Title :
Constructions of Maiorana-McFarland´s Bent Functions of Prescribed Degree
Author :
Zhang, Feng-rong ; Hu, Yu-Pu ; Ma, Hua ; Xie, Min
Author_Institution :
Key Lab. of Comput. network & Inf. security, Minist. of Educ. (Xidian Univ.), Xi´´an, China
Abstract :
A Boolean function with an even number n = 2k of variables is called Bent if it is maximally nonlinear. A technique on constructing Maiorana-McFarland´s Bent functions of arbitrary degree is described. Based on the properties of Maiorana-McFarland´s Bent functions, a Bent function with arbitrary degree can be constructed by changing the order of concatenating linear functions.
Keywords :
Boolean functions; cryptography; Boolean function; Maiorana-McFarland´s Bent function; arbitrary degree; concatenating linear function; stream cipher; Bent function; Boolean function; Stream cipher; algebraic degree;
Conference_Titel :
Computational Intelligence and Security (CIS), 2010 International Conference on
Conference_Location :
Nanning
Print_ISBN :
978-1-4244-9114-8
Electronic_ISBN :
978-0-7695-4297-3
DOI :
10.1109/CIS.2010.157
