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Volumn 1841, Issue , 2000, Pages 59-73

Efficient scalar multiplications on elliptic curves without repeated doublings and their practical performance

Author keywords

Coordinate system; Elliptic curve cryptosystems; Implementation; Scalar multiplication; Window method

Indexed keywords

ALGORITHMS; SECURITY OF DATA;

EID: 23044517520     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/10718964_6     Document Type: Conference Paper
Times cited : (10)

References (17)
  • 1
    • 0000267548 scopus 로고
    • Sequences of numbers generated by addition in formal groups and new primality and factorization tests
    • D. V. Chudnovsky and G. V. Chudnovsky, "Sequences of numbers generated by addition in formal groups and new primality and factorization tests", Advances in Applied Math., 7 (1986), 385-434.
    • (1986) Advances in Applied Math , vol.7 , pp. 385-434
    • Chudnovsky, D.V.1    Chudnovsky, G.V.2
  • 2
    • 84947743704 scopus 로고    scopus 로고
    • Efficient Elliptic Curve Exponentiation Using Mixed Coordinates
    • Springer-Verlag
    • H. Cohen, A. Mlyaji and T. Ono, "Efficient Elliptic Curve Exponentiation Using Mixed Coordinates", Advances in Cryptology - ASIACRYPT'98, LNCS, 1514 (1998), Springer-Verlag, 51-65.
    • (1998) Advances in Cryptology - ASIACRYPT'98, LNCS , vol.1514 , pp. 51-65
    • Cohen, H.1    Mlyaji, A.2    Ono, T.3
  • 3
    • 0000490812 scopus 로고    scopus 로고
    • A survey of fast exponentiation methods
    • D. M. Gordon, "A survey of fast exponentiation methods", Journal of Algorithms, 27 (1998), 129-146.
    • (1998) Journal of Algorithms , vol.27 , pp. 129-146
    • Gordon, D.M.1
  • 4
    • 84958670390 scopus 로고    scopus 로고
    • Efficient Algorithms for Elliptic Curve Cryptosystems
    • Springer-Verlag
    • J. Guajardo and C. Paar, "Efficient Algorithms for Elliptic Curve Cryptosystems", Advances in Cryptology – CRYPTO’97, LNCS, 1294 (1997), Springer-Verlag, 342-356.
    • (1997) Advances in Cryptology – CRYPTO’97, LNCS , vol.1294 , pp. 342-356
    • Guajardo, J.1    Paar, C.2
  • 5
    • 0010215487 scopus 로고    scopus 로고
    • Direct Computation for Elliptic Curve Cryptosystems
    • Springer-Verlag
    • Y. Han and P.C. Tan, "Direct Computation for Elliptic Curve Cryptosystems", Pre-proceedings of CHES'99, (1999), Springer-Verlag, 328-340.
    • (1999) Pre-Proceedings of CHES'99 , pp. 328-340
    • Han, Y.1    Tan, P.C.2
  • 6
    • 84959003744 scopus 로고    scopus 로고
    • IEEE P1363/D11 (Draft Version 11)
    • IEEE P1363/D11 (Draft Version 11), (1999), http://grouper.ieee.org/groups/1363/
    • (1999)
  • 8
    • 84968503742 scopus 로고
    • Elliptic curve cryptosystems
    • N. Kößlitz, "Elliptic curve cryptosystems", Mathematics of Computation, 48 (1987), 203-209.
    • (1987) Mathematics of Computation , vol.48 , pp. 203-209
    • Kößlitz, N.1
  • 9
    • 84957354181 scopus 로고
    • Speeding up Elliptic Cryptosystems by Using a Signed Binary Window Method
    • Springer-Verlag
    • K. Koyama and Y. Tsuruoka, "Speeding up Elliptic Cryptosystems by Using a Signed Binary Window Method", Advances in Cryptology - CRYPTO'92, LNCS, 740 (1993), Springer-Verlag, 345-357.
    • (1993) Advances in Cryptology - CRYPTO'92, LNCS , vol.740 , pp. 345-357
    • Koyama, K.1    Tsuruoka, Y.2
  • 10
    • 0002989263 scopus 로고
    • Euclid's Algorithm for Large Numbers
    • D. H. Lehmer, "Euclid's Algorithm for Large Numbers", American Mathematical Monthly, 45 (1938), 227-233.
    • (1938) American Mathematical Monthly , vol.45 , pp. 227-233
    • Lehmer, D.H.1
  • 11
    • 85015402934 scopus 로고
    • Uses of elliptic curves in cryptography
    • Springer-Verlag
    • V. Miller, "Uses of elliptic curves in cryptography", Advances in Cryptology - CRYPTO'85, LNCS, 218 (1986), Springer-Verlag, 417-426.
    • (1986) Advances in Cryptology - CRYPTO'85, LNCS , vol.218 , pp. 417-426
    • Miller, V.1
  • 16
    • 84958649729 scopus 로고    scopus 로고
    • An Improved Algorithm for Arithmetic on a Family of Elliptic Curves
    • SpringerVerlag
    • J.A. Solinas, "An Improved Algorithm for Arithmetic on a Family of Elliptic Curves", Advances in Cryptology - CRYPTO'97, LNCS, 1294 (1997), SpringerVerlag, 357-371.
    • (1997) Advances in Cryptology - CRYPTO'97, LNCS , vol.1294 , pp. 357-371
    • Solinas, J.A.1
  • 17
    • 84947730530 scopus 로고    scopus 로고
    • On the Performance of Signature Schemes Based on Elliptic Curves
    • Springer-Verlag
    • E. De Win, S. Mister, B. Preneel and M. Wiener, "On the Performance of Signature Schemes Based on Elliptic Curves", Algorithmic Number Theory III, LNCS, 1423 (1998), Springer-Verlag, 252-266.
    • (1998) Algorithmic Number Theory III, LNCS , vol.1423 , pp. 252-266
    • De Win, E.1    Mister, S.2    Preneel, B.3    Wiener, M.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.