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dc.contributor.authorStănică, Pantelimon
dc.contributor.authorMandal, Bimal
dc.contributor.authorGangopadhyay, Sugata
dc.contributor.authorPasalic, Enes
dc.dateJune 14, 2015
dc.date.accessioned2016-06-13T17:37:16Z
dc.date.available2016-06-13T17:37:16Z
dc.date.issued2015-06-14
dc.identifier.urihttp://hdl.handle.net/10945/48929
dc.description.abstractTwo (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 D0). In this article, we look in more de- tail 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 F2n. 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.en_US
dc.description.sponsorshipVSP award no. N62909-13-1-V105 (Department of the US Navy, ONR-Global)en_US
dc.format.extent20 p.en_US
dc.rightsThis publication is a work of the U.S. Government as defined in Title 17, United States Code, Section 101. Copyright protection is not available for this work in the United States.en_US
dc.titleAn analysis of the C class of bent functionsen_US
dc.contributor.corporateNaval Postgraduate School (U.S.)
dc.contributor.corporateNaval Postgraduate School (U.S.)en_US
dc.contributor.departmentApplied Mathematics
dc.subject.authorBoolean functionsen_US
dc.subject.authorbent functionsen_US
dc.subject.authorpermutation polynomialsen_US
dc.description.funderVSP award no. N62909-13-1-V105 (Department of the US Navy, ONR-Global)en_US


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