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Two binary sequence families with large merit factor
1.  Department of Mathematics, Simon Fraser University, 8888 University Drive, Burnaby, BC, Canada V5A 1S6, Canada 
2.  Department of Informatics, High Technology Center in Bergen, University of Bergen, Bergen 5020, Norway 
[1] 
Richard Hofer, Arne Winterhof. On the arithmetic autocorrelation of the Legendre sequence. Advances in Mathematics of Communications, 2017, 11 (1) : 237244. doi: 10.3934/amc.2017015 
[2] 
JiWoong Jang, YoungSik Kim, SangHyo Kim, DaeWoon Lim. New construction methods of quaternary periodic complementary sequence sets. Advances in Mathematics of Communications, 2010, 4 (1) : 6168. doi: 10.3934/amc.2010.4.61 
[3] 
KaiUwe Schmidt. The merit factor of binary arrays derived from the quadratic character. Advances in Mathematics of Communications, 2011, 5 (4) : 589607. doi: 10.3934/amc.2011.5.589 
[4] 
Limengnan Zhou, Daiyuan Peng, Hongyu Han, Hongbin Liang, Zheng Ma. Construction of optimal lowhitzone frequency hopping sequence sets under periodic partial Hamming correlation. Advances in Mathematics of Communications, 2018, 12 (1) : 6779. doi: 10.3934/amc.2018004 
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JiWoong Jang, YoungSik Kim, SangHyo Kim. New design of quaternary LCZ and ZCZ sequence set from binary LCZ and ZCZ sequence set. Advances in Mathematics of Communications, 2009, 3 (2) : 115124. doi: 10.3934/amc.2009.3.115 
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Zilong Wang, Guang Gong. Correlation of binary sequence families derived from the multiplicative characters of finite fields. Advances in Mathematics of Communications, 2013, 7 (4) : 475484. doi: 10.3934/amc.2013.7.475 
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Xiaohui Liu, Jinhua Wang, Dianhua Wu. Two new classes of binary sequence pairs with threelevel crosscorrelation. Advances in Mathematics of Communications, 2015, 9 (1) : 117128. doi: 10.3934/amc.2015.9.117 
[8] 
Yang Yang, Xiaohu Tang, Guang Gong. Even periodic and odd periodic complementary sequence pairs from generalized Boolean functions. Advances in Mathematics of Communications, 2013, 7 (2) : 113125. doi: 10.3934/amc.2013.7.113 
[9] 
Fanxin Zeng, Xiaoping Zeng, Zhenyu Zhang, Guixin Xuan. Quaternary periodic complementary/Zcomplementary sequence sets based on interleaving technique and Gray mapping. Advances in Mathematics of Communications, 2012, 6 (2) : 237247. doi: 10.3934/amc.2012.6.237 
[10] 
Yixiao Qiao, Xiaoyao Zhou. Zero sequence entropy and entropy dimension. Discrete & Continuous Dynamical Systems  A, 2017, 37 (1) : 435448. doi: 10.3934/dcds.2017018 
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Walter Briec, Bernardin Solonandrasana. Some remarks on a successive projection sequence. Journal of Industrial & Management Optimization, 2006, 2 (4) : 451466. doi: 10.3934/jimo.2006.2.451 
[12] 
XiaoHong Liu, Wei Wu. Coerciveness of some merit functions over symmetric cones. Journal of Industrial & Management Optimization, 2009, 5 (3) : 603613. doi: 10.3934/jimo.2009.5.603 
[13] 
Hua Liang, Jinquan Luo, Yuansheng Tang. On crosscorrelation of a binary $m$sequence of period $2^{2k}1$ and its decimated sequences by $(2^{lk}+1)/(2^l+1)$. Advances in Mathematics of Communications, 2017, 11 (4) : 693703. doi: 10.3934/amc.2017050 
[14] 
Matthew Macauley, Henning S. Mortveit. Update sequence stability in graph dynamical systems. Discrete & Continuous Dynamical Systems  S, 2011, 4 (6) : 15331541. doi: 10.3934/dcdss.2011.4.1533 
[15] 
Wenjun Xia, Jinzhi Lei. Formulation of the protein synthesis rate with sequence information. Mathematical Biosciences & Engineering, 2018, 15 (2) : 507522. doi: 10.3934/mbe.2018023 
[16] 
Wenbing Chen, Jinquan Luo, Yuansheng Tang, Quanquan Liu. Some new results on cross correlation of $p$ary $m$sequence and its decimated sequence. Advances in Mathematics of Communications, 2015, 9 (3) : 375390. doi: 10.3934/amc.2015.9.375 
[17] 
José S. Cánovas. Topological sequence entropy of $\omega$–limit sets of interval maps. Discrete & Continuous Dynamical Systems  A, 2001, 7 (4) : 781786. doi: 10.3934/dcds.2001.7.781 
[18] 
Aixian Zhang, Zhengchun Zhou, Keqin Feng. A lower bound on the average Hamming correlation of frequencyhopping sequence sets. Advances in Mathematics of Communications, 2015, 9 (1) : 5562. doi: 10.3934/amc.2015.9.55 
[19] 
Markus Dick, Martin Gugat, Günter Leugering. Classical solutions and feedback stabilization for the gas flow in a sequence of pipes. Networks & Heterogeneous Media, 2010, 5 (4) : 691709. doi: 10.3934/nhm.2010.5.691 
[20] 
Eric Benoît. Bifurcation delay  the case of the sequence: Stable focus  unstable focus  unstable node. Discrete & Continuous Dynamical Systems  S, 2009, 2 (4) : 911929. doi: 10.3934/dcdss.2009.2.911 
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