| 一类几乎完全非线性多项式函数 |
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| 引用本文： | 査正邦,赵武超.一类几乎完全非线性多项式函数[J].洛阳师范学院学报,2011,30(11):1-2,8. |
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| 作者姓名： | 査正邦 赵武超 |
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| 作者单位： | 洛阳师范学院数学科学学院,河南洛阳,471022 |
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| 基金项目： | 河南省教育厅自然科学研究计划项目(2011B120008) |
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| 摘 要： | 本文给出了F22m上的一类几乎完全非线性多项式函数,该多项式函数在m=4时CCZ不等价于所有已知的幂函数,且由其可构造出一类新的bent函数.
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| 关 键 词： | 几乎完全非线性 bent函数 差分一致性 |
A Family of Almost Perfect Nonlinear Polynomial Functions |
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| ZHA Zheng-bang,ZHAO Wu-chao.A Family of Almost Perfect Nonlinear Polynomial Functions[J].Journal of Luoyang Teachers College,2011,30(11):1-2,8. |
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| Authors: | ZHA Zheng-bang ZHAO Wu-chao |
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| Institution: | ZHA Zheng-bang,ZHAO Wu-chao(College of Mathematics and Science,Luoyang Normal University,Luoyang 471022,China) |
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| Abstract: | In this paper,a new family of almost perfect nonlinear(APN) polynomial functions over F22m are introduced,and they are shown to be CCZ-inequivalent to power functions when m=4.Moreover,a new family of bent functions is constructed with these APN functions. |
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| Keywords: | almost perfect nonlinear bent functions differential uniformity |
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