{"title":"Symmetric 4-adic Complexity of Quaternary Sequences of Length pq with Low Autocorrelation","authors":"V. Edemskiy, S. Koltsova","doi":"10.1109/ITW55543.2023.10161654","DOIUrl":null,"url":null,"abstract":"In this paper, we consider quaternary sequences of length pq, where p and q are two different odd primes. These sequences are constructed based on Legendre symbol and have low autocorrelation and high linear complexity. We derive the symmetric 4-adic complexity of these sequences and show that it is good enough to resist the attack of the rational approximation algorithm.","PeriodicalId":439800,"journal":{"name":"2023 IEEE Information Theory Workshop (ITW)","volume":"20 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2023-04-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"2023 IEEE Information Theory Workshop (ITW)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ITW55543.2023.10161654","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
In this paper, we consider quaternary sequences of length pq, where p and q are two different odd primes. These sequences are constructed based on Legendre symbol and have low autocorrelation and high linear complexity. We derive the symmetric 4-adic complexity of these sequences and show that it is good enough to resist the attack of the rational approximation algorithm.
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