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Further results on constructions of generalized bent Boolean functions

广义 bent 函数构造的进一步研究

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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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