Trace representation of the binary pq2-periodic sequences derived from Euler quotients

2021 ◽  
Vol 13 (2) ◽  
pp. 343-359
Author(s):  
Jingwei Zhang ◽  
Chuangqiang Hu ◽  
Xiang Fan ◽  
Chang-An Zhao
Keyword(s):  
Periodic Sequences ◽  
Trace Representation

A Simpler Trace Representation of Legendre Sequences

2015 ◽  
Vol E98.A (4) ◽  
pp. 1026-1031 ◽  
Author(s):  
Minglong QI ◽  
Shengwu XIONG ◽  
Jingling YUAN ◽  
Wenbi RAO ◽  
Luo ZHONG
Keyword(s):  
Trace Representation

scholarly journals Classes of periodic sequences

1958 ◽  
Vol 2 (2) ◽  
pp. 285-302 ◽  
Author(s):  
N. J. Fine
Keyword(s):  
Periodic Sequences

A new class of quaternary generalized cyclotomic sequences of order 2d and length 2pm with high linear complexity

2018 ◽  
Vol 16 (01) ◽  
pp. 1850006 ◽  
Author(s):  
Longfei Liu ◽  
Xiaoyuan Yang ◽  
Bin Wei ◽  
Liqiang Wu
Keyword(s):  
Finite Fields ◽  
Linear Complexity ◽  
Periodic Sequences ◽  
New Class ◽  
New Family ◽  
Generalized Cyclotomic Classes ◽  
Cyclotomic Sequences

Periodic sequences over finite fields, constructed by classical cyclotomic classes and generalized cyclotomic classes, have good pseudo-random properties. The linear complexity of a period sequence plays a fundamental role in the randomness of sequences. In this paper, we construct a new family of quaternary generalized cyclotomic sequences with order [Formula: see text] and length [Formula: see text], which generalize the sequences constructed by Ke et al. in 2012. In addition, we determine its linear complexity using cyclotomic theory. The conclusions reveal that these sequences have high linear complexity, which means they can resist linear attacks.

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