G. Baumslag, Yegor Bryukhov, B. Fine, Douglas R. Troeger
{"title":"Challenge response password security using combinatorial group theory","authors":"G. Baumslag, Yegor Bryukhov, B. Fine, Douglas R. Troeger","doi":"10.1515/gcc.2010.005","DOIUrl":null,"url":null,"abstract":"Abstract Challenge response methods are increasingly used to enhance password security. In this paper we present a very secure method for challenge response password verification using combinatorial group theory. This method, which relies on the group randomizer system, a subset of the MAGNUS computer algebra system, handles most of the present problems with challenge response systems. Theoretical security is based on several results in asymptotic group theory.","PeriodicalId":119576,"journal":{"name":"Groups Complex. Cryptol.","volume":"45 4","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"4","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Groups Complex. Cryptol.","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1515/gcc.2010.005","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 4
Abstract
Abstract Challenge response methods are increasingly used to enhance password security. In this paper we present a very secure method for challenge response password verification using combinatorial group theory. This method, which relies on the group randomizer system, a subset of the MAGNUS computer algebra system, handles most of the present problems with challenge response systems. Theoretical security is based on several results in asymptotic group theory.
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