1 of order two over 𝔽4 and give the linear complexity of the proposed sequences. The conclusions reveal that such sequences have good balance property and high linear complexity.

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