A new class of quaternary generalized cyclotomic sequences of order 2d and length 2pm with high linear complexity
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Publication:4603600
DOI10.1142/S0219691318500066zbMath1440.11229OpenAlexW2766438363MaRDI QIDQ4603600
Longfei Liu, Li-qiang Wu, Bin Wei, Xiao-Yuan Yang
Publication date: 16 February 2018
Published in: International Journal of Wavelets, Multiresolution and Information Processing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s0219691318500066
Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Cryptography (94A60) Applications to coding theory and cryptography of arithmetic geometry (14G50)
Related Items (3)
The estimate of the linear complexity of generalized cyclotomic binary and quaternary sequences with periods \(p^n\) and \(2p^n\) ⋮ Linear complexity of a new class of quaternary generalized cyclotomic sequence with period \(2 p^m\) ⋮ Autocorrelation values of quaternary cyclotomic sequence of length 2pm
Cites Work
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- Whiteman's generalized cyclotomic numbers with respect to \(t\) primes
- New classes of quaternary cyclotomic sequence of length \(2p^m\) with high linear complexity
- Linear complexity of binary generalized cyclotomic sequences over \(\mathrm{GF}(q)\)
- Linear complexity and correlation of a class of binary cyclotomic sequences
- Trace representation of some generalized cyclotomic sequences of length \(pq\)
- Linear complexity of binary Whiteman generalized cyclotomic sequences of order \(2^k\)
- Linear complexity of generalized cyclotomic binary sequences of order 2
- Linear complexity of quaternary sequences of length \(pq\) with low autocorrelation
- Cyclic codes from cyclotomic sequences of order four
- The linear complexity of new generalized cyclotomic binary sequences of order four
- Constructions of Optimal 2-D Optical Orthogonal Codes via Generalized Cyclotomic Classes
- A New Construction of Frequency-Hopping Sequences With Optimal Partial Hamming Correlation
- Optimal Frequency Hopping Sequences of Odd Length
- On the Weierstrass-Mandelbrot fractal function
- Cyclic Codes From the Two-Prime Sequences
- 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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