## IACR paper details

Title | FURTHER PROPERTIES OF SEVERAL CLASSES OF BOOLEAN FUNCTIONS WITH OPTIMUM ALGEBRAIC IMMUNITY |
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Booktitle | IACR Eprint archive |
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Pages | |
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Year | 2007 |
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URL | http://eprint.iacr.org/2007/370 |
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Author | Claude Carlet |
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Author | Xiangyong Zeng |
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Author | Chunlei Li |
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Author | Lei Hu |
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Abstract |
Thanks to a method proposed by Carlet, several classes of balanced
Boolean functions with optimum algebraic immunity are obtained. By
choosing suitable parameters, for even $n\geq 8$, the balanced
$n$-variable functions can have nonlinearity
$2^{n-1}-{n-1\choose\frac{n}{2}-1}+2{n-2\choose\frac{n}{2}-2}/(n-2)$,
and for odd $n$, the functions can have nonlinearity
$2^{n-1}-{n-1\choose\frac{n-1}{2}}+\Delta(n)$, where the function
$\Delta(n)$ is describled in Theorem 4.4. The algebraic
degree of some constructed functions is also discussed. |
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Search for the paper

@misc{eprint-2007-13650,
title={FURTHER PROPERTIES OF SEVERAL CLASSES OF BOOLEAN FUNCTIONS WITH OPTIMUM ALGEBRAIC IMMUNITY},
booktitle={IACR Eprint archive},
keywords={foundations / boolean functions},
url={http://eprint.iacr.org/2007/370},
note={ xzeng@hubu.edu.cn 13770 received 14 Sep 2007},
author={Claude Carlet and Xiangyong Zeng and Chunlei Li and Lei Hu},
year=2007
}

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