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Volumn 183, Issue 2, 2006, Pages 1000-1007

Fast elliptic scalar multiplication using new double-base chain and point halving

Author keywords

Double base chain; Elliptic curve cryptography (ECC); Point halving

Indexed keywords

COMPUTATIONAL COMPLEXITY; COMPUTATIONAL METHODS;

EID: 33845807936     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2006.05.111     Document Type: Article
Times cited : (21)

References (14)
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  • 2
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  • 3
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    • Vanstone, S.A.1
  • 4
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    • Speeding up the computations on an elliptic curve using addition-subtraction chains
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    • Morain, F.1    Olivos, J.2
  • 5
    • 33845788154 scopus 로고    scopus 로고
    • J.A. Solinas, Low-Weight Binary Representations for Pairs of Integers, Technical Report CORR 2001-41, CACR. Available from: .
  • 6
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    • CM curves with good cryptographic properties
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  • 7
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    • Solinas J. Efficient arithmetic on Koblitz curves. Designs, Codes and Cryptography 19 (2000) 195-249
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  • 8
    • 33845725633 scopus 로고    scopus 로고
    • M. Ciet, M. Joye, K. Lauter, P.L. Montgomery, Trading Inversions for Multiplications in Elliptic Curve Cryptography, Cryptology ePrint Archive, Report 2003/257 (2003). Also to appear in Design, Codes and Cryptography.
  • 9
    • 33845725193 scopus 로고    scopus 로고
    • V.S. Dimitrov, L. Imbert, P.K. Mishra, Fast Elliptic Curve Point Multiplication using Double-Base Chains, Cryptology ePrint Archive, Report 2005/069 (2005).
  • 10
    • 84956862072 scopus 로고    scopus 로고
    • Elliptic scalar multiplication using point halving
    • ASIACRYPT'99. Lam K.Y., Okamoto E., and Xing C. (Eds)
    • Knudsen E.W. Elliptic scalar multiplication using point halving. In: Lam K.Y., Okamoto E., and Xing C. (Eds). ASIACRYPT'99. LNCS 1716 (1999) 135-149
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  • 11
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    • R. Schroeppel, Elliptic Curve Point Ambiguity Resolution Apparatus and Method, International Patent Application Number PCT/US00/31014 filed 9 November (2000).
  • 13
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    • R.M. Avanzi, C. Heuberger, H. Prodinger, Minimality of the Hamming Weight of the τ-NAF for Koblitz Curves and Improved Combination with Point Halving, Cryptology ePrint Archive, Report 2005/225 (2005).
  • 14
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    • Faster scalar multiplication on Koblitz curves combining point halving with the Frobenius endomorphism
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    • Avanzi R.M., Ciet M., and Sica F. Faster scalar multiplication on Koblitz curves combining point halving with the Frobenius endomorphism. In: Bao F., Deng R.H., and Zhou J. (Eds). Public Key Cryptography (PKC 2004). LNCS 2947 (2004), Springer-Verlag 28-40
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* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.