메뉴 건너뛰기




Volumn 21, Issue 1, 1999, Pages 27-38

Scalar multiplication on elliptic curves by Frobenius expansions

Author keywords

[No Author keywords available]

Indexed keywords

CONFORMAL MAPPING; CRYPTOGRAPHY; NUMERICAL METHODS; POLYNOMIALS;

EID: 0032635116     PISSN: 12256463     EISSN: None     Source Type: None    
DOI: 10.4218/etrij.99.0199.0102     Document Type: Article
Times cited : (5)

References (16)
  • 1
    • 13044264354 scopus 로고    scopus 로고
    • Two Efficient Algorithms for Arithmetic of Elliptic Curves Using Frobenius Map
    • Jung Hee Cheon, Sungmo Park, Sangwoo Park, and Daeho Kim, "Two Efficient Algorithms for Arithmetic of Elliptic Curves Using Frobenius Map," Proc. of PKC'98, 1998, pp. 160-168.
    • (1998) Proc. of PKC'98 , pp. 160-168
    • Cheon, J.H.1    Park, S.2    Park, S.3    Kim, D.4
  • 2
    • 84958670390 scopus 로고    scopus 로고
    • Efficient Algorithms for Elliptic Curve Cryptosystems
    • Springer-Verlag
    • J. Guajardo and C. Paar, "Efficient Algorithms for Elliptic Curve Cryptosystems," Proc. Crypto '97, Springer-Verlag, 1997, pp. 342-356.
    • (1997) Proc. Crypto '97 , pp. 342-356
    • Guajardo, J.1    Paar, C.2
  • 3
    • 21344492759 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," Proc. Crypto'92, Springer-Verlag, 1993, pp. 43-56.
    • (1993) Proc. Crypto'92 , pp. 43-56
    • Koyama, K.1    Tsuruoka, Y.2
  • 5
    • 85024567680 scopus 로고
    • CM Curves with Good Cryptographic Properties
    • Springer-Verlag
    • N. Koblitz, "CM Curves with Good Cryptographic Properties," Proc. Crypto '91, Springer-Verlag, 1992, pp. 279-287.
    • (1992) Proc. Crypto '91 , pp. 279-287
    • Koblitz, N.1
  • 6
    • 0000112683 scopus 로고
    • Elliptic Curve Cryptosystems
    • N. Koblitz, "Elliptic Curve Cryptosystems," Math. of Comp., Vol. 49, 1987, pp. 203-209.
    • (1987) Math. of Comp. , vol.49 , pp. 203-209
    • Koblitz, N.1
  • 7
    • 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," Proc. Crypto '92, Springer-Verlag, 1993, pp. 333-344.
    • (1993) Proc. Crypto '92 , pp. 333-344
    • Meier, W.1    Staffelbach, O.2
  • 9
    • 0000266095 scopus 로고
    • Speeding up the Computations on an Elliptic Curve Using Additions-Subtraction Chains
    • F. Morain and J. Olivos, "Speeding up the Computations on an Elliptic Curve Using Additions-Subtraction Chains," Inform. Theory. Appl., Vol. 24, 1990, pp. 531-543.
    • (1990) Inform. Theory. Appl. , vol.24 , pp. 531-543
    • Morain, F.1    Olivos, J.2
  • 10
    • 0011918550 scopus 로고    scopus 로고
    • Fast Multiplication on Elliptic Curve over Small Fields of Characteristic Two
    • V. Muller, "Fast Multiplication on Elliptic Curve over Small Fields of Characteristic Two," J. of Cryptology, Vol. 11, 1998, pp. 219-234.
    • (1998) J. of Cryptology , vol.11 , pp. 219-234
    • Muller, V.1
  • 12
    • 84966233278 scopus 로고
    • Elliptic Curves over Finite Fields and the Computation of Square Roots mod p
    • R. Schoof, "Elliptic Curves over Finite Fields and the Computation of Square Roots mod p," Math. Comp., Vol. 44, 1985, pp. 483-494.
    • (1985) Math. Comp. , vol.44 , pp. 483-494
    • Schoof, R.1
  • 13
    • 0032352723 scopus 로고    scopus 로고
    • Evaluation of Discrete Logarithms in a Group of p-Torsion Points of an Elliptic Curve in Characteristic p
    • I. Semaev, "Evaluation of Discrete Logarithms in a Group of p-Torsion Points of an Elliptic Curve in Characteristic p," Math. of Comp., Vol. 67, 1998, pp. 353-356.
    • (1998) Math. of Comp. , vol.67 , pp. 353-356
    • Semaev, I.1
  • 16
    • 84958649729 scopus 로고    scopus 로고
    • An Improved Algorithm for Arith-metic on a Family of Elliptic Curves
    • Springer-Verlag
    • J. Solinas, "An Improved Algorithm for Arith-metic on a Family of Elliptic Curves," Proc. Crypto '97, Springer-Verlag, 1997, pp. 357-371.
    • (1997) Proc. Crypto '97 , pp. 357-371
    • Solinas, J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.