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| 正形置换的Walsh谱特征 | |
| 引用本文： | 张帆,周文勇,邬长安. 正形置换的Walsh谱特征[J]. 信阳师范学院学报(自然科学版), 2012, 25(3): 296-298 |
| 作者姓名： | 张帆 周文勇 邬长安 |
| 作者单位： | 信阳师范学院计算机与信息技术学院,河南信阳,464000 |
| 基金项目： | 河南省科技攻关项目(102102210242);河南省教育厅自然科学基础研究项目(12B520052) |
| 摘 要： | 在研究多输出Boole函数Walsh循环谱的基础上,利用多输出Boole函数的正交性与其坐标函数任意组合函数的平衡性之间的等价关系,证明了一个置换f(x)是正形置换的充要条件是其Walsh循环谱W(f)(α,α)=W(f)(0,α)=0. |
| 关 键 词： | 正形置换 Walsh谱 多输出Boole函数 平衡性 |
Walsh Spectral Characteristics of Orthomorphic Permutations |
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| ZHANG Fan , ZHOU Wen-yong , WU Chang-an. Walsh Spectral Characteristics of Orthomorphic Permutations[J]. Journal of Xinyang Teachers College(Natural Science Edition), 2012, 25(3): 296-298 | |
| Authors: | ZHANG Fan ZHOU Wen-yong WU Chang-an |
| Affiliation: | (College of Computer and Information Technology,Xinyang Normal University,Xinyang 464000,China) |
| Abstract: | On the basis of analyzing Walsh cyclic spectrum of multi-output Boole function,using the equivalence between the orthogonality of multi-output Boole function and balance of its coordinate function any combination,it was proved that multi-output Boole function is an orthomorphic permutation if and only if W(f)(α,α)=W(f)(0,α)=0. |
| Keywords: | orthomorphic permutation Walsh spectrum multi-output Boole function balance |
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