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Two-prime RSA immune cryptosystem and its FPGA implementation

Published: 17 April 2005 Publication History

Abstract

In this paper, an efficient immunity method is proposed for two-prime RSA cryptosystem against hardware fault attack. The proposed system has more immunity than the previous system and is targeted for FPGA implementation. For the 32-bit signing case, the proposed method is 15% faster than the previous design while requiring only 70% of the hardware resource.

References

[1]
R. Rivest, A. Shamir, and L. Adleman, "A method for obtaining digital signatures and public-key cryptosystems," Communications of the ACM, vol. 21, pp. 120--126, Feb. 1978.
[2]
J. Grossschadl, "The Chinese Remainder Theorem and its application in a high-speed RSA crypto chip," Computer Security Applications, 16th Annual Conference, New Orleans, USA, Dec. 2000, pp. 384--393.
[3]
RSA Laboratories, "PKCS #1 v2.0 Amendment 1: Multi-Prime RSA," July 2000. Available: ftp://ftp.rsasecurity.com/pub/pkcs/pkcs-1/pkcs-1v2-0a1.pdf
[4]
Krishnamurthy, Y. Tang, C. Xu and Y. Wang, "An Efficient Implementation of Multi-Prime RSA on Dsp Processor," IEEE Int. Con. on Acoustics, Speech, & Signal Processing, vol. 2, pp 413--416, April 2003.
[5]
C.-H. Wu, J.-H. Hong and C. W. Wu, "RSA cryptosystem design based on the Chinese Remainder Theorem," Proceedings of the ASP-DAC 2001, Las Vegas, USA, Jan-Feb. 2001, pp. 391--395.
[6]
A. Shamir, "How to Check Modular Exponentiation," EUROCRYPT '97, May 1997.
[7]
S. Yen, S. Kim, S. Lim and S. Moon, "RSA Speedup with Chinese Remainder Theorem Immune against Hardware Fault Cryptanalysis," IEEE Transactions on computers, vol. 52, pp 461--472, April 2003.

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  1. Two-prime RSA immune cryptosystem and its FPGA implementation

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      cover image ACM Conferences
      GLSVLSI '05: Proceedings of the 15th ACM Great Lakes symposium on VLSI
      April 2005
      518 pages
      ISBN:1595930574
      DOI:10.1145/1057661
      • General Chair:
      • John Lach,
      • Program Chairs:
      • Gang Qu,
      • Yehea Ismail
      Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than ACM must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected]

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      New York, NY, United States

      Publication History

      Published: 17 April 2005

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      Author Tags

      1. FPGA
      2. RSA cryptography
      3. hardware faulty attack
      4. immunity analysis

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      GLSVLSI05: Great Lakes Symposium on VLSI 2005
      April 17 - 19, 2005
      Illinois, Chicago, USA

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      Overall Acceptance Rate 312 of 1,156 submissions, 27%

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