The Degree of Two Classes of 3rd Order Correlation Immune Symmetric Boolean Functions

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概要

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• Two classes of 3rd order correlation immune symmetric Boolean functions have been constructed respectively in [1] and [2], in which some interesting phenomena of the algebraic degree have been observed as well. However, a good explanation has not been given. In this paper, we obtain the formulas for the degree of these functions, which can well explain the behavior of their degree.

著者

• KAN Haibin

  Shanghai Key Lab of Intelligent Information Processing, School of Computer Sciences, Fudan University

• KAN Haibin

  Shanghai Key Lab of Intelligent Information Processing, School of Computer Science, Fudan University

• PENG Jie

  Department of Mathematics and Statistics, Central China Normal University

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