{"title":"利用多项式和高斯正态基反演GF(2m)的硬件结构","authors":"V. Trujillo-Olaya, Jaime Velasco-Medina","doi":"10.1109/ANDESCON.2010.5633137","DOIUrl":null,"url":null,"abstract":"This paper presents the hardware architectures for inversion in GF(2m), in order to be used in elliptic curve cryptosystems. In this case, the Extended Euclidean Algorithm (EEA) and the Itoh-Tsujii Algorithm (ITA) are implemented. The simulation were carried out using Quartus II v. 9,0 and the design were synthesized on the Stratix III EP3SE50F780C2. The simulation results show a very good performance using small area.","PeriodicalId":359559,"journal":{"name":"2010 IEEE ANDESCON","volume":"57 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2010-11-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"5","resultStr":"{\"title\":\"Hardware architectures for inversion in GF(2m) using polynomial and gaussian normal basis\",\"authors\":\"V. Trujillo-Olaya, Jaime Velasco-Medina\",\"doi\":\"10.1109/ANDESCON.2010.5633137\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This paper presents the hardware architectures for inversion in GF(2m), in order to be used in elliptic curve cryptosystems. In this case, the Extended Euclidean Algorithm (EEA) and the Itoh-Tsujii Algorithm (ITA) are implemented. The simulation were carried out using Quartus II v. 9,0 and the design were synthesized on the Stratix III EP3SE50F780C2. The simulation results show a very good performance using small area.\",\"PeriodicalId\":359559,\"journal\":{\"name\":\"2010 IEEE ANDESCON\",\"volume\":\"57 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2010-11-11\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"5\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2010 IEEE ANDESCON\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ANDESCON.2010.5633137\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2010 IEEE ANDESCON","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ANDESCON.2010.5633137","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 5
摘要
本文提出了用于椭圆曲线密码系统的GF(2m)反演的硬件结构。在这种情况下,实现了扩展欧几里得算法(EEA)和Itoh-Tsujii算法(ITA)。采用Quartus II v. 9,0进行仿真,并在Stratix III EP3SE50F780C2上进行设计合成。仿真结果表明,该方法在小面积下具有很好的性能。
Hardware architectures for inversion in GF(2m) using polynomial and gaussian normal basis
This paper presents the hardware architectures for inversion in GF(2m), in order to be used in elliptic curve cryptosystems. In this case, the Extended Euclidean Algorithm (EEA) and the Itoh-Tsujii Algorithm (ITA) are implemented. The simulation were carried out using Quartus II v. 9,0 and the design were synthesized on the Stratix III EP3SE50F780C2. The simulation results show a very good performance using small area.