{"title":"算术群在密码学中的一些应用","authors":"Delaram Kahrobaei, Keivan Mallahi-Karai","doi":"10.1515/gcc-2019-2002","DOIUrl":null,"url":null,"abstract":"Abstract In this paper, we will offer a new symmetric-key cryptographic scheme which is based on the existence of exponentially distorted subgroups in arithmetic groups. Aside from this, we will also provide new examples of distorted subgroups in SL n ( ℤ [ x ] ) {\\mathrm{SL}_{n}(\\mathbb{Z}[x])} which can be utilized for the same purpose.","PeriodicalId":41862,"journal":{"name":"Groups Complexity Cryptology","volume":"15 1","pages":"25 - 33"},"PeriodicalIF":0.1000,"publicationDate":"2018-03-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Some applications of arithmetic groups in cryptography\",\"authors\":\"Delaram Kahrobaei, Keivan Mallahi-Karai\",\"doi\":\"10.1515/gcc-2019-2002\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Abstract In this paper, we will offer a new symmetric-key cryptographic scheme which is based on the existence of exponentially distorted subgroups in arithmetic groups. Aside from this, we will also provide new examples of distorted subgroups in SL n ( ℤ [ x ] ) {\\\\mathrm{SL}_{n}(\\\\mathbb{Z}[x])} which can be utilized for the same purpose.\",\"PeriodicalId\":41862,\"journal\":{\"name\":\"Groups Complexity Cryptology\",\"volume\":\"15 1\",\"pages\":\"25 - 33\"},\"PeriodicalIF\":0.1000,\"publicationDate\":\"2018-03-30\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Groups Complexity Cryptology\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1515/gcc-2019-2002\",\"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-2019-2002","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS","Score":null,"Total":0}
Some applications of arithmetic groups in cryptography
Abstract In this paper, we will offer a new symmetric-key cryptographic scheme which is based on the existence of exponentially distorted subgroups in arithmetic groups. Aside from this, we will also provide new examples of distorted subgroups in SL n ( ℤ [ x ] ) {\mathrm{SL}_{n}(\mathbb{Z}[x])} which can be utilized for the same purpose.
求助内容：
应助结果提醒方式：
京公网安备 11010802042870号
