On algebraic immunity of trace inverse functions on finite fields of characteristic two

2016 ◽  
Vol 29 (1) ◽  
pp. 272-288 ◽  
Author(s):  
Xiutao Feng ◽  
Guang Gong
Keyword(s):  
Finite Fields ◽  
Algebraic Immunity ◽  
Characteristic Two ◽  
Inverse Functions

Triple-Cycle Permutations Over Finite Fields of Characteristic Two

2019 ◽  
Vol 30 (02) ◽  
pp. 275-292
Author(s):  
Xianping Liu ◽  
Yuan Chen ◽  
Yunge Xu ◽  
Zhimin Sun
Keyword(s):  
Finite Fields ◽  
Characteristic Two

Triple-cycle permutations over finite fields of characteristic two are studied, and some classes of triple-cycle permutations are proposed in this paper. In addition, new triple-cycle permutations can be constructed by switching construction from known ones.

Computing Logarithms in Finite Fields of Characteristic Two

1984 ◽  
Vol 5 (2) ◽  
pp. 276-285 ◽  
Author(s):  
I. F. Blake ◽  
R. Fuji-Hara ◽  
R. C. Mullin ◽  
S. A. Vanstone
Keyword(s):  
Finite Fields ◽  
Characteristic Two

Low Complexity Normal Elements over Finite Fields of Characteristic Two

2008 ◽  
Vol 57 (7) ◽  
pp. 990-1001 ◽  
Author(s):  
Ariane M. Masuda ◽  
Lucia Moura ◽  
Daniel Panario ◽  
David Thomson
Keyword(s):  
Finite Fields ◽  
Low Complexity ◽  
Characteristic Two
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