| P元周期倒序广义对偶多维序列的复杂性分析 |
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| 引用本文： | 王菊香,唐淼.P元周期倒序广义对偶多维序列的复杂性分析[J].井冈山大学学报（自然科学版）,2017(6):43-47. |
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| 作者姓名： | 王菊香 唐淼 |
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| 作者单位： | 安徽建筑大学数理学院, 安徽, 合肥 230601,安徽农业大学应用数学系, 安徽, 合肥 230036 |
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| 基金项目： | 安徽省教育厅自然科学基金一般项目（KJ2015JD18）；安徽省高校优秀青年人才支持计划基金重点项目（gxyqZD2016032）；安徽省高校自然科学研究项目重点项目（KJ2017A136） |
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| 摘 要： | 线性复杂度是度量密钥流序列的重要指标。在P元周期倒序单序列的对偶序列极小多项式性质的基础上,讨论了P元周期倒序广义对偶多维序列的极小多项式的性质,并明确给出P元周期倒序广义对偶多维序列与原多维序列之间的联合线性复杂度的关系式。这些结果很好地推动了密钥流多维序列的联合线性复杂度研究的发展。
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| 关 键 词： | 联合线性复杂度 对偶序列 周期倒序序列 流密码 |
| 收稿时间： | 2017/8/13 0:00:00 |
| 修稿时间： | 2017/10/15 0:00:00 |
THE ANALYSIS OF COMPLEXITY OF PERIODIC INVERTED GENERALIZED BIT-WISE NEGATIVE MULTI-SEQUENCES OVER FP |
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| WANG Ju-xiang and TANG Miao.THE ANALYSIS OF COMPLEXITY OF PERIODIC INVERTED GENERALIZED BIT-WISE NEGATIVE MULTI-SEQUENCES OVER FP[J].Journal of Jinggangshan University(Natural Sciences Edition),2017(6):43-47. |
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| Authors: | WANG Ju-xiang and TANG Miao |
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| Institution: | School of Mathematics and Physics, Anhui Jianzhu University, Hefei, Anhui 230601, China and Department of Applied Mathematics, Anhui Agricultural University, Hefei, Anhui 230036, China |
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| Abstract: | On base of the conclusion of periodic inverted generalized bit-wise negative sequences, the discussion of the minimum generate polynomials of binary periodic inverted generalized bit-wise negative multi sequences was presented over FP. The relation between binary periodic inverted generalized bit-wise negative multi-sequences and original periodic multi-sequences was pointed out. The results presented can be used to analyze the joint complexity of periodic multi sequences of stream ciphers. |
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| Keywords: | joint linear complexity bit-wise negative sequences periodic inverted sequences stream ciphers |
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