IEEE Access (Jan 2018)

A New Algorithm for Enumerating Bent Functions Based on Truth Tables and Run Length

  • Yongbin Zhao,
  • Ning Cao,
  • Zhaohui Qi,
  • Guofu Li,
  • Pingzeng Liu

DOI
https://doi.org/10.1109/ACCESS.2017.2787618
Journal volume & issue
Vol. 6
pp. 23800 – 23805

Abstract

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In this paper, we first provide some properties of truth tables of bent functions. Furthermore, a upper bound of truth table's runs length of a bent function is presented. Based on these results, we propose a new algorithm for enumerating bent functions. At last, we find that our algorithm requires lower storage complexity and is easier to implement with parallel/distributed computing infrastructures by comparing with some known searching algorithms.

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