Constructions of perfect Gaussian integer sequences of odd prime length

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 solve...

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Bibliographic Details
Main Authors: Yubo LI, Miao CHEN, Tao LIU, Ying ZHANG
Format: Article
Language:zho
Published: Editorial Department of Journal on Communications 2018-11-01
Series:Tongxin xuebao
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Online Access:http://www.joconline.com.cn/zh/article/doi/10.11959/j.issn.1000-436x.2018230/
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Summary: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.
ISSN:1000-436X