{"title":"RSA密码系统中booth编码Montgomery模块的设计方法","authors":"Jye-Jong Leu, A. Wu","doi":"10.1109/ISCAS.2000.857438","DOIUrl":null,"url":null,"abstract":"In this paper, a design methodology for the design of a Montgomery module is proposed. We summarize the result in pseudo C-like codes and call it Booth-encoded Montgomery modular multiplication algorithm. Using this algorithm, iteration number is reduced to about n/2 in each Montgomery operation. In addition, we apply the folding and unfolding techniques to shorten the critical path. Finally, we propose the 4 bit-digit-serial pipelined architecture to process RSA encryption/decryption in a more efficient way. The speed of the proposed algorithm is approximately 1.7 times that of most RSA VLSI designs based on original Montgomery modular multiplication algorithm.","PeriodicalId":6422,"journal":{"name":"2000 IEEE International Symposium on Circuits and Systems. Emerging Technologies for the 21st Century. Proceedings (IEEE Cat No.00CH36353)","volume":"116 7 1","pages":"357-360 vol.5"},"PeriodicalIF":0.0000,"publicationDate":"2000-05-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"11","resultStr":"{\"title\":\"Design methodology for Booth-encoded Montgomery module design for RSA cryptosystem\",\"authors\":\"Jye-Jong Leu, A. Wu\",\"doi\":\"10.1109/ISCAS.2000.857438\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, a design methodology for the design of a Montgomery module is proposed. We summarize the result in pseudo C-like codes and call it Booth-encoded Montgomery modular multiplication algorithm. Using this algorithm, iteration number is reduced to about n/2 in each Montgomery operation. In addition, we apply the folding and unfolding techniques to shorten the critical path. Finally, we propose the 4 bit-digit-serial pipelined architecture to process RSA encryption/decryption in a more efficient way. The speed of the proposed algorithm is approximately 1.7 times that of most RSA VLSI designs based on original Montgomery modular multiplication algorithm.\",\"PeriodicalId\":6422,\"journal\":{\"name\":\"2000 IEEE International Symposium on Circuits and Systems. Emerging Technologies for the 21st Century. Proceedings (IEEE Cat No.00CH36353)\",\"volume\":\"116 7 1\",\"pages\":\"357-360 vol.5\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2000-05-28\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"11\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2000 IEEE International Symposium on Circuits and Systems. Emerging Technologies for the 21st Century. Proceedings (IEEE Cat No.00CH36353)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ISCAS.2000.857438\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2000 IEEE International Symposium on Circuits and Systems. Emerging Technologies for the 21st Century. Proceedings (IEEE Cat No.00CH36353)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ISCAS.2000.857438","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Design methodology for Booth-encoded Montgomery module design for RSA cryptosystem
In this paper, a design methodology for the design of a Montgomery module is proposed. We summarize the result in pseudo C-like codes and call it Booth-encoded Montgomery modular multiplication algorithm. Using this algorithm, iteration number is reduced to about n/2 in each Montgomery operation. In addition, we apply the folding and unfolding techniques to shorten the critical path. Finally, we propose the 4 bit-digit-serial pipelined architecture to process RSA encryption/decryption in a more efficient way. The speed of the proposed algorithm is approximately 1.7 times that of most RSA VLSI designs based on original Montgomery modular multiplication algorithm.