## CryptoDB

### Paper: almost enumeration of 8-variable bent functions

Authors: Qingshu Meng Huanguo Zhang Jingsong Cui Min Yang URL: http://eprint.iacr.org/2005/100 Search ePrint Search Google 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.
##### BibTeX
@misc{eprint-2005-12436,
title={almost enumeration of 8-variable bent functions},
booktitle={IACR Eprint archive},
keywords={foundations / Reed-Muller code, group action, bent functions},
url={http://eprint.iacr.org/2005/100},
note={ mqseagle@sohu.com 13540 received 3 Apr 2005, last revised 27 Jan 2007},
author={Qingshu Meng and Huanguo Zhang and Jingsong Cui and Min Yang},
year=2005
}