Presentation
Construction of highly non-linear cubic homogeneous Boolean functions on GF2n+l (2)
Faculty of Informatics - Papers (Archive)
RIS ID
9399
Publication Date
26-6-2003
Publication Details
This article was originally published as Construction of highly non-linear cubic homogeneous Boolean functions on GF2n+l (2), in Arabnia, HR, Mun, Y and Aissi, S (eds), Proceedings of the 2003 International Conference on Security and management (SAM'03), Las Vegas, 23-26 June 2003, 241-247.
Abstract
The work studies highly nonlinear Boolean functions in GF2n+1(2), i.e. for the dimensions where bent functions do not exist. We prove that for every n > 2 there exist homogeneous Boolean functions on GF(2)2n+1 with non-linearity greater than or equal to 22n — 2n and without linear structures.
Disciplines
Citation Information
Jing Wu, Tianbing Xia and Jennifer Seberry. "Construction of highly non-linear cubic homogeneous Boolean functions on GF2n+l (2)" (2003) Available at: http://works.bepress.com/jseberry/28/