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Volumn 2259, Issue , 2001, Pages 151-164

Fast generation of pairs (k, [k]P) for koblitz elliptic curves

Author keywords

Accelerated signature schemes; Binary anomalous curve; Elliptic curve; Pseudo random generators; Scalar multiplication

Indexed keywords

AUTHENTICATION; GEOMETRY;

EID: 84949200440     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/3-540-45537-x_12     Document Type: Conference Paper
Times cited : (22)

References (19)
  • 1
    • 84957610823 scopus 로고    scopus 로고
    • Speeding up discrete log and factoring based schemes via precomputations
    • Springer Verlag
    • V. Boyko, M. Peinado, and R. Venkatesan. Speeding up discrete log and factoring based schemes via precomputations. In Advances in Cryptology - Eurocrypt’98, pages 221-235. Springer Verlag, 1998.
    • (1998) Advances in Cryptology - Eurocrypt’98 , pp. 221-235
    • Boyko, V.1    Peinado, M.2    Venkatesan, R.3
  • 2
    • 0000490812 scopus 로고    scopus 로고
    • A survey of fast exponentiation methods
    • D.M. Gordon. A survey of fast exponentiation methods. Journal of Algorithms, 27:129-146, 1998.
    • (1998) Journal of Algorithms , vol.27 , pp. 129-146
    • Gordon, D.M.1
  • 4
    • 84968503742 scopus 로고
    • Elliptic curve cryptosystems
    • N. Koblitz. Elliptic curve cryptosystems. Mathematics of Computation, 48:203-209, 1987.
    • (1987) Mathematics of Computation , vol.48 , pp. 203-209
    • Koblitz, N.1
  • 5
    • 85024567680 scopus 로고
    • CM-curves with good cryptographic properties
    • In Joan Feigenbaum, editor, Berlin, Springer- Verlag. Lecture Notes in Computer Science Volume 576
    • N. Koblitz. CM-curves with good cryptographic properties. In Joan Feigenbaum, editor, Advances in Cryptology - Crypto’91, pages 279-287, Berlin, 1991. Springer- Verlag. Lecture Notes in Computer Science Volume 576.
    • (1991) Advances in Cryptology - Crypto’91 , pp. 279-287
    • Koblitz, N.1
  • 6
    • 84957797355 scopus 로고
    • Efficient multiplication on certain non-supersingular elliptic curves
    • Springer Verlag
    • W. Meier and O. Staffelbach. Efficient multiplication on certain non-supersingular elliptic curves. In Advances in Cryptology - Crypto’92, volume LNCS 740, pages 333-344. Springer Verlag, 1993.
    • (1993) Advances in Cryptology - Crypto’92, Volume LNCS 740 , pp. 333-344
    • Meier, W.1    Staffelbach, O.2
  • 8
    • 85015402934 scopus 로고
    • Use of elliptic curves in cryptography
    • Springer Verlag, Springer Verlag
    • V.S. Miller. Use of elliptic curves in cryptography. In Springer Verlag, editor, Proceedings of Crypto 85, volume LNCS 218, pages 417-426. Springer Verlag, 1986.
    • (1986) , Editor, Proceedings of Crypto 85, Volume LNCS 218 , pp. 417-426
    • Miller, V.S.1
  • 9
    • 0000266095 scopus 로고
    • Speeding up the computation of an elliptic curve using addition-subtraction chains
    • F. Morain and J. Olivos. Speeding up the computation of an elliptic curve using addition-subtraction chains. Inform. Theory Appl., 24:531-543, 1990.
    • (1990) Inform. Theory Appl. , vol.24 , pp. 531-543
    • Morain, F.1    Olivos, J.2
  • 11
    • 84957072857 scopus 로고    scopus 로고
    • The hardness of the hidden subset sum problem and its cryptographic implications
    • In Michael Wiener, editor, Berlin, Springer-Verlag. Lecture Notes in Computer Science
    • P. Nguyen and J. Stern. The hardness of the hidden subset sum problem and its cryptographic implications. In Michael Wiener, editor, Advances in Cryptology - Crypto’99, pages 31-46, Berlin, 1999. Springer-Verlag. Lecture Notes in Computer Science.
    • (1999) Advances in Cryptology - Crypto’99 , pp. 31-46
    • Nguyen, P.1    Stern, J.2
  • 14
    • 35048859177 scopus 로고
    • On the security of the Schnorr scheme using preprocessing
    • In DonaldW. Davies, editor, Berlin, Springer-Verlag. Lecture Notes in Computer Science Volume 547
    • P. de Rooij. On the security of the Schnorr scheme using preprocessing. In DonaldW. Davies, editor, Advances in Cryptology - EuroCrypt’91, pages 71-80, Berlin, 1991. Springer-Verlag. Lecture Notes in Computer Science Volume 547.
    • (1991) Advances in Cryptology - EuroCrypt’91 , pp. 71-80
    • de Rooij, P.1
  • 15
    • 84955582184 scopus 로고
    • On Schnorr’s preprocessing for digital signature schemes
    • In Tor Helleseth, editor, Berlin, Springer-Verlag. Lecture Notes in Computer Science Volume 765
    • P. de Rooij. On Schnorr’s preprocessing for digital signature schemes. In Tor Helleseth, editor, Advances in Cryptology - EuroCrypt’93, pages 435-439, Berlin, 1993. Springer-Verlag. Lecture Notes in Computer Science Volume 765.
    • (1993) Advances in Cryptology - EuroCrypt’93 , pp. 435-439
    • de Rooij, P.1
  • 16
    • 84948971456 scopus 로고
    • Efficient exponentiation using precomputation and vector addition chains
    • In Alfredo De Santis, editor, Berlin, Springer-Verlag. Lecture Notes in Computer Science Volume 950
    • P. de Rooij. Efficient exponentiation using precomputation and vector addition chains. In Alfredo De Santis, editor, Advances in Cryptology - EuroCrypt’94, pages 389-399, Berlin, 1995. Springer-Verlag. Lecture Notes in Computer Science Volume 950.
    • (1995) Advances in Cryptology - EuroCrypt’94 , pp. 389-399
    • de Rooij, P.1
  • 17
    • 85032873931 scopus 로고
    • Efficient identification and signatures for smart cards
    • In Jean- Jacques Quisquater and Joos Vandewalle, editors, Berlin, Springer-Verlag. Lecture Notes in Computer Science Volume 434
    • C. P. Schnorr. Efficient identification and signatures for smart cards. In Jean- Jacques Quisquater and Joos Vandewalle, editors, Advances in Cryptology - Euro- Crypt’89, pages 688-689, Berlin, 1989. Springer-Verlag. Lecture Notes in Computer Science Volume 434.
    • (1989) Advances in Cryptology - Euro- Crypt’89 , pp. 688-689
    • Schnorr, C.P.1
  • 18
    • 12344258539 scopus 로고
    • Efficient identification and signatures for smart cards
    • C. P. Schnorr. Efficient identification and signatures for smart cards. Journal of Cryptology, 4:161-174, 1991.
    • (1991) Journal of Cryptology , vol.4 , pp. 161-174
    • Schnorr, C.P.1
  • 19
    • 84958649729 scopus 로고    scopus 로고
    • An improved algorithm for arithmetic on a family of elliptic curves
    • In BurtKaliski, editor, Berlin, Springer-Verlag. Lecture Notes in Computer Science Volume 1294
    • J.A. Solinas. An improved algorithm for arithmetic on a family of elliptic curves. In BurtKaliski, editor, Advances in Cryptology - Crypto’97, pages 357-371, Berlin, 1997. Springer-Verlag. Lecture Notes in Computer Science Volume 1294.
    • (1997) Advances in Cryptology - Crypto’97 , pp. 357-371
    • Solinas, J.A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.