scholarly journals Counting Functions and Expected Values for the k-Error Linear Complexity

2002 ◽  
Vol 8 (2) ◽  
pp. 142-154 ◽  
Author(s):  
Wilfried Meidl ◽  
Harald Niederreiter
Keyword(s):  
Linear Complexity ◽  
Counting Functions ◽  
Expected Values ◽  
Error Linear Complexity

scholarly journals On $k$-error linear complexity of pseudorandom binary sequences derived from Euler quotients

2018 ◽  
Vol 12 (4) ◽  
pp. 805-816 ◽  
Author(s):  
Zhixiong Chen ◽  
◽  
Vladimir Edemskiy ◽  
Pinhui Ke ◽  
Chenhuang Wu ◽  
...  
Keyword(s):  
Linear Complexity ◽  
Binary Sequences ◽  
Error Linear Complexity

ON THE -ERROR LINEAR COMPLEXITY OF SEQUENCES FROM FUNCTION FIELDS

2020 ◽  
Vol 102 (2) ◽  
pp. 342-352
Author(s):  
YUHUI ZHOU ◽  
YUHUI HAN ◽  
YANG DING
Keyword(s):  
Lower Bound ◽  
Linear Complexity ◽  
Function Fields ◽  
Stream Ciphers ◽  
Security Measures ◽  
Periodic Sequences ◽  
Error Linear Complexity

The linear complexity and the error linear complexity are two important security measures for stream ciphers. We construct periodic sequences from function fields and show that the error linear complexity of these periodic sequences is large. We also give a lower bound for the error linear complexity of a class of nonperiodic sequences.

scholarly journals Linear Complexity of the Balanced Polynomial Quotients Sequences

2018 ◽  
Vol 228 ◽  
pp. 01014
Author(s):  
Chun-e Zhao ◽  
Tongjiang Yan ◽  
Qihua Niu
Keyword(s):  
Lower Bound ◽  
Communication Systems ◽  
Linear Complexity ◽  
Binary Sequences ◽  
The Past ◽  
Error Linear Complexity

Balanced binary sequences of large linear complexity have series applications in communication systems. In the past, although the sequences derived from polynomial quotients have large linear complexity, but they are not balanced. In this paper, we will construct new sequences which are not only with large linear complexity but also balanced. Meanwhile, this linear complexity reaches the known k-error linear complexity mentioned in [7], which means that the k-error linear complexity as a lower bound is tight.

On the k-error linear complexity of 2p2-periodic binary sequences

2020 ◽  
Vol 63 (9) ◽  
Author(s):  
Zhihua Niu ◽  
Can Yuan ◽  
Zhixiong Chen ◽  
Xiaoni Du ◽  
Tao Zhang
Keyword(s):  
Linear Complexity ◽  
Binary Sequences ◽  
Error Linear Complexity
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