CryptoDB
Cryptographer's Toolkit for Construction of $8$-Bit Bent Functions
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Abstract: | Boolean functions form basic building blocks in various cryptographic algorithms. They are used for instance as filters in stream ciphers. Maximally non-linear (necessarily non-balanced) Boolean functions with an even number of variables are called bent functions. Bent functions can be modified to get balanced highly non-linear Boolean functions. Recently the first author has demonstrated how bent functions can be studied in a recursive framework of certain integer-valued functions. Based on this new approach we describe the practical systematic construction of $8$-bit bent functions. We outline also how to compute the number of all $8$-bit bent functions. |
BibTeX
@misc{eprint-2005-12426, title={Cryptographer's Toolkit for Construction of $8$-Bit Bent Functions}, booktitle={IACR Eprint archive}, keywords={bent functions, highly nonlinear Boolean functions}, url={http://eprint.iacr.org/2005/089}, note={ Hans.Dobbertin@ruhr-uni-bochum.de 12863 received 21 Mar 2005}, author={Hans Dobbertin and Gregor Leander}, year=2005 }