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The asymptotic behavior of Nadic complexity
1.  University of Kentucky, 779A F. Paul Anderson Tower, Lexington, KY 405060046, United States 
[1] 
Fuqing Sun, Qin Yue, Xia Li. on the 2adic complexity of cyclotomic binary sequences of order three. Advances in Mathematics of Communications, 2022 doi: 10.3934/amc.2022049 
[2] 
Vladimir Edemskiy, Sofia Koltsova. Estimate of 4adic complexity of unified quaternary sequences of length $ 2p $. Advances in Mathematics of Communications, 2022 doi: 10.3934/amc.2022048 
[3] 
James Kingsbery, Alex Levin, Anatoly Preygel, Cesar E. Silva. Dynamics of the $p$adic shift and applications. Discrete and Continuous Dynamical Systems, 2011, 30 (1) : 209218. doi: 10.3934/dcds.2011.30.209 
[4] 
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 
[5] 
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 
[6] 
Ravi Anand, Dibyendu Roy, Santanu Sarkar. Some results on lightweight stream ciphers Fountain v1 & Lizard. Advances in Mathematics of Communications, 2020 doi: 10.3934/amc.2020128 
[7] 
Claude Carlet, Khoongming Khoo, ChuWee Lim, ChuanWen Loe. On an improved correlation analysis of stream ciphers using multioutput Boolean functions and the related generalized notion of nonlinearity. Advances in Mathematics of Communications, 2008, 2 (2) : 201221. doi: 10.3934/amc.2008.2.201 
[8] 
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 
[9] 
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 
[10] 
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 
[11] 
Valentin Afraimovich, Lev Glebsky. Measures related to $(\epsilon,n)$complexity functions. Discrete and Continuous Dynamical Systems, 2008, 22 (1&2) : 2334. doi: 10.3934/dcds.2008.22.23 
[12] 
Prof. Dr.rer.nat Widodo. Topological entropy of shift function on the sequences space induced by expanding piecewise linear transformations. Discrete and Continuous Dynamical Systems, 2002, 8 (1) : 191208. doi: 10.3934/dcds.2002.8.191 
[13] 
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 
[14] 
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 
[15] 
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 
[16] 
Sarah Bailey Frick. Limited scope adic transformations. Discrete and Continuous Dynamical Systems  S, 2009, 2 (2) : 269285. doi: 10.3934/dcdss.2009.2.269 
[17] 
Marco Calderini. A note on some algebraic trapdoors for block ciphers. Advances in Mathematics of Communications, 2018, 12 (3) : 515524. doi: 10.3934/amc.2018030 
[18] 
Riccardo Aragona, Alessio Meneghetti. Typepreserving matrices and security of block ciphers. Advances in Mathematics of Communications, 2019, 13 (2) : 235251. doi: 10.3934/amc.2019016 
[19] 
Van Cyr, John Franks, Bryna Kra, Samuel Petite. Distortion and the automorphism group of a shift. Journal of Modern Dynamics, 2018, 13: 147161. doi: 10.3934/jmd.2018015 
[20] 
Ronnie Pavlov, Pascal Vanier. The relationship between word complexity and computational complexity in subshifts. Discrete and Continuous Dynamical Systems, 2021, 41 (4) : 16271648. doi: 10.3934/dcds.2020334 
2021 Impact Factor: 1.015
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