{"title":"GF(p)上椭圆曲线处理器的硬件实现","authors":"S. Yalcin, L. Batina, B. Preneel, J. Vandewalle","doi":"10.1109/ASAP.2003.1212866","DOIUrl":null,"url":null,"abstract":"We describe a hardware implementation of an arithmetic processor which is efficient for bit-lengths suitable for both commonly used types of public key cryptography (PKC), i.e., elliptic curve (EC) and RSA cryptosystems. Montgomery modular multiplication in a systolic array architecture is used for modular multiplication. The processor consists of special operational blocks for Montgomery modular multiplication, modular addition/subtraction, EC point doubling/addition, modular multiplicative inversion, EC point multiplier, projective to affine coordinates conversion and Montgomery to normal representation conversion.","PeriodicalId":261592,"journal":{"name":"Proceedings IEEE International Conference on Application-Specific Systems, Architectures, and Processors. ASAP 2003","volume":"84 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2003-06-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"134","resultStr":"{\"title\":\"Hardware implementation of an elliptic curve processor over GF(p)\",\"authors\":\"S. Yalcin, L. Batina, B. Preneel, J. Vandewalle\",\"doi\":\"10.1109/ASAP.2003.1212866\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We describe a hardware implementation of an arithmetic processor which is efficient for bit-lengths suitable for both commonly used types of public key cryptography (PKC), i.e., elliptic curve (EC) and RSA cryptosystems. Montgomery modular multiplication in a systolic array architecture is used for modular multiplication. The processor consists of special operational blocks for Montgomery modular multiplication, modular addition/subtraction, EC point doubling/addition, modular multiplicative inversion, EC point multiplier, projective to affine coordinates conversion and Montgomery to normal representation conversion.\",\"PeriodicalId\":261592,\"journal\":{\"name\":\"Proceedings IEEE International Conference on Application-Specific Systems, Architectures, and Processors. ASAP 2003\",\"volume\":\"84 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2003-06-24\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"134\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Proceedings IEEE International Conference on Application-Specific Systems, Architectures, and Processors. ASAP 2003\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ASAP.2003.1212866\",\"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 International Conference on Application-Specific Systems, Architectures, and Processors. ASAP 2003","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ASAP.2003.1212866","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Hardware implementation of an elliptic curve processor over GF(p)
We describe a hardware implementation of an arithmetic processor which is efficient for bit-lengths suitable for both commonly used types of public key cryptography (PKC), i.e., elliptic curve (EC) and RSA cryptosystems. Montgomery modular multiplication in a systolic array architecture is used for modular multiplication. The processor consists of special operational blocks for Montgomery modular multiplication, modular addition/subtraction, EC point doubling/addition, modular multiplicative inversion, EC point multiplier, projective to affine coordinates conversion and Montgomery to normal representation conversion.