{"title":"利用Groebner碱基进行LFSR鉴定","authors":"S. Vijayakumaran","doi":"10.1109/NCC.2016.7561164","DOIUrl":null,"url":null,"abstract":"Given the output of an unknown linear feedback shift register (LFSR), the Berlekamp-Massey algorithm can be used to recover the characteristic polynomial of the LFSR. We propose a method to recover the characteristic polynomial and initial state of an LFSR from a noisy version of its output sequence using Groebner bases.","PeriodicalId":279637,"journal":{"name":"2016 Twenty Second National Conference on Communication (NCC)","volume":"97 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2016-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"LFSR identification using Groebner bases\",\"authors\":\"S. Vijayakumaran\",\"doi\":\"10.1109/NCC.2016.7561164\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Given the output of an unknown linear feedback shift register (LFSR), the Berlekamp-Massey algorithm can be used to recover the characteristic polynomial of the LFSR. We propose a method to recover the characteristic polynomial and initial state of an LFSR from a noisy version of its output sequence using Groebner bases.\",\"PeriodicalId\":279637,\"journal\":{\"name\":\"2016 Twenty Second National Conference on Communication (NCC)\",\"volume\":\"97 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2016-03-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2016 Twenty Second National Conference on Communication (NCC)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/NCC.2016.7561164\",\"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 Twenty Second National Conference on Communication (NCC)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/NCC.2016.7561164","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Given the output of an unknown linear feedback shift register (LFSR), the Berlekamp-Massey algorithm can be used to recover the characteristic polynomial of the LFSR. We propose a method to recover the characteristic polynomial and initial state of an LFSR from a noisy version of its output sequence using Groebner bases.