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Volumn 2727 LNCS, Issue , 2003, Pages 79-92

Generic GF(2m) arithmetic in software and its application to ECC

Author keywords

Binary fields; Dense field polynomials; Elliptic curves; Field multiplication; Field reduction; Koblitz curves

Indexed keywords

BINARY FIELDS; DENSE FIELD POLYNOMIALS; ELLIPTIC CURVES; FIELD MULTIPLICATION; FIELD REDUCTION; KOBLITZ CURVES; ELLIPTIC CURVE; ELLIPTIC CURVE CRYPTOGRAPHY(ECC); END-TO-END CONNECTIONS; HIGH PERFORMANCE DEVICES; PUBLIC KEY CRYPTOSYSTEMS;

EID: 35048823217     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/3-540-45067-X_8     Document Type: Conference Paper
Times cited : (16)

References (24)
  • 3
    • 0001788567 scopus 로고    scopus 로고
    • Constructive and Destructive Facets of Weil Descent on Elliptic Curves
    • P. Gaudry, F. Hess, and N. Smart. Constructive and Destructive Facets of Weil Descent on Elliptic Curves. Journal of Cryptology, 15, 19-46, 2002.
    • (2002) Journal of Cryptology , vol.15 , pp. 19-46
    • Gaudry, P.1    Hess, F.2    Smart, N.3
  • 4
    • 84958670390 scopus 로고    scopus 로고
    • Efficient algorithms for elliptic curve cryptosystems
    • Advances in Cryptology, CRYPTO '97, Springer-Verlag
    • J. Guajardo and C. Paar. Efficient algorithms for elliptic curve cryptosystems. Advances in Cryptology - CRYPTO '97, LNCS 1294, Springer-Verlag, 342-356, 1997.
    • (1997) LNCS , vol.1294 , pp. 342-356
    • Guajardo, J.1    Paar, C.2
  • 6
    • 0038670954 scopus 로고    scopus 로고
    • Software Implementation of Elliptic Curve Cryptography Over Binary Fields
    • Cryptographic Hardware and Embedded Systems, CHES 2000, Springer-Verlag
    • D. Hankerson, J. L. Hernandez and A. Menezes. Software Implementation of Elliptic Curve Cryptography Over Binary Fields. Cryptographic Hardware and Embedded Systems, CHES 2000, LNCS 1965, Springer-Verlag, 1-24, 2000.
    • (2000) LNCS 1965 , pp. 1-24
    • Hankerson, D.1    Hernandez, J.L.2    Menezes, A.3
  • 7
    • 0008321437 scopus 로고    scopus 로고
    • Standard Specifications for Public-Key Cryptography,
    • IEEE P1363
    • IEEE P1363. Standard Specifications for Public-Key Cryptography, 2000.
    • (2000)
  • 8
    • 1642466693 scopus 로고    scopus 로고
    • Information Technology - Security Techniques - Cryptographic Techniques Based on Elliptic Curves,
    • ISO/IEC 15946
    • ISO/IEC 15946. Information Technology - Security Techniques - Cryptographic Techniques Based on Elliptic Curves, 1999.
    • (1999)
  • 10
    • 84957354181 scopus 로고
    • Speeding up elliptic curve cryptosystems by using a signed binary window method
    • Advances in Cryptology, Crypto '92, Springer-Verlag
    • K. Koyama and Y. Tsuruoka. Speeding up elliptic curve cryptosystems by using a signed binary window method. Advances in Cryptology - Crypto '92, LNCS 740, Springer-Verlag, 345-357, 1993.
    • (1993) LNCS , vol.740 , pp. 345-357
    • Koyama, K.1    Tsuruoka, Y.2
  • 12
    • 84955368946 scopus 로고
    • More flexible exponentiation with precomputation
    • Advances in Cryptology, Crypto '94, Springer-Verlag
    • C. Lim and P. Lee. More flexible exponentiation with precomputation. Advances in Cryptology - Crypto '94, LNCS 839, Springer-Verlag, 95-107, 1994.
    • (1994) LNCS , vol.839 , pp. 95-107
    • Lim, C.1    Lee, P.2
  • 13
    • 84949224514 scopus 로고    scopus 로고
    • n)
    • Selected Areas in Crytography, SAC '98, Springer-Verlag
    • n). Selected Areas in Crytography - SAC '98, LNCS 1556, Springer-Verlag, 201-212, 1999.
    • (1999) LNCS , vol.1556 , pp. 201-212
    • López, J.1    Dahab, R.2
  • 14
    • 84947913604 scopus 로고    scopus 로고
    • n) without Precomputation
    • Cryptographic Hardware and Embedded Systems- CHES '99, Springer-Verlag
    • n) without Precomputation, Cryptographic Hardware and Embedded Systems- CHES '99, LNCS 1717, Springer-Verlag, 316-327, 1999.
    • (1999) LNCS 1717 , pp. 316-327
    • López, J.1    Dahab, R.2
  • 15
    • 84947777892 scopus 로고    scopus 로고
    • m
    • Indocrypt 2000, Springer-Verlag
    • m. Indocrypt 2000, LNCS 1977, Springer-Verlag, 203-212, 2000.
    • (2000) LNCS 1977 , pp. 203-212
    • López, J.1    Dahab, R.2
  • 16
    • 0013145165 scopus 로고    scopus 로고
    • National Institute of Standards and Technolgy, May 1999, available from
    • National Institute of Standards and Technolgy. Recommended Elliptic Curves for Federal Government Use, May 1999, available from http://csrc.nist.gov/encryption.
    • Recommended Elliptic Curves for Federal Government Use
  • 17
    • 63449123922 scopus 로고    scopus 로고
    • OpenSSL
    • OpenSSL, http://www.openssl.org.
  • 18
    • 84957657892 scopus 로고
    • Fast Key Exchange with Elliptic Curve Systems
    • Advances in Cryptology, Crypto '95, Springer-Verlag
    • R. Schroeppel, H. Orman, S. O'Malley and O. Spatscheck. Fast Key Exchange with Elliptic Curve Systems. Advances in Cryptology - Crypto '95, LNCS 963, Springer-Verlag, 43-56, 1995.
    • (1995) LNCS , vol.963 , pp. 43-56
    • Schroeppel, R.1    Orman, H.2    O'Malley, S.3    Spatscheck, O.4
  • 20
    • 4244026973 scopus 로고    scopus 로고
    • From Euclid's GCD to Montgomery Multiplication to the Great Divide
    • preprint
    • S. Shantz. From Euclid's GCD to Montgomery Multiplication to the Great Divide, preprint, 2000.
    • (2000)
    • Shantz, S.1
  • 22
    • 0010029876 scopus 로고    scopus 로고
    • Efficient Arithmetic on Koblitz Curves
    • J. A. Solinas. Efficient Arithmetic on Koblitz Curves. Designs, Codes and Cryptography, 19(2/3), 195-249, 2000.
    • (2000) Designs, Codes and Cryptography , vol.19 , Issue.2-3 , pp. 195-249
    • Solinas, J.A.1
  • 23
    • 84958764449 scopus 로고    scopus 로고
    • Elliptic Curve Cryptography on a Palm OS Device
    • The 6th Australasian Conference on Information Security and Privacy ACISP 2001, Springer-Verlag
    • A. Weimerskirch, C. Paar, and S. Chang Shantz. Elliptic Curve Cryptography on a Palm OS Device. The 6th Australasian Conference on Information Security and Privacy (ACISP 2001), LNCS 2119, Springer-Verlag, 502-513, 2001.
    • (2001) LNCS , vol.2119 , pp. 502-513
    • Weimerskirch, A.1    Paar, C.2    Chang Shantz, S.3
  • 24
    • 14844364694 scopus 로고    scopus 로고
    • Generalizations of the Karatsuba Algorithm for Polynomial Multiplication
    • Technical Report, Ruhr-University Bochum, Available from
    • A. Weimerskirch and C. Paar. Generalizations of the Karatsuba Algorithm for Polynomial Multiplication. Technical Report, Ruhr-University Bochum, 2002, Available from http://www.crypto.rub.de.
    • (2002)
    • Weimerskirch, A.1    Paar, C.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.