Linear Complexity of Binary Whiteman Generalized Cyclotomic Sequences of Order 4
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作者:
Li, Xiaoping
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机构:
Xidian Univ, State Key Lab ISN, Xian 710071, Shanxi, Peoples R China
China Univ Petr, Coll Sci, Qingdao 266580, Shandong, Peoples R ChinaXidian Univ, State Key Lab ISN, Xian 710071, Shanxi, Peoples R China
Li, Xiaoping
[1
,2
]
Ma, Wenping
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机构:
Xidian Univ, State Key Lab ISN, Xian 710071, Shanxi, Peoples R ChinaXidian Univ, State Key Lab ISN, Xian 710071, Shanxi, Peoples R China
Ma, Wenping
[1
]
Yan, Tongjiang
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机构:
China Univ Petr, Coll Sci, Qingdao 266580, Shandong, Peoples R ChinaXidian Univ, State Key Lab ISN, Xian 710071, Shanxi, Peoples R China
Yan, Tongjiang
[2
]
Zhao, Xubo
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机构:
Xidian Univ, State Key Lab ISN, Xian 710071, Shanxi, Peoples R China
China Univ Petr, Coll Sci, Qingdao 266580, Shandong, Peoples R ChinaXidian Univ, State Key Lab ISN, Xian 710071, Shanxi, Peoples R China
Zhao, Xubo
[1
,2
]
机构:
[1] Xidian Univ, State Key Lab ISN, Xian 710071, Shanxi, Peoples R China
[2] China Univ Petr, Coll Sci, Qingdao 266580, Shandong, Peoples R China
generalized cyclotomic sequences;
linear complexity;
cryptography;
minimal polynomial;
LENGTH PQ;
D O I:
10.1587/transfun.E96.A.363
中图分类号:
TP3 [计算技术、计算机技术];
学科分类号:
0812 ;
摘要:
In this letter we propose a new Whiteman generalized cyclotomic sequence of order 4. Meanwhile, we determine its linear complexity and minimal polynomial. The results show that this sequence possesses both high linear complexity and optimal balance on 1 s and 0 s, which may be attractive for cryptographic applications.
机构:
China Univ Petr, Coll Math & Computat Sci, Dongying 257061, Peoples R China
Xidian Univ, ISN Natl Key Lab, Xian 710071, Peoples R ChinaChina Univ Petr, Coll Math & Computat Sci, Dongying 257061, Peoples R China
Yan, Tongjiang
Du, Xiaoni
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机构:
Xidian Univ, ISN Natl Key Lab, Xian 710071, Peoples R China
NW Normal Univ, Coll Math & Informat Technol, Lanzhou 730070, Peoples R ChinaChina Univ Petr, Coll Math & Computat Sci, Dongying 257061, Peoples R China
Du, Xiaoni
Xiao, Guozhen
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机构:
Xidian Univ, ISN Natl Key Lab, Xian 710071, Peoples R ChinaChina Univ Petr, Coll Math & Computat Sci, Dongying 257061, Peoples R China
Xiao, Guozhen
Huang, Xiaolong
论文数: 0引用数: 0
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机构:
Zhongyuan Petrochem Co Ltd, Recovey Team 1, Sinopec 457000, Peoples R ChinaChina Univ Petr, Coll Math & Computat Sci, Dongying 257061, Peoples R China
机构:
China Univ Petr, Coll Math & Computat Sci, Dongying 257061, Peoples R China
Xidian Univ, ISN Natl Key Lab, Xian 710071, Peoples R ChinaChina Univ Petr, Coll Math & Computat Sci, Dongying 257061, Peoples R China
Yan, Tongjiang
Hong, Li
论文数: 0引用数: 0
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机构:
China Univ Petr, Coll Comp & Commun Engn, Dongying 257061, Peoples R ChinaChina Univ Petr, Coll Math & Computat Sci, Dongying 257061, Peoples R China
Hong, Li
Xiao, Guozhen
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h-index: 0
机构:
Xidian Univ, ISN Natl Key Lab, Xian 710071, Peoples R ChinaChina Univ Petr, Coll Math & Computat Sci, Dongying 257061, Peoples R China
机构:
China Univ Petr Qingdao, Coll Sci, Qingdao 266580, Shandong, Peoples R ChinaChina Univ Petr Qingdao, Coll Sci, Qingdao 266580, Shandong, Peoples R China
Sun, Yuhua
Wang, Qiuyan
论文数: 0引用数: 0
h-index: 0
机构:
Tiangong Univ, Sch Comp Sci & Technol, Tianjin 300387, Peoples R China
Putian Univ, Prov Key Lab Appl Math, Putian, Fujian, Peoples R ChinaChina Univ Petr Qingdao, Coll Sci, Qingdao 266580, Shandong, Peoples R China
Wang, Qiuyan
Yan, Yang
论文数: 0引用数: 0
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机构:
Tianjin Univ Technol & Educ, Sch Informat Technol & Engn, Tianjin 300222, Peoples R ChinaChina Univ Petr Qingdao, Coll Sci, Qingdao 266580, Shandong, Peoples R China
Yan, Yang
Li, Fei
论文数: 0引用数: 0
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机构:China Univ Petr Qingdao, Coll Sci, Qingdao 266580, Shandong, Peoples R China
Li, Fei
Yan, Tongjiang
论文数: 0引用数: 0
h-index: 0
机构:
China Univ Petr Qingdao, Coll Sci, Qingdao 266580, Shandong, Peoples R ChinaChina Univ Petr Qingdao, Coll Sci, Qingdao 266580, Shandong, Peoples R China
Yan, Tongjiang
Li, Hui
论文数: 0引用数: 0
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机构:
Xidian Univ, State Key Lab Integrated Serv Networks, Sch Cyber Engn, Xian 710071, Peoples R ChinaChina Univ Petr Qingdao, Coll Sci, Qingdao 266580, Shandong, Peoples R China
机构:
Inst Informat Engn, State Key Lab Informat Secur, Beijing, Peoples R ChinaInst Informat Engn, State Key Lab Informat Secur, Beijing, Peoples R China
机构:
Key Laboratory of Network & Information Security of APF,Engineering College of APFKey Laboratory of Network & Information Security of APF,Engineering College of APF
Longfei Liu
Xiaoyuan Yang
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机构:
Key Laboratory of Network & Information Security of APF,Engineering College of APFKey Laboratory of Network & Information Security of APF,Engineering College of APF
Xiaoyuan Yang
Xiaoni Du
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机构:
College of Mathematics and Statistics,Northwest Normal UniversityKey Laboratory of Network & Information Security of APF,Engineering College of APF
Xiaoni Du
Bin Wei
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机构:
Key Laboratory of Network & Information Security of APF,Engineering College of APFKey Laboratory of Network & Information Security of APF,Engineering College of APF
机构:
Hubei Univ, Hubei Key Lab Appl Math, Fac Math & Stat, Wuhan 430062, Peoples R ChinaHubei Univ, Hubei Key Lab Appl Math, Fac Math & Stat, Wuhan 430062, Peoples R China
Yi, Lin
Zeng, Xiangyong
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机构:
Hubei Univ, Hubei Key Lab Appl Math, Fac Math & Stat, Wuhan 430062, Peoples R ChinaHubei Univ, Hubei Key Lab Appl Math, Fac Math & Stat, Wuhan 430062, Peoples R China
Zeng, Xiangyong
Sun, Zhimin
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机构:
Hubei Univ, Hubei Key Lab Appl Math, Fac Math & Stat, Wuhan 430062, Peoples R ChinaHubei Univ, Hubei Key Lab Appl Math, Fac Math & Stat, Wuhan 430062, Peoples R China
Sun, Zhimin
Zhang, Shasha
论文数: 0引用数: 0
h-index: 0
机构:
Hubei Univ, Hubei Key Lab Appl Math, Fac Math & Stat, Wuhan 430062, Peoples R ChinaHubei Univ, Hubei Key Lab Appl Math, Fac Math & Stat, Wuhan 430062, Peoples R China