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The Degree of Two Classes of 3rd Order Correlation Immune Symmetric Boolean Functions
Jie PENG Haibin KAN
IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences
Publication Date: 2014/01/01
Online ISSN: 1745-1337
Print ISSN: 0916-8508
Type of Manuscript: PAPER
Category: Cryptography and Information Security
symmetric Boolean function, correlation immune, correlation attack, algebraic degree,
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Two classes of 3rd order correlation immune symmetric Boolean functions have been constructed respectively in  and , 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.