构造具有良好密码学性质的旋转对称布尔函数
doi: 10.3724/SP.J.1146.2012.00329
Construction of Rotation Symmetric Boolean Functions with Good Cryptographic Properties
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摘要: 该文提出构造具有良好密码学性质的2m元旋转对称布尔函数的新方法。该类函数是平衡的，具有最大代数免疫度、最优代数次数和高非线性度，是一类能够同时满足多种密码学指标的优良函数。Abstract: In this paper, a new class of rotation symmetric Boolean functions with good cryptographic properties are constructed when the number of variables is 2m. These constructed functions are balanced, and have maximum algebraic immunity, optimum algebraic degree and high nonlinearity. They are excellent functions which can satisfy many cryptographic indexes simultaneously.
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Key words:
- Cryptography /
- Boolean functions /
- Rotation symmetry /
- Algebraic Immunity (AI)
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