Based on the properties of the 2-tuples distribution matrix of the rotation symmetric orbits,all 7-variable 2-resilient rotation symmetric Boolean functions were constructed concretely.The results show that there are only 280 nonlinear 2-resilient rotation symmetric Boolean functions over F 72.Furthermore,there are at least 280 nonlinear 2-resilient rotation symmetric Boolean functions over F 72 k for any odd number k.
关键词
密码学/旋转对称函数/弹性函数/支撑矩阵/数对分布矩阵
Key words
cryptography/rotation symmetric function/resilient function/support matrix/2-tuples distribution matrix
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基金项目
国家自然科学基金资助项目(62372157)
国家自然科学基金资助项目(62272208)
国家自然科学基金资助项目(62172196)
国家自然科学基金资助项目(12001173)
国家自然科学基金资助项目(11971004)
北京邮电大学网络与交换技术国家重点实验室开放基金资助项目(SKLNST-2022-1-01)
Open Foundation of State Key Laboratory of Networking and Switching Technology()
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