| 二次完备非线性函数的构造 |
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| 引用本文： | 何业锋.二次完备非线性函数的构造[J].西安石油大学学报(自然科学版),2012,27(4):101-104,119. |
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| 作者姓名： | 何业锋 |
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| 作者单位： | 西安邮电大学通信与信息工程学院,陕西西安,710121 |
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| 基金项目： | 国家自然科学基金项目，陕西省教育厅专项科研计划项目，校青年教师科研基金项目 |
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| 摘 要： | 完备非线性函数能很好地抵抗差分密码分析,在密码和通信领域中有重要应用.构造了一族代数次数为二次的完备非线性函数,该函数为具有四项的Dembowski-Ostrom多项式.证明了新构造的完备非线性函数不但EA-不等价于已知的完备非线性方幂函数,而且也不等价于所有已知的完备非线性函数.
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| 关 键 词： | 密码学 差分密码分析 差分均衡度 完备非线性 |
On the construction of quadratic perfect nonlinear functions |
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| HE Ye-feng.On the construction of quadratic perfect nonlinear functions[J].Journal of Xian Shiyou University,2012,27(4):101-104,119. |
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| Authors: | HE Ye-feng |
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| Affiliation: | HE Ye-feng(School of Telecommunication and Information Engineering,Xi’an University of Posts and Telecommunications,Xi’an 710121,Shaanxi,China) |
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| Abstract: | Perfect nonlinear functions can provide good protection for differential cryptanalysis,so they have important applications in cryptology and communications.A new family of quadratic perfect nonlinear functions is constructed.They are Dembowski-Ostrom polynomials with four terms.It is proven that the new quadratic perfect nonlinear functions are EA-inequivalent not only to known perfect nonlinear power functions but also to all known perfect nonlinear functions. |
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| Keywords: | cryptology differential cryptanalysis differential uniformity perfect nonlinearity |
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