周期为pn+1的GF(q)上广义分圆序列的线性复杂度

胡传方,岳勤*

南京林业大学学报(自然科学版) ›› 2012, Vol. 36 ›› Issue (05) : 145-147.

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南京林业大学学报(自然科学版) ›› 2012, Vol. 36 ›› Issue (05) : 145-147. DOI: 10.3969/j.jssn.1000-2006.2012.05.028
研究论文

周期为pn+1的GF(q)上广义分圆序列的线性复杂度

  • 胡传方,岳勤*
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The linear complexity of pn+1periodic generalized cyclotomic sequence over GF(q)

  • HU Chuanfang, YUE Qin*
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摘要

主要研究周期为pn+1的q元域上广义分圆序列的线性复杂度,即把二元域上Edemskii的研究结果推广到一般GF(q)上。 这里利用分圆数和部分指数和来给出具体的关于线性复杂度的计算公式。

Abstract

This paper mainly researched the linear complexity of pn+1periodic generalized cyclotomic sequences, which generalize Edemskiis results which is mentioned in the first reference from binary field to GF(q). In this paper,cyclotomic number and sums of partial index number will be used to give concrete computation equation of the linear complexity.

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胡传方,岳勤*. 周期为pn+1的GF(q)上广义分圆序列的线性复杂度[J]. 南京林业大学学报(自然科学版). 2012, 36(05): 145-147 https://doi.org/10.3969/j.jssn.1000-2006.2012.05.028
HU Chuanfang, YUE Qin*. The linear complexity of pn+1periodic generalized cyclotomic sequence over GF(q)[J]. JOURNAL OF NANJING FORESTRY UNIVERSITY. 2012, 36(05): 145-147 https://doi.org/10.3969/j.jssn.1000-2006.2012.05.028
中图分类号: O236   

参考文献

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[5]Edemskii V A. About computation of the linear complexity of generalized cyclotomic sequences with period pn+1, to appear Des[J]. Springer:Codes Cryptography, 2011,61(3): 251-260.
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[8]胡丽琴.高斯周期、分圆序列及码本[D].南京:南京航空航天大学,2012.
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基金

收稿日期:2011-11-25修回日期:2012-05-30
基金项目:国家自然科学基金项目(10971250,11171150)
第一作者:胡传方,研究生。*通信作者:岳勤,教授。E-mail: yueqin@nuaa.cn。
引文格式:胡传方,岳勤. 周期为pn+1的GF(q)上广义分圆序列的线性复杂度[J]. 南京林业大学学报:自然科学版,2012,36(5):145-147.

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