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

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成果类型:
期刊论文
作者:
Peng, Jie*;Kan, Haibin
通讯作者:
Peng, Jie
作者机构:
[Peng, Jie] Cent China Normal Univ, Dept Math & Stat, Wuhan 430079, Peoples R China.
[Kan, Haibin] Fudan Univ, Sch Comp Sci, Shanghai Key Lab Intelligent Informat Proc, Shanghai 200433, Peoples R China.
通讯机构:
[Peng, Jie] C
Cent China Normal Univ, Dept Math & Stat, Wuhan 430079, Peoples R China.
语种:
英文
关键词:
symmetric Boolean function;correlation immune;correlation attack;algebraic degree
期刊:
IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences
ISSN:
0916-8508
年:
2014
卷:
E97-A
期:
1
页码:
365-370
基金类别:
National Natural Science Foundation of ChinaNational Natural Science Foundation of China (NSFC) [61202471, 61170208]; China Postdoctoral Science FoundationChina Postdoctoral Science Foundation [2012M511639]; Shanghai Key Program of Basic Research [12JC1401400]; Shanghai Shuguang Project [10SG01]; National Defense Pre-Research Project [2012004]
机构署名:
本校为第一且通讯机构
院系归属:
数学与统计学学院
摘要:
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 we...

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