{"title":"环中实用的私钥全同态加密","authors":"A. Gribov, Delaram Kahrobaei, V. Shpilrain","doi":"10.1515/gcc-2018-0006","DOIUrl":null,"url":null,"abstract":"Abstract We describe a practical fully homomorphic encryption (FHE) scheme based on homomorphisms between rings and show that it enables very efficient computation on encrypted data. Our encryption though is private-key; public information is only used to operate on encrypted data without decrypting it. Still, we show that our method allows for a third party search on encrypted data.","PeriodicalId":41862,"journal":{"name":"Groups Complexity Cryptology","volume":"36 1","pages":"17 - 27"},"PeriodicalIF":0.1000,"publicationDate":"2018-04-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"7","resultStr":"{\"title\":\"Practical private-key fully homomorphic encryption in rings\",\"authors\":\"A. Gribov, Delaram Kahrobaei, V. Shpilrain\",\"doi\":\"10.1515/gcc-2018-0006\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Abstract We describe a practical fully homomorphic encryption (FHE) scheme based on homomorphisms between rings and show that it enables very efficient computation on encrypted data. Our encryption though is private-key; public information is only used to operate on encrypted data without decrypting it. Still, we show that our method allows for a third party search on encrypted data.\",\"PeriodicalId\":41862,\"journal\":{\"name\":\"Groups Complexity Cryptology\",\"volume\":\"36 1\",\"pages\":\"17 - 27\"},\"PeriodicalIF\":0.1000,\"publicationDate\":\"2018-04-19\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"7\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Groups Complexity Cryptology\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1515/gcc-2018-0006\",\"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-2018-0006","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS","Score":null,"Total":0}
Practical private-key fully homomorphic encryption in rings
Abstract We describe a practical fully homomorphic encryption (FHE) scheme based on homomorphisms between rings and show that it enables very efficient computation on encrypted data. Our encryption though is private-key; public information is only used to operate on encrypted data without decrypting it. Still, we show that our method allows for a third party search on encrypted data.