{"title":"基于自动化组的密钥协议","authors":"R. Grigorchuk, D. Grigoriev","doi":"10.1515/gcc-2019-2012","DOIUrl":null,"url":null,"abstract":"Abstract We suggest several automaton groups as platforms for Anshel–Anshel–Goldfeld key agreement metascheme. They include Grigorchuk and universal Grigorchuk groups, Hanoi 3-towers group, the Basilica group and a subgroup of the affine group Aff4(ℤ){\\mathrm{Aff}_{4}(\\mathbb{Z})}.","PeriodicalId":41862,"journal":{"name":"Groups Complexity Cryptology","volume":"100 1","pages":"77 - 81"},"PeriodicalIF":0.1000,"publicationDate":"2019-05-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":"{\"title\":\"Key agreement based on automaton groups\",\"authors\":\"R. Grigorchuk, D. Grigoriev\",\"doi\":\"10.1515/gcc-2019-2012\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Abstract We suggest several automaton groups as platforms for Anshel–Anshel–Goldfeld key agreement metascheme. They include Grigorchuk and universal Grigorchuk groups, Hanoi 3-towers group, the Basilica group and a subgroup of the affine group Aff4(ℤ){\\\\mathrm{Aff}_{4}(\\\\mathbb{Z})}.\",\"PeriodicalId\":41862,\"journal\":{\"name\":\"Groups Complexity Cryptology\",\"volume\":\"100 1\",\"pages\":\"77 - 81\"},\"PeriodicalIF\":0.1000,\"publicationDate\":\"2019-05-08\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"3\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Groups Complexity Cryptology\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1515/gcc-2019-2012\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Groups Complexity Cryptology","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1515/gcc-2019-2012","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS","Score":null,"Total":0}
Abstract We suggest several automaton groups as platforms for Anshel–Anshel–Goldfeld key agreement metascheme. They include Grigorchuk and universal Grigorchuk groups, Hanoi 3-towers group, the Basilica group and a subgroup of the affine group Aff4(ℤ){\mathrm{Aff}_{4}(\mathbb{Z})}.
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