Paulo Realpe-Muñoz, V. Trujillo-Olaya, Jaime Velasco-Medina
{"title":"Design of elliptic curve cryptoprocessors over GF(2163) on Koblitz curves","authors":"Paulo Realpe-Muñoz, V. Trujillo-Olaya, Jaime Velasco-Medina","doi":"10.1109/LASCAS.2014.6820253","DOIUrl":null,"url":null,"abstract":"This paper presents the design of cryptoprocessors using two multipliers over finite field GF(2163) with digit-level processing. The arithmetic operations were implemented in hardware using Gaussian Normal Bases (GNB) representation and the scalar multiplication kP was performed on Koblitz curves using window-τNAF algorithm with w = 2, 4, 8 and 16. The cryptoprocessors were designed using VHDL description, synthesized on the Stratix-IV FPGA using Quartus II 12.0, and verified using SignalTAP II and Matlab. The simulation results show that the cryptoprocessors present a very good performance using low area. In this case, the computation times for calculating the scalar multiplication for w = 2, 4, 8 and 16 were 9.88, 7.37, 6.17 and 5.05 μs.","PeriodicalId":235336,"journal":{"name":"2014 IEEE 5th Latin American Symposium on Circuits and Systems","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2014-05-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"4","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"2014 IEEE 5th Latin American Symposium on Circuits and Systems","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/LASCAS.2014.6820253","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 4
Abstract
This paper presents the design of cryptoprocessors using two multipliers over finite field GF(2163) with digit-level processing. The arithmetic operations were implemented in hardware using Gaussian Normal Bases (GNB) representation and the scalar multiplication kP was performed on Koblitz curves using window-τNAF algorithm with w = 2, 4, 8 and 16. The cryptoprocessors were designed using VHDL description, synthesized on the Stratix-IV FPGA using Quartus II 12.0, and verified using SignalTAP II and Matlab. The simulation results show that the cryptoprocessors present a very good performance using low area. In this case, the computation times for calculating the scalar multiplication for w = 2, 4, 8 and 16 were 9.88, 7.37, 6.17 and 5.05 μs.