Linear complexity of generalized cyclotomic sequences with period \(p^nq^m\)

DOI10.1007/978-3-031-22944-2_21OpenAlexW4315489979MaRDI QIDQ6169022

Chenhuang Wu, Vladimir Edemskiy

Publication date: 10 August 2023

Published in: Arithmetic of Finite Fields (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-031-22944-2_21

zbMATH Keywords

binary sequenceslinear complexitygeneralized cyclotomy

Mathematics Subject Classification ID

Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Shift register sequences and sequences over finite alphabets in information and communication theory (94A55) Pseudo-random numbers; Monte Carlo methods (11K45)

Cites Work

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• New generalized cyclotomy and its applications
• New generalized cyclotomic binary sequences of period \(p^2\)
• On the linear complexity and the autocorrelation of generalized cyclotomic binary sequences of length \(2p^m\)
• A further study of the linear complexity of new binary cyclotomic sequence of length \(p^r\)
• More cyclotomic constructions of optimal frequency-hopping sequences
• The linear complexity of generalized cyclotomic binary sequences of period \(p^n\)
• On the linear complexity of generalized cyclotomic sequences with the period \(p^m\)
• A generalization of the Hall's sextic residue sequences
• Optimal Frequency Hopping Sequences of Odd Length
• The Linear Complexity of Whiteman's Generalized Cyclotomic Sequences of Period $p^{m+1}q^{n+1}$
• Generalized cyclotomic codes of length p/sub 1//sup e(1)/...p/sub t//sup e(t)/
• A Unified Approach to Whiteman's and Ding-Helleseth's Generalized Cyclotomy Over Residue Class Rings
• A family of difference sets

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