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New construction methods of quaternary periodic complementary sequence sets
1.  LG Electronics, Co., Ltd., Anyang, South Korea 
2.  Samsung Electronics co. Ltd., Yongin 
3.  School of Information and Communication Engineering, Sungkyunkwan University, Suwon 440746 
4.  Information and Communication Engineering, Dongguk University, Seoul 100715, South Korea 
[1] 
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 
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Zhen Li, Cuiling Fan, Wei Su, Yanfeng Qi. Aperiodic/periodic complementary sequence pairs over quaternions. Advances in Mathematics of Communications, 2021 doi: 10.3934/amc.2021063 
[3] 
Tinghua Hu, Yang Yang, Zhengchun Zhou. Golay complementary sets with large zero oddperiodic correlation zones. Advances in Mathematics of Communications, 2021, 15 (1) : 2333. doi: 10.3934/amc.2020040 
[4] 
Bingsheng Shen, Yang Yang, Ruibin Ren. Three constructions of Golay complementary array sets. Advances in Mathematics of Communications, 2022 doi: 10.3934/amc.2022019 
[5] 
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 
[6] 
TianXiao He, Peter J.S. Shiue, Zihan Nie, Minghao Chen. Recursive sequences and girardwaring identities with applications in sequence transformation. Electronic Research Archive, 2020, 28 (2) : 10491062. doi: 10.3934/era.2020057 
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Ferruh Özbudak, Eda Tekin. Correlation distribution of a sequence family generalizing some sequences of Trachtenberg. Advances in Mathematics of Communications, 2021, 15 (4) : 647662. doi: 10.3934/amc.2020087 
[8] 
Zhenyu Zhang, Lijia Ge, Fanxin Zeng, Guixin Xuan. Zero correlation zone sequence set with intergroup orthogonal and intersubgroup complementary properties. Advances in Mathematics of Communications, 2015, 9 (1) : 921. doi: 10.3934/amc.2015.9.9 
[9] 
Büşra Özden, Oǧuz Yayla. Partial direct product difference sets and almost quaternary sequences. Advances in Mathematics of Communications, 2021 doi: 10.3934/amc.2021010 
[10] 
Frank Fiedler. Small Golay sequences. Advances in Mathematics of Communications, 2013, 7 (4) : 379407. doi: 10.3934/amc.2013.7.379 
[11] 
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 
[12] 
Gaofei Wu, Yuqing Zhang, Xuefeng Liu. New complementary sets of length $2^m$ and size 4. Advances in Mathematics of Communications, 2016, 10 (4) : 825845. doi: 10.3934/amc.2016043 
[13] 
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 
[14] 
Nian Li, Xiaohu Tang, Tor Helleseth. A class of quaternary sequences with low correlation. Advances in Mathematics of Communications, 2015, 9 (2) : 199210. doi: 10.3934/amc.2015.9.199 
[15] 
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 
[16] 
José S. Cánovas. Topological sequence entropy of $\omega$–limit sets of interval maps. Discrete and Continuous Dynamical Systems, 2001, 7 (4) : 781786. doi: 10.3934/dcds.2001.7.781 
[17] 
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 
[18] 
Jingjun Bao. New families of strictly optimal frequency hopping sequence sets. Advances in Mathematics of Communications, 2018, 12 (2) : 387413. doi: 10.3934/amc.2018024 
[19] 
Xianhong Xie, Yi Ouyang, Honggang Hu, Ming Mao. Construction of three classes of strictly optimal frequencyhopping sequence sets. Advances in Mathematics of Communications, 2022 doi: 10.3934/amc.2022024 
[20] 
Mark Comerford. Nonautonomous Julia sets with measurable invariant sequences of line fields. Discrete and Continuous Dynamical Systems, 2013, 33 (2) : 629642. doi: 10.3934/dcds.2013.33.629 
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