{"title":"多核系统上的Montgomery模乘法算法","authors":"Junfeng Fan, K. Sakiyama, I. Verbauwhede","doi":"10.1109/SIPS.2007.4387555","DOIUrl":null,"url":null,"abstract":"In this paper, we investigate the efficient software implementations of theMontgomery modular multiplication algorithm on amulti-core system. AHW/SW co-design technique is used to find the efficient system architecture and the instruction scheduling method. We first implement the Montgomery modular multiplication on a multi-core systemwith general purpose cores. We then speed up it by adopting the Multiply-Accumulate (MAC) operation in each core. As a result, the performance can be improved by a factor of 1.53 and 2.15 when 256-bit and 1024-bit Montgomery modular multiplication being performed, respectively.","PeriodicalId":93225,"journal":{"name":"Proceedings. IEEE Workshop on Signal Processing Systems (2007-2014)","volume":"22 1","pages":"261-266"},"PeriodicalIF":0.0000,"publicationDate":"2007-11-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"37","resultStr":"{\"title\":\"Montgomery Modular Multiplication Algorithm on Multi-Core Systems\",\"authors\":\"Junfeng Fan, K. Sakiyama, I. Verbauwhede\",\"doi\":\"10.1109/SIPS.2007.4387555\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, we investigate the efficient software implementations of theMontgomery modular multiplication algorithm on amulti-core system. AHW/SW co-design technique is used to find the efficient system architecture and the instruction scheduling method. We first implement the Montgomery modular multiplication on a multi-core systemwith general purpose cores. We then speed up it by adopting the Multiply-Accumulate (MAC) operation in each core. As a result, the performance can be improved by a factor of 1.53 and 2.15 when 256-bit and 1024-bit Montgomery modular multiplication being performed, respectively.\",\"PeriodicalId\":93225,\"journal\":{\"name\":\"Proceedings. IEEE Workshop on Signal Processing Systems (2007-2014)\",\"volume\":\"22 1\",\"pages\":\"261-266\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2007-11-21\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"37\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Proceedings. IEEE Workshop on Signal Processing Systems (2007-2014)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/SIPS.2007.4387555\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings. IEEE Workshop on Signal Processing Systems (2007-2014)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/SIPS.2007.4387555","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Montgomery Modular Multiplication Algorithm on Multi-Core Systems
In this paper, we investigate the efficient software implementations of theMontgomery modular multiplication algorithm on amulti-core system. AHW/SW co-design technique is used to find the efficient system architecture and the instruction scheduling method. We first implement the Montgomery modular multiplication on a multi-core systemwith general purpose cores. We then speed up it by adopting the Multiply-Accumulate (MAC) operation in each core. As a result, the performance can be improved by a factor of 1.53 and 2.15 when 256-bit and 1024-bit Montgomery modular multiplication being performed, respectively.
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