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Paper: Cryptographer's Toolkit for Construction of $8$-Bit Bent Functions

Authors:
Hans Dobbertin
Gregor Leander
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URL: http://eprint.iacr.org/2005/089
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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
}