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Further results on the nonlinearity of maximum-length NFSR feedbacks

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Abstract

Turan gave bounds on the number of maximum-length feedback functions with nonlinearity 2 and t for even t<2n−2 in the paper (Crypto. Commun. 4 (3-4), pp. 233-243 (2012)). In this correspondence, we give two further results. First, the exact number of maximum-length feedback functions with nonlinearity 2 is obtained. Second, an improved bound on the number of maximum-length feedback functions with nonlinearity t<2n−2 is given.

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References

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Authors and Affiliations

  1. State Key Laboratory of Information Security, Institute of Information Engineering, Chinese Academy of Sciences, Beijing, 100093, China

    Mingxing Wang, Yupeng Jiang & Dongdai Lin

Authors
  1. Mingxing Wang
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  2. Yupeng Jiang
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  3. Dongdai Lin
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Corresponding author

Correspondence to Mingxing Wang.

Additional information

This research is supported by a National Key Basic Research Project of China under Grant 2011CB302400, National Natural Science Foundation of China under Grant 61379139 and the “Strategic Priority Research Program” of the Chinese Academy of Sciences under Grant XDA06010701.

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Wang, M., Jiang, Y. & Lin, D. Further results on the nonlinearity of maximum-length NFSR feedbacks. Cryptogr. Commun. 8, 1–6 (2016). https://doi.org/10.1007/s12095-015-0133-x

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  • DOI: https://doi.org/10.1007/s12095-015-0133-x

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