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On the construction of multi-output Boolean functions with optimal algebraic immunity

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Abstract

In this paper, we show a construction of multi-output Boolean functions with optimal algebraic immunity. And, the relationship between the algebraic immunity of a multi-output Boolean function and those of its component functions is studied. We show that all the component functions, together with their nonzero linear combination, of the multi-output Boolean functions achieved by this construction have optimal algebraic immunity simultaneously.

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Authors and Affiliations

  1. School of Science, Beijing University of Posts and Telecommunications, Beijing, 100876, China

    Jie Zhang & ShouChao Song

  2. State Key Laboratory of Networking and Switching Technology, Beijing University of Posts and Telecommunications, Beijing, 100876, China

    Jie Zhang, Jiao Du & QiaoYan Wen

  3. Department of Mathematics, Xinxiang University, Xinxiang, 453003, China

    Jiao Du

Authors
  1. Jie Zhang
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  2. ShouChao Song
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  3. Jiao Du
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  4. QiaoYan Wen
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Correspondence to Jie Zhang.

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Zhang, J., Song, S., Du, J. et al. On the construction of multi-output Boolean functions with optimal algebraic immunity. Sci. China Inf. Sci. 55, 1617–1623 (2012). https://doi.org/10.1007/s11432-012-4597-4

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  • DOI: https://doi.org/10.1007/s11432-012-4597-4

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