Welcome to the resource topic for 2005/100
Title:
almost enumeration of 8-variable bent functions
Authors: Qingshu Meng, Huanguo Zhang, Jingsong Cui, Min Yang
Abstract:Bent functions are important cryptographic Boolean functions. In order to enumerate eight-variable bent functions, we solve the following three key problems. Firstly, under the action of
AGL(7,2), we almost completely classify R(4,7)/R(2,7). Secondly,
we construct all seven-variable \emph{plateaued} functions from the orbits of R(4,7)/R(2,7). Thirdly, we present a fast algorithm to expand \emph{plateaued} function into bent functions. Based on the results above, it is feasible to enumerate eight-variable bent functions in practice.
ePrint: https://eprint.iacr.org/2005/100
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