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On the generalized joint linear complexity profile of a class of nonlinear pseudorandom multisequences
1.  Institut für Mathematik, Universität Zürich, Winterthurerstrasse 190 CH8057, Zürich, Switzerland 
2.  Department of Computing, Macquarie University, NSW 2109, Australia 
3.  Johann Radon Institute for Computational and Applied Mathematics, Austrian Academy of Sciences, Altenberger Straße 69, A4040 Linz, Austria 
[1] 
Zhixiong Chen, Vladimir Edemskiy, Pinhui Ke, Chenhuang Wu. On $k$error linear complexity of pseudorandom binary sequences derived from Euler quotients. Advances in Mathematics of Communications, 2018, 12 (4) : 805816. doi: 10.3934/amc.2018047 
[2] 
Karthik Elamvazhuthi, Piyush Grover. Optimal transport over nonlinear systems via infinitesimal generators on graphs. Journal of Computational Dynamics, 2018, 5 (1&2) : 132. doi: 10.3934/jcd.2018001 
[3] 
Jiarong Peng, Xiangyong Zeng, Zhimin Sun. Finite length sequences with large nonlinear complexity. Advances in Mathematics of Communications, 2018, 12 (1) : 215230. doi: 10.3934/amc.2018015 
[4] 
Marcela Mejía, J. Urías. An asymptotically perfect pseudorandom generator. Discrete and Continuous Dynamical Systems, 2001, 7 (1) : 115126. doi: 10.3934/dcds.2001.7.115 
[5] 
R. P. Gupta, Peeyush Chandra, Malay Banerjee. Dynamical complexity of a preypredator model with nonlinear predator harvesting. Discrete and Continuous Dynamical Systems  B, 2015, 20 (2) : 423443. doi: 10.3934/dcdsb.2015.20.423 
[6] 
Liqin Hu, Qin Yue, Fengmei Liu. Linear complexity of cyclotomic sequences of order six and BCH codes over GF(3). Advances in Mathematics of Communications, 2014, 8 (3) : 297312. doi: 10.3934/amc.2014.8.297 
[7] 
Jianqin Zhou, Wanquan Liu, Xifeng Wang. Structure analysis on the kerror linear complexity for 2^{n}periodic binary sequences. Journal of Industrial and Management Optimization, 2017, 13 (4) : 17431757. doi: 10.3934/jimo.2017016 
[8] 
Siqi Li, Weiyi Qian. Analysis of complexity of primaldual interiorpoint algorithms based on a new kernel function for linear optimization. Numerical Algebra, Control and Optimization, 2015, 5 (1) : 3746. doi: 10.3934/naco.2015.5.37 
[9] 
Lin Yi, Xiangyong Zeng, Zhimin Sun, Shasha Zhang. On the linear complexity and autocorrelation of generalized cyclotomic binary sequences with period $ 4p^n $. Advances in Mathematics of Communications, 2021 doi: 10.3934/amc.2021019 
[10] 
Ayache Benhadid, Fateh Merahi. Complexity analysis of an interiorpoint algorithm for linear optimization based on a new parametric kernel function with a double barrier term. Numerical Algebra, Control and Optimization, 2022 doi: 10.3934/naco.2022003 
[11] 
SongMei Huan, XiaoSong Yang. On the number of limit cycles in general planar piecewise linear systems. Discrete and Continuous Dynamical Systems, 2012, 32 (6) : 21472164. doi: 10.3934/dcds.2012.32.2147 
[12] 
Harald Fripertinger. The number of invariant subspaces under a linear operator on finite vector spaces. Advances in Mathematics of Communications, 2011, 5 (2) : 407416. doi: 10.3934/amc.2011.5.407 
[13] 
Paolo Gidoni, Alessandro Margheri. Lower bound on the number of periodic solutions for asymptotically linear planar Hamiltonian systems. Discrete and Continuous Dynamical Systems, 2019, 39 (1) : 585606. doi: 10.3934/dcds.2019024 
[14] 
Xiaolei Zhang, Yanqin Xiong, Yi Zhang. The number of limit cycles by perturbing a piecewise linear system with three zones. Communications on Pure and Applied Analysis, 2022, 21 (5) : 18331855. doi: 10.3934/cpaa.2022049 
[15] 
Stephen Doty and Anthony Giaquinto. Generators and relations for Schur algebras. Electronic Research Announcements, 2001, 7: 5462. 
[16] 
Wenxian Shen. Global attractor and rotation number of a class of nonlinear noisy oscillators. Discrete and Continuous Dynamical Systems, 2007, 18 (2&3) : 597611. doi: 10.3934/dcds.2007.18.597 
[17] 
Jianqin Zhou, Wanquan Liu, Xifeng Wang. Complete characterization of the first descent point distribution for the kerror linear complexity of 2^{n}periodic binary sequences. Advances in Mathematics of Communications, 2017, 11 (3) : 429444. doi: 10.3934/amc.2017036 
[18] 
Jianqin Zhou, Wanquan Liu, Xifeng Wang, Guanglu Zhou. On the $ k $error linear complexity for $ p^n $periodic binary sequences via hypercube theory. Mathematical Foundations of Computing, 2019, 2 (4) : 279297. doi: 10.3934/mfc.2019018 
[19] 
Maria J. Esteban, Eric Séré. An overview on linear and nonlinear Dirac equations. Discrete and Continuous Dynamical Systems, 2002, 8 (2) : 381397. doi: 10.3934/dcds.2002.8.381 
[20] 
Lin Yi, Xiangyong Zeng, Zhimin Sun. On finite length nonbinary sequences with large nonlinear complexity over the residue ring $ \mathbb{Z}_{m} $. Advances in Mathematics of Communications, 2021, 15 (4) : 701720. doi: 10.3934/amc.2020091 
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