{"title":"Elliptic curve and Lattice cryptosystem","authors":"M. Elhassani, A. Chillali, A. Mouhib","doi":"10.1109/ISACS48493.2019.9068885","DOIUrl":null,"url":null,"abstract":"In this work, we will present a new hybrid cryptography method based on two hard problems: 1- The problem of the discrete logarithm on an elliptic curve defined on a finite local ring. 2- The closest vector problem in lattice and the conjugate problem on square matrices. At first, we will make the exchange of keys to the Diffie-Hellman. The encryption of a message is done with a bad basis of a lattice.","PeriodicalId":312521,"journal":{"name":"2019 International Conference on Intelligent Systems and Advanced Computing Sciences (ISACS)","volume":"18 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2019-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"2019 International Conference on Intelligent Systems and Advanced Computing Sciences (ISACS)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ISACS48493.2019.9068885","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 1
Abstract
In this work, we will present a new hybrid cryptography method based on two hard problems: 1- The problem of the discrete logarithm on an elliptic curve defined on a finite local ring. 2- The closest vector problem in lattice and the conjugate problem on square matrices. At first, we will make the exchange of keys to the Diffie-Hellman. The encryption of a message is done with a bad basis of a lattice.
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