{"title":"特殊理想环上的椭圆曲线","authors":"A. Chillali","doi":"10.12816/0006175","DOIUrl":null,"url":null,"abstract":"The goal of this article is to study elliptic curves over the ring Fq[ ], with Fq a nite eld of order q and with the relation 5 = 0. The motivation for this work came from search for new groups with intractable (DLP) discrete logarithm problem is therefore of great importance. The observation groups where the discrete logarithm problem (DLP) is believed to be intractable have proved to be inestimable building blocks for cryptographic applications.","PeriodicalId":210748,"journal":{"name":"International Journal of Open Problems in Computer Science and Mathematics","volume":"53 6 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2013-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Elliptic Curve Over Special Ideal Ring\",\"authors\":\"A. Chillali\",\"doi\":\"10.12816/0006175\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The goal of this article is to study elliptic curves over the ring Fq[ ], with Fq a nite eld of order q and with the relation 5 = 0. The motivation for this work came from search for new groups with intractable (DLP) discrete logarithm problem is therefore of great importance. The observation groups where the discrete logarithm problem (DLP) is believed to be intractable have proved to be inestimable building blocks for cryptographic applications.\",\"PeriodicalId\":210748,\"journal\":{\"name\":\"International Journal of Open Problems in Computer Science and Mathematics\",\"volume\":\"53 6 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2013-06-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"International Journal of Open Problems in Computer Science and Mathematics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.12816/0006175\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Journal of Open Problems in Computer Science and Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.12816/0006175","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
The goal of this article is to study elliptic curves over the ring Fq[ ], with Fq a nite eld of order q and with the relation 5 = 0. The motivation for this work came from search for new groups with intractable (DLP) discrete logarithm problem is therefore of great importance. The observation groups where the discrete logarithm problem (DLP) is believed to be intractable have proved to be inestimable building blocks for cryptographic applications.