{"title":"计算有限德林菲尔德模块之间的同源性","authors":"B. Wesolowski","doi":"10.62056/avommp-3y","DOIUrl":null,"url":null,"abstract":"We prove that isogenies between Drinfeld F[x]-modules over a finite field can be computed in polynomial time. This breaks Drinfeld analogs of isogeny-based cryptosystems.","PeriodicalId":508905,"journal":{"name":"IACR Cryptol. ePrint Arch.","volume":"68 6","pages":"438"},"PeriodicalIF":0.0000,"publicationDate":"2024-04-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":"{\"title\":\"Computing isogenies between finite Drinfeld modules\",\"authors\":\"B. Wesolowski\",\"doi\":\"10.62056/avommp-3y\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We prove that isogenies between Drinfeld F[x]-modules over a finite field can be computed in polynomial time. This breaks Drinfeld analogs of isogeny-based cryptosystems.\",\"PeriodicalId\":508905,\"journal\":{\"name\":\"IACR Cryptol. ePrint Arch.\",\"volume\":\"68 6\",\"pages\":\"438\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-04-09\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"3\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"IACR Cryptol. ePrint Arch.\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.62056/avommp-3y\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"IACR Cryptol. ePrint Arch.","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.62056/avommp-3y","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Computing isogenies between finite Drinfeld modules
We prove that isogenies between Drinfeld F[x]-modules over a finite field can be computed in polynomial time. This breaks Drinfeld analogs of isogeny-based cryptosystems.