Welcome to the resource topic for 2015/588
Title:
An analysis of the C class of bent functions
Authors: Bimal Mandal, Pantelimon Stanica, Sugata Gangopadhyay, Enes Pasalic
Abstract:Two (so-called C, D) classes of permutation-based bent Boolean functions were introduced by Carlet two decades ago, but without specifying some explicit construction methods for their construction (apart from the subclass D_0). In this article, we look in more detail at the C class, and derive some existence and nonexistence results concerning the bent functions in the C class for many of the known classes of permutations over \mathbb F_{2^n}. Most importantly, the existence results induce generic methods of constructing bent functions in class C which possibly do not belong to the completed Maiorana-McFarland class. The question whether the specific permutations and related subspaces we identify in this article indeed give bent functions outside the completed Maiorana-McFarland class remains open.
ePrint: https://eprint.iacr.org/2015/588
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