International Association for Cryptologic Research

International Association
for Cryptologic Research

IACR News item: 21 June 2015

Bimal Mandal, Pantelimon Stanica, Sugata Gangopadhyay, Enes Pasalic
ePrint Report ePrint Report
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.

Expand

Additional news items may be found on the IACR news page.