Further results on constructions of generalized bent Boolean functions

广义 bent 函数构造的进一步研究

Science China Information Sciences volume 59, Article number: 059102 (2016) Cite this article

摘要

创新点

对文献 [Stanica P, Martinsen T, Gangopadhyay S, Singh B J. Bent and generalized bent Boolean functions. Des. Codes Cryptogr., 2013, 69: 77–94.]中的三个重要结果做了进一步的研究。 第一, 通过对关于 2 个变元对称的 n+2 元广义 bent 函数的研究, 刻画了一类关于 m 个变元对称的 n+m 元广义 bent 函数, 其中 m 为偶数。 第二, 基于广义 bent 函数已知抽象结果, 给出了构造该类广义 bent 函数几种具体的新方法, 提高了过去的结果。

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Author information

Affiliations

  1. School of Computer Science and Technology, China University of Mining and Technology, Xuzhou, 221116, China

    Fengrong Zhang & Shixiong Xia

  2. State Key Laboratory of Integrated Services Networks, Xidian University, Xi’an, 710071, China

    Fengrong Zhang

  3. Naval Postgraduate School, Applied Mathematics Department, Monterey, CA, 93943, USA

    Pantelimon Stănică

  4. Science and Technology on Communication Security Laboratory, Chengdu, 610041, China

    Yu Zhou

Authors
  1. Fengrong Zhang
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  2. Shixiong Xia
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  3. Pantelimon Stănică
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  4. Yu Zhou
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Correspondence to Shixiong Xia.

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Zhang, F., Xia, S., Stănică, P. et al. Further results on constructions of generalized bent Boolean functions. Sci. China Inf. Sci. 59, 059102 (2016). https://doi.org/10.1007/s11432-016-5543-7

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关键词

  • 布尔函数
  • 广义布尔函数
  • bent 函数
  • 广义 bent 函数