Title: Two Classes of Symmetric Boolean Functions With Optimum Algebraic Immunity: Construction and Analysis
Abstract:This paper discusses two classes of symmetric Boolean functions. For each class, a necessary and sufficient condition for having optimum algebraic immunity is proposed. The algebraic degree and nonlin...This paper discusses two classes of symmetric Boolean functions. For each class, a necessary and sufficient condition for having optimum algebraic immunity is proposed. The algebraic degree and nonlinearity of the Boolean functions are also completely determined. And then we prove several of Braeken's conjectures about the algebraic degree and nonlinearity of the Boolean functions with optimum algebraic immunity in the two classes.Read More
Publication Year: 2011
Publication Date: 2011-03-15
Language: en
Type: article
Indexed In: ['crossref']
Access and Citation
Cited By Count: 29
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