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Algebraic immunity is a new cryptographic criterion proposed to against algebraic attacks. In order to resist algebraic attacks, Boolean functions used in cryptosystem should have high algebraic immunity. This paper presents a construction for even-variable Boolean function with optimum algebraic immunity.
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...
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