scholarly journals The differential spectrum of a class of power functions over finite fields

2019 ◽  
Vol 0 (0) ◽  
pp. 0-0
Author(s):  
Lei Lei ◽  
◽  
Wenli Ren ◽  
Cuiling Fan ◽  
◽  
...  
Keyword(s):  
Finite Fields ◽  
Differential Spectrum ◽  
Power Functions

Power functions with low uniformity on odd characteristic finite fields

2010 ◽  
Vol 53 (8) ◽  
pp. 1931-1940 ◽  
Author(s):  
ZhengBang Zha ◽  
XueLi Wang
Keyword(s):  
Finite Fields ◽  
Power Functions

scholarly journals Commutative rings with homomorphic power functions

1992 ◽  
Vol 15 (1) ◽  
pp. 91-102
Author(s):  
David E. Dobbs ◽  
John O. Kiltinen ◽  
Bobby J. Orndorff
Keyword(s):  
Commutative Ring ◽  
Finite Fields ◽  
Structure Theorem ◽  
Commutative Rings ◽  
Prime Characteristic ◽  
Power Functions ◽  
Finite Case

A (commutative) ringR(with identity) is calledm-linear (for an integerm≥2) if(a+b)m=am+bmfor allaandbinR. Them-linear reduced rings are characterized, with special attention to the finite case. A structure theorem reduces the study ofm-linearity to the case of prime characteristic, for which the following result establishes an analogy with finite fields. For each primepand integerm≥2which is not a power ofp, there exists an integers≥msuch that, for each ringRof characteristicp,Rism-linear if and only ifrm=rpsfor eachrinR. Additional results and examples are given.

scholarly journals Differential spectrum of some power functions in odd prime characteristic

2013 ◽  
Vol 21 ◽  
pp. 11-29 ◽  
Author(s):  
Sung-Tai Choi ◽  
Seokbeom Hong ◽  
Jong-Seon No ◽  
Habong Chung
Keyword(s):  
Differential Spectrum ◽  
Prime Characteristic ◽  
Power Functions

Differential Spectrum of Kasami Power Permutations Over Odd Characteristic Finite Fields

2019 ◽  
Vol 65 (10) ◽  
pp. 6819-6826 ◽  
Author(s):  
Haode Yan ◽  
Zhengchun Zhou ◽  
Jian Weng ◽  
Jinming Wen ◽  
Tor Helleseth ◽  
...  
Keyword(s):  
Finite Fields ◽  
Differential Spectrum

Finite Fields

1996 ◽  
Author(s):  
Rudolf Lidl ◽  
Harald Niederreiter
Keyword(s):  
Finite Fields

Maximum Distance Separable Hankel Rhotrices over Finite Fields

2018 ◽  
Vol 43 (1-4) ◽  
pp. 13-45
Author(s):  
Prof. P. L. Sharma ◽  
◽  
Mr. Arun Kumar ◽  
Mrs. Shalini Gupta ◽  
◽  
...  
Keyword(s):  
Finite Fields ◽  
Maximum Distance ◽  
Maximum Distance Separable
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