{"title":"特殊理想环A3和密码学","authors":"My Hachem Hassib, A. Chillali, M. A. Elomary","doi":"10.1109/JNS3.2013.6595474","DOIUrl":null,"url":null,"abstract":"In [1] and [2] we defined the elliptic curve over the ring F<sub>3</sub>d[ε],ε<sup>2</sup> = 0. In this work we will give some properties of the elliptic curve over the special ideal ring of characteristic 3, A<sub>3</sub> = F<sub>3</sub>d[ε],ε<sup>3</sup> = 0, and an application in cryptography. Our future work will focus on the study of the general case of these rings, which seem to be beneficial and interesting in cryptography, specially the one based on the identity (IBE) [6]. [7], [8].","PeriodicalId":157229,"journal":{"name":"2013 National Security Days (JNS3)","volume":"77 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2013-04-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":"{\"title\":\"Special ideal ring A3 and cryptography\",\"authors\":\"My Hachem Hassib, A. Chillali, M. A. Elomary\",\"doi\":\"10.1109/JNS3.2013.6595474\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In [1] and [2] we defined the elliptic curve over the ring F<sub>3</sub>d[ε],ε<sup>2</sup> = 0. In this work we will give some properties of the elliptic curve over the special ideal ring of characteristic 3, A<sub>3</sub> = F<sub>3</sub>d[ε],ε<sup>3</sup> = 0, and an application in cryptography. Our future work will focus on the study of the general case of these rings, which seem to be beneficial and interesting in cryptography, specially the one based on the identity (IBE) [6]. [7], [8].\",\"PeriodicalId\":157229,\"journal\":{\"name\":\"2013 National Security Days (JNS3)\",\"volume\":\"77 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2013-04-26\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2013 National Security Days (JNS3)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/JNS3.2013.6595474\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2013 National Security Days (JNS3)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/JNS3.2013.6595474","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
In [1] and [2] we defined the elliptic curve over the ring F3d[ε],ε2 = 0. In this work we will give some properties of the elliptic curve over the special ideal ring of characteristic 3, A3 = F3d[ε],ε3 = 0, and an application in cryptography. Our future work will focus on the study of the general case of these rings, which seem to be beneficial and interesting in cryptography, specially the one based on the identity (IBE) [6]. [7], [8].