Constructions of perfect Gaussian integer sequences of odd prime length

Yubo LI; Miao CHEN; Tao LIU; Ying ZHANG

doi:10.11959/j.issn.1000-436x.2018230

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Constructions of perfect Gaussian integer sequences of odd prime length

Correspondences | 更新时间：2024-06-05

- Constructions of perfect Gaussian integer sequences of odd prime length
- Journal on Communications Vol. 39, Issue 11, Pages: 190-197(2018)
- 作者机构：
  
  1. 燕山大学信息科学与工程学院，河北秦皇岛 066004
  2. 河北省信息传输与信号处理重点实验室，河北秦皇岛 066004
- 作者简介：
- 基金信息：
  
  The National Natural Science Foundation of China(61501395)
- DOI：10.11959/j.issn.1000-436x.2018230
  CLC： TN911.2
- Online First：2018-11，
  
  Published：25 November 2018
- 稿件说明：
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Yubo LI, Miao CHEN, Tao LIU, et al. Constructions of perfect Gaussian integer sequences of odd prime length[J]. Journal on Communications, 2018, 39(11): 190-197.
DOI：

Yubo LI, Miao CHEN, Tao LIU, et al. Constructions of perfect Gaussian integer sequences of odd prime length[J]. Journal on Communications, 2018, 39(11): 190-197. DOI： 10.11959/j.issn.1000-436x.2018230.

摘要

提出一类基于分圆类构造完备高斯整数序列的方法。分别通过有限域GF(p)上的2阶和4阶分圆类，构造得到自由度分别为3和5的高斯整数序列，序列长度为奇素数，该序列具有良好的完备自相关性能。该构造方法解决了以往利用分圆类计算复杂度较高，不易求解的问题，简化了序列的生成方法。该序列在无线通信中具有良好的应用前景。

Abstract

Constructions of perfect Gaussian integer sequences (PGIS) based on the cyclotomic classes were proposed.The PGIS with degree 3 and 5 were constructed respectively from the cyclotomic classes of order 2 and 4.The presented sequences with odd prime length have ideal autocorrelations.The methods solved the problem that the traditional constructions of PGIS from the cyclotomic classes have high computational complexity.As a result

this kind of sequences will be useful in the applications of wireless communications.

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Keywords

references

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