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On the affine equivalence relation between two classes of Boolean functions with optimal algebraic immunity

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Abstract

Recently, two classes of Boolean functions with optimal algebraic immunity have been proposed by Carlet et al. and Wang et al., respectively. Although it appears that their methods are very different, it is proved in this paper that the two classes of Boolean functions are in fact affine equivalent. Moreover, the number of affine equivalence classes of these functions is also studied.

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Authors and Affiliations

  1. Department of Applied Mathematics, Zhengzhou Information Science and Technology Institute, P.O. Box 1001-745, Zhengzhou, 450002, China

    Huajin Chen, Tian Tian & Wenfeng Qi

Authors
  1. Huajin Chen
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  2. Tian Tian
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  3. Wenfeng Qi
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Correspondence to Huajin Chen.

Additional information

Communicated by J. Wolfmann.

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Chen, H., Tian, T. & Qi, W. On the affine equivalence relation between two classes of Boolean functions with optimal algebraic immunity. Des. Codes Cryptogr. 67, 175–185 (2013). https://doi.org/10.1007/s10623-011-9596-8

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  • DOI: https://doi.org/10.1007/s10623-011-9596-8

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