{"title":"“MAKE”的密码分析","authors":"Daniel R. L. Brown, N. Koblitz, Jason Legrow","doi":"10.1515/jmc-2021-0016","DOIUrl":null,"url":null,"abstract":"Abstract Rahman and Shpilrain proposed a Diffie–Hellman style key exchange based on a semidirect product of n × n n\\times n -matrices over a finite field. We show that, using public information, an adversary can recover the agreed upon secret key by solving a system of n 2 {n}^{2} linear equations.","PeriodicalId":43866,"journal":{"name":"Journal of Mathematical Cryptology","volume":"16 1","pages":"98 - 102"},"PeriodicalIF":0.5000,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"10","resultStr":"{\"title\":\"Cryptanalysis of “MAKE”\",\"authors\":\"Daniel R. L. Brown, N. Koblitz, Jason Legrow\",\"doi\":\"10.1515/jmc-2021-0016\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Abstract Rahman and Shpilrain proposed a Diffie–Hellman style key exchange based on a semidirect product of n × n n\\\\times n -matrices over a finite field. We show that, using public information, an adversary can recover the agreed upon secret key by solving a system of n 2 {n}^{2} linear equations.\",\"PeriodicalId\":43866,\"journal\":{\"name\":\"Journal of Mathematical Cryptology\",\"volume\":\"16 1\",\"pages\":\"98 - 102\"},\"PeriodicalIF\":0.5000,\"publicationDate\":\"2022-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"10\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Mathematical Cryptology\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1515/jmc-2021-0016\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"COMPUTER SCIENCE, THEORY & METHODS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Mathematical Cryptology","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1515/jmc-2021-0016","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"COMPUTER SCIENCE, THEORY & METHODS","Score":null,"Total":0}
Abstract Rahman and Shpilrain proposed a Diffie–Hellman style key exchange based on a semidirect product of n × n n\times n -matrices over a finite field. We show that, using public information, an adversary can recover the agreed upon secret key by solving a system of n 2 {n}^{2} linear equations.