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关于多值互素序列的几点注记

Some Notes on the Polyphase Related-prime Sequences
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摘要 基于q-值Legendre序列可以构造长度为L=uv(u,v均为奇素数)的q-值互素序列。利用序列的二维阵列表示对其中的一类子序列(当q为奇素数并且L≡1mod2q时)给出了几个注记;研究了该类序列的构造特点;确定了该类序列的符号分布,线性复杂度和极小多项式。 The q-phase related-prime sequences of length L= uv, with u and v both odd prime, can be constructed by basing on q-phase Legendre sequences. Making use of the two-dimensional array representation of a sequence, we give some notes on the q-phase related-prime sequences, with q odd prime and L ≡ 1 mod 2q. The symbol distribution, linear complexity and the minimal polynomials of these sequences are determined. Keywords:
出处 《工程数学学报》 CSCD 北大核心 2006年第3期461-467,共7页 Chinese Journal of Engineering Mathematics
基金 973项目(G1999035804) "十五"军事通信预研项目(41001040102)
关键词 Legendre序列 Jacobi序列 多值互素序列 线性复杂度 极小多项式 Legendre sequences Jacobi sequences polyphase related-prime sequences linear complexity minimal polynomials
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参考文献6

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