| 基于拉丁方的GF(p)上q元旋转对称弹性函数的新构造 |
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| 引用本文： | 杜蛟,刘春红,张恩,尚玉婧,董乐.基于拉丁方的GF(p)上q元旋转对称弹性函数的新构造[J].电子学报,2018,46(9):2173-2180. |
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| 作者姓名： | 杜蛟 刘春红 张恩 尚玉婧 董乐 |
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| 作者单位： | 1. 河南师范大学数学与信息科学学院, 河南新乡 453007;
2. 河南师范大学大数据统计分析与优化控制河南省工程实验室, 河南新乡 453007;
3. 河南师范大学计算机与信息工程学院, 河南新乡 453007 |
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| 摘 要： | 在特征为p的有限域上，基于弹性函数与正交表大集间的等价关系，借助于一个具有最大圈结构的拉丁方，给出了一个构造q元旋转对称弹性函数的新方法.此外，通过一个具体的实例说明了本文的方法能够构造出已有方法不能构造的GF（p）上的q元旋转对称弹性函数.
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| 关 键 词： | 密码学 旋转对称函数 平衡函数 弹性函数 l值支撑矩阵 |
| 收稿时间： | 2017-05-09 |
New Constructions of q-Variable Rotation Symmetric Resilient Functions Based on Latin Square Over GF(p) |
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| DU Jiao,LIU Chun-hong,ZHANG En,SHANG Yu-jing,DONG Le.New Constructions of q-Variable Rotation Symmetric Resilient Functions Based on Latin Square Over GF(p)[J].Acta Electronica Sinica,2018,46(9):2173-2180. |
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| Authors: | DU Jiao LIU Chun-hong ZHANG En SHANG Yu-jing DONG Le |
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| Affiliation: | 1. College of Mathematics and Information Science, Henan Normal University, Xinxiang, Henan 453007, China;
2. Henan Engineering Laboratory for Big Data Statistical Analysis and Optimal Control, Henan Normal University, Xinxiang, Henan 453007, China;
3. College of Computer and Information Engineering, Henan Normal University, Xinxiang, Henan 453007, China |
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| Abstract: | A novel method to construct rotation symmetric resilient functions with q variables is proposed over GF(p)by using a Latin square with maximum cycle structure.This method is based on the equivalence between resilient functions and Large sets of orthogonal arrays.Additionally,an example is given to demonstrate that some rotation symmetric resilient functions with q variables can be constructed by the method presented in this paper,while these functions cannot be determined according to the earlier constructions over the finite field GF(p). |
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| Keywords: | cryptography rotation symmetric functions balanced functions resilient functions l-value support table |
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