Constructing Boolean Functions by Modifying Maiorana-McFarland's Superclass Functions(Symmetric Key Cryptography)(<Special Section>Cryptography and Information Security)
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概要
- 論文の詳細を見る
In this study, we construct balanced Boolean functions with a high nonlinearity and an optimum algebraic degree for both odd and even dimensions. Our approach is based on modifying functions from the Maiorana-McFarland's superclass, which has been introduced by Carlet. A drawback of Maiorana-McFarland's function is that their restrictions obtained by fixing some variables in their input are affine. Affine functions are cryptographically weak functions, so there is a risk that this property will be exploited in attacks. Due to the contribution of Carlet, our constructions do not have the potential weakness that is shared by the Maiorana-McFarland construction or its modifications.
- 社団法人電子情報通信学会の論文
- 2005-01-01
著者
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ZENG Xiangyong
Faculty of Mathematics and Computer Science, Hubei University
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HU Lei
State Key Laboratory of Information Security (Graduate School of Chinese Academy of Sciences)
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Zeng Xiangyong
Faculty Of Mathematics And Computer Science Hubei University
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Zeng X
Faculty Of Mathematics And Computer Science Hubei University
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Hu Lei
State Key Lab. Of Information Security Graduate School Of Chinese Acad. Of Sciences
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