{"title":"椭圆曲线上m-扭转点的矢量分解问题","authors":"N. Kiyavash, I. Duursma","doi":"10.1109/ISIT.2004.1365582","DOIUrl":null,"url":null,"abstract":"The paper presents the vector decomposition problem (VDP) for m-torsion points on an elliptic curve. We prove that any elliptic curve for which the sufficient conditions hold is bound to be supersingular.","PeriodicalId":269907,"journal":{"name":"International Symposium onInformation Theory, 2004. ISIT 2004. Proceedings.","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2004-10-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":"{\"title\":\"On the vector decomposition problem for m-torsion points on an elliptic curve\",\"authors\":\"N. Kiyavash, I. Duursma\",\"doi\":\"10.1109/ISIT.2004.1365582\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The paper presents the vector decomposition problem (VDP) for m-torsion points on an elliptic curve. We prove that any elliptic curve for which the sufficient conditions hold is bound to be supersingular.\",\"PeriodicalId\":269907,\"journal\":{\"name\":\"International Symposium onInformation Theory, 2004. ISIT 2004. Proceedings.\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2004-10-20\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"International Symposium onInformation Theory, 2004. ISIT 2004. Proceedings.\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ISIT.2004.1365582\",\"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 Symposium onInformation Theory, 2004. ISIT 2004. Proceedings.","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ISIT.2004.1365582","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
On the vector decomposition problem for m-torsion points on an elliptic curve
The paper presents the vector decomposition problem (VDP) for m-torsion points on an elliptic curve. We prove that any elliptic curve for which the sufficient conditions hold is bound to be supersingular.