{"title":"在奇数特征域Fp上利用2次原始多项式生成的伪随机二值序列","authors":"Ali Md. Arshad, Y. Nogami","doi":"10.1109/ICCE-TW.2016.7520895","DOIUrl":null,"url":null,"abstract":"Let p be an odd prime number as the characteristic of finite field, this paper introduces a pseudo random binary sequence generated by a primitive polynomial of degree 2 over Fp, trace function, and Legendre symbol. Then, its period and autocorrelation are introduced with a small example.","PeriodicalId":6620,"journal":{"name":"2016 IEEE International Conference on Consumer Electronics-Taiwan (ICCE-TW)","volume":"51 1","pages":"1-2"},"PeriodicalIF":0.0000,"publicationDate":"2016-05-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":"{\"title\":\"A pseudo-random binary sequence generated by using primitive polynomial of degree 2 over odd characteristic field Fp\",\"authors\":\"Ali Md. Arshad, Y. Nogami\",\"doi\":\"10.1109/ICCE-TW.2016.7520895\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Let p be an odd prime number as the characteristic of finite field, this paper introduces a pseudo random binary sequence generated by a primitive polynomial of degree 2 over Fp, trace function, and Legendre symbol. Then, its period and autocorrelation are introduced with a small example.\",\"PeriodicalId\":6620,\"journal\":{\"name\":\"2016 IEEE International Conference on Consumer Electronics-Taiwan (ICCE-TW)\",\"volume\":\"51 1\",\"pages\":\"1-2\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2016-05-27\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2016 IEEE International Conference on Consumer Electronics-Taiwan (ICCE-TW)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ICCE-TW.2016.7520895\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2016 IEEE International Conference on Consumer Electronics-Taiwan (ICCE-TW)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ICCE-TW.2016.7520895","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
A pseudo-random binary sequence generated by using primitive polynomial of degree 2 over odd characteristic field Fp
Let p be an odd prime number as the characteristic of finite field, this paper introduces a pseudo random binary sequence generated by a primitive polynomial of degree 2 over Fp, trace function, and Legendre symbol. Then, its period and autocorrelation are introduced with a small example.
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