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Volumn , Issue , 2003, Pages 181-187

Efficient multiplication in GF(pk) for elliptic curve cryptography

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; BIT ERROR RATE; COMPUTER HARDWARE; CURVE FITTING; POLYNOMIALS; SECURITY OF DATA;

EID: 0042062583     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper
Times cited : (16)

References (23)
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    • D. Bailey and C. Paar. Optimal extension fields for fast arithmetic in public-key algorithms. In H. Krawczyk, editor, Advances in Cryptography - CRYPTO'98, volume 1462 of Lecture Notes in Computer Science (LNCS), pages 472-485. Springer-Verlag, 1998.
    • (1998) Lecture Notes in Computer Science (LNCS) , vol.1462 , pp. 472-485
    • Bailey, D.1    Paar, C.2
  • 2
    • 0001224411 scopus 로고    scopus 로고
    • Efficient arithmetic in finite field extensions with application in elliptic curve cryptography
    • D. Bailey and C. Paar. Efficient arithmetic in finite field extensions with application in elliptic curve cryptography. Journal of Cryptology, 14(3): 153-176, 2001.
    • (2001) Journal of Cryptology , vol.14 , Issue.3 , pp. 153-176
    • Bailey, D.1    Paar, C.2
  • 3
    • 84946840347 scopus 로고    scopus 로고
    • Short signatures from the Weil pairing
    • Proceedings of Asiacrypt'01. Springer-Verlag
    • D. Boneh, H. Shacham, and B. Lynn. Short signatures from the Weil pairing. In proceedings of Asiacrypt'01, volume 2139 of Lecture Notes in Computer Science, pages 514-532. Springer-Verlag, 2001.
    • (2001) Lecture Notes in Computer Science , vol.2139 , pp. 514-532
    • Boneh, D.1    Shacham, H.2    Lynn, B.3
  • 8
    • 84946844750 scopus 로고    scopus 로고
    • A one round protocol for tripartite Diffie-Hellman
    • 4th International Algorithmic Number Theory Symposium, ANTS-IV, Springer-Verlag, July
    • A. Joux. A one round protocol for tripartite Diffie-Hellman. In 4th International Algorithmic Number Theory Symposium (ANTS-IV, volume 1838 of Lecture Notes in Computer Science, pages 385-393. Springer-Verlag, July 2000.
    • (2000) Lecture Notes in Computer Science , vol.1838 , pp. 385-393
    • Joux, A.1
  • 9
    • 0030291258 scopus 로고    scopus 로고
    • High throughput VLSI DSP using replicated finite rings
    • November
    • G. A. Jullien, W. Luo, and N. Wigley. High Throughput VLSI DSP Using Replicated Finite Rings. Journal of VLSI Signal Processing, 14(2):207-220, November 1996.
    • (1996) Journal of VLSI Signal Processing , vol.14 , Issue.2 , pp. 207-220
    • Jullien, G.A.1    Luo, W.2    Wigley, N.3
  • 11
    • 84968503742 scopus 로고
    • Elliptic curve cryptosystems
    • January
    • N. Koblitz. Elliptic curve cryptosystems. Mathematics of Computation, 48(177):203-209, January 1987.
    • (1987) Mathematics of Computation , vol.48 , Issue.177 , pp. 203-209
    • Koblitz, N.1
  • 12
    • 0042981058 scopus 로고
    • A course in number theory and cryptography
    • Springer-Verlag, second edition
    • N. Koblitz. A Course in Number Theory and Cryptography, volume 114 of Graduate texts in mathematics. Springer-Verlag, second edition, 1994.
    • (1994) Graduate Texts in Mathematics , vol.114
    • Koblitz, N.1
  • 15
    • 84966243285 scopus 로고
    • Modular multiplication without trial division
    • April
    • P. L. Montgomery. Modular multiplication without trial division. Mathematics of Computation, 44(170):519-521, April 1985.
    • (1985) Mathematics of Computation , vol.44 , Issue.170 , pp. 519-521
    • Montgomery, P.L.1
  • 19
    • 0026888035 scopus 로고
    • Modular multiplication hardware algorithms with a redundant representation and their application to RSA cryptosystem
    • July
    • N. Takagi and S. Yajima. Modular multiplication hardware algorithms with a redundant representation and their application to RSA cryptosystem. IEEE Transactions on Computers, 41(7):887-891, July 1992.
    • (1992) IEEE Transactions on Computers , vol.41 , Issue.7 , pp. 887-891
    • Takagi, N.1    Yajima, S.2
  • 20
    • 0019592222 scopus 로고
    • Large moduli multipliers for signal processing
    • Jul
    • F. J. Taylor. Large moduli multipliers for signal processing. IEEE Transactions on Circuits and Systems, C-28:731-736, Jul 1981.
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    • Taylor, F.J.1
  • 22
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    • An efficient tree architecture for modulo 2n + 1 multiplication
    • December
    • Z. Wang, G. A. Jullien, and W. C. Miller. An Efficient Tree Architecture for Modulo 2n + 1 Multiplication. Journal of VLSI Signal Processing, 14(3):241-248, December 1996.
    • (1996) Journal of VLSI Signal Processing , vol.14 , Issue.3 , pp. 241-248
    • Wang, Z.1    Jullien, G.A.2    Miller, W.C.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.