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Generalized Maiorana-McFarland class and normality of p-ary bent functions

Çesmelioğlu, Ayça and Meidl, Wilfried and Pott, Alexander (2013) Generalized Maiorana-McFarland class and normality of p-ary bent functions. Finite Fields and Their Applications, 24 . pp. 105-117. ISSN 1071-5797

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Official URL: http://dx.doi.org/10.1016/j.ffa.2013.06.001

Abstract

A class of bent functions which contains bent functions with various properties like regular, weakly regular and not weakly regular bent functions in even and in odd dimension, is analyzed. It is shown that this class includes the Maiorana-McFarland class as a special case. Known classes and examples of bent functions in odd characteristic are examined for their relation to this class. In the second part, normality for bent functions in odd characteristic is analyzed. It turns out that differently to Boolean bent functions, many - also quadratic - bent functions in odd characteristic and even dimension are not normal. It is shown that regular Coulter-Matthews bent functions are normal.

Item Type:Article
Uncontrolled Keywords:Bent functions; Maiorana-McFarland class; Normality; Coulter-Matthews bent functions
Subjects:UNSPECIFIED
ID Code:21888
Deposited By:Wilfried Meidl
Deposited On:30 Oct 2013 16:37
Last Modified:30 Oct 2013 16:37

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