Analysis of the Linear Complexity and the Autocorrelation of a Class of d-ary Generalized Cyclotomic Sequence

2013 ◽  
Vol 34 (12) ◽  
pp. 2881-2884
Author(s):  
Pin-hui Ke ◽  
Rui-fang Li ◽  
Sheng-yuan Zhang
Keyword(s):  
Linear Complexity ◽  
Generalized Cyclotomic Sequence

scholarly journals Linear Complexity of a New Class of Quaternary Generalized Cyclotomic Sequence with Period 2pm

Complexity ◽  
2020 ◽  
Vol 2020 ◽  
pp. 1-7
Author(s):  
Pinhui Ke ◽  
Yan Zhong ◽  
Shengyuan Zhang
Keyword(s):  
Finite Field ◽  
Linear Complexity ◽  
Generalized Cyclotomy ◽  
New Class ◽  
Generalized Cyclotomic Sequence ◽  
Cyclotomic Sequences

Sequences with high linear complexity property are of importance in applications. In this paper, based on the theory of generalized cyclotomy, new classes of quaternary generalized cyclotomic sequences with order 4 and period 2pm are constructed. In addition, we determine their linear complexities over finite field F4 and over ℤ4, respectively.

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