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Construction of Boolean Functions with Optimal Algebraic Immunity

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Abstract

Boolean functions with good cryptographic properties act as important nonlinear components in symmetric cryptography which is often used to encrypt stored data for cloud computing. In this paper, we develop a new class of Boolean functions with optimal algebraic immunity by utilizing the Reed-Muller code. In addition, our new functions are balanced and have good nonlinearity.

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Correspondence to Qinglan Zhao .

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Liu, H., Zheng, D., Zhao, Q. (2017). Construction of Boolean Functions with Optimal Algebraic Immunity. In: Barolli, L., Xhafa, F., Yim, K. (eds) Advances on Broad-Band Wireless Computing, Communication and Applications. BWCCA 2016. Lecture Notes on Data Engineering and Communications Technologies, vol 2. Springer, Cham. https://doi.org/10.1007/978-3-319-49106-6_80

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  • DOI: https://doi.org/10.1007/978-3-319-49106-6_80

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-49105-9

  • Online ISBN: 978-3-319-49106-6

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