| GMW-序列的多项相关性 |
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| 引用本文： | 祁传达,陈欣.GMW-序列的多项相关性[J].数学的实践与认识,2010,40(7). |
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| 作者姓名： | 祁传达 陈欣 |
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| 作者单位： | 1. 信阳师范学院,数学与信息科学学院,河南,信阳,464000
2. 信阳职业技术学院,数学与计算机科学系,河南,信阳,464000 |
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| 基金项目： | 河南省高校科技创新人才支持计划项目(2009HASTIT032) |
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| 摘 要： | 提出了多项相关性的概念,并对二元序列进行多项相关分析,给出了GMW-序列多项相关函数的代数表达式和值域,证明了m—序列的各级相关函数的值域均为{1,T~(-1)},而GMW-序列除了自相关函数值域为{1,T~(-1)}外,其三级和三级以上的多项相关函数的值域的基数都大于2.
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| 关 键 词： | 多级相关函数 m-序列 GMW-序列 迹函数 |
GMW-sequences Multinomial Relativity |
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| QI Chuan-da,CHEN Xin.GMW-sequences Multinomial Relativity[J].Mathematics in Practice and Theory,2010,40(7). |
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| Authors: | QI Chuan-da CHEN Xin |
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| Institution: | QI Chuan-da~1,CHEN Xin~2 (1.College of Mathematics , Information Science,Xinyang Normal University,Xinyang 464000,China) (2.Department of Mathematics , Computer Science,Xinyang Vocational & Technical College,Xinyang 464- 000,China) |
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| Abstract: | presented the conception of multinomial relativity,analyzed the multinomial relativity of binary sequences,given the expression and value field of GMW-sequences multinomial relative function,showed it is {1,T~(-1)} that value field of m-sequences multinomial relative function,but all the cardinal number of value field is greater than two for GMW-sequences multinomial relative function except autocorrelative function. |
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| Keywords: | multinomial relativity autocorrelativity m-sequences GMW-sequences trace function |
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