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Volumn 52, Issue 11, 2003, Pages 1379-1390

Fast Normal Basis Multiplication Using General Purpose Processors

Author keywords

Composite fields; ECDSA; Finite field multiplication; Normal basis; Software algorithms

Indexed keywords

ALGORITHMS; COMPUTATIONAL COMPLEXITY; COMPUTATIONAL METHODS; COMPUTER HARDWARE; COMPUTER SOFTWARE; PROGRAM PROCESSORS; VECTORS;

EID: 0242493840     PISSN: 00189340     EISSN: None     Source Type: Journal    
DOI: 10.1109/TC.2003.1244936     Document Type: Article
Times cited : (24)

References (35)
  • 5
    • 84974687517 scopus 로고    scopus 로고
    • A Secure Family of Composite Finite Fields Suitable for Fast Implementation of Elliptic Curve Cryptography
    • Dec.
    • M. Ciet and J.-J. Quisquater, F. Sica, "A Secure Family of Composite Finite Fields Suitable for Fast Implementation of Elliptic Curve Cryptography," Proc. Indocrypt 2001, pp. 108-116, Dec. 2001.
    • (2001) Proc. Indocrypt 2001 , pp. 108-116
    • Ciet, M.1    Quisquater, J.-J.2    Sica, F.3
  • 9
    • 0034216098 scopus 로고    scopus 로고
    • Look-Up Table-Based Large Finite Field Multiplication in Memory Constrained Cryptosystems
    • July
    • M.A. Hasan, "Look-Up Table-Based Large Finite Field Multiplication in Memory Constrained Cryptosystems," IEEE Trans. Computers, vol. 49, no. 7, pp. 749-758, July 2000.
    • (2000) IEEE Trans. Computers , vol.49 , Issue.7 , pp. 749-758
    • Hasan, M.A.1
  • 10
    • 0001492981 scopus 로고
    • A Modified Massey-Omura Parallel Multiplier for a Class of Finite Fields
    • Oct.
    • M.A. Hasan, M.Z. Wang, and V.K. Bhargava, "A Modified Massey-Omura Parallel Multiplier for a Class of Finite Fields," IEEE Trans. Computers, vol. 42, no. 10, pp. 1278-1280, Oct. 1993.
    • (1993) IEEE Trans. Computers , vol.42 , Issue.10 , pp. 1278-1280
    • Hasan, M.A.1    Wang, M.Z.2    Bhargava, V.K.3
  • 13
    • 0010058718 scopus 로고    scopus 로고
    • Elliptic Scalar Multiplication Using Point Halving
    • E. Knudsen, "Elliptic Scalar Multiplication Using Point Halving," Proc. ASIACRYPT 1999, pp. 135-149, 1999.
    • (1999) Proc. ASIACRYPT 1999 , pp. 135-149
    • Knudsen, E.1
  • 14
    • 84968503742 scopus 로고
    • Elliptic Curve Cryptosystems
    • N. Koblitz, "Elliptic Curve Cryptosystems," Math. Computation, vol. 48, pp. 203-209, 1987.
    • (1987) Math. Computation , vol.48 , pp. 203-209
    • Koblitz, N.1
  • 18
    • 0031369480 scopus 로고    scopus 로고
    • A Search of Minimal Key Functions for Normal Basis Multipliers
    • May
    • C.-C. Lu, "A Search of Minimal Key Functions for Normal Basis Multipliers," IEEE Trans. Computers, vol. 46, no. 5, pp. 588-592, May 1997.
    • (1997) IEEE Trans. Computers , vol.46 , Issue.5 , pp. 588-592
    • Lu, C.-C.1
  • 20
    • 84974693377 scopus 로고    scopus 로고
    • Analysis of the GHS Weil Descent Attack on the ECDLP over Characteristic Two Finite Fields of Composite Degree
    • Dec.
    • M. Maurer, A. Menezes, and E. Teske, "Analysis of the GHS Weil Descent Attack on the ECDLP over Characteristic Two Finite Fields of Composite Degree," Proc. Indocrypt 2001, pp. 195-213, Dec. 2001.
    • (2001) Proc. Indocrypt 2001 , pp. 195-213
    • Maurer, M.1    Menezes, A.2    Teske, E.3
  • 22
    • 85015402934 scopus 로고
    • Use of Elliptic Curves in Cryptography
    • V.S. Miller, "Use of Elliptic Curves in Cryptography," Proc. Crypto '85, pp. 417-426, 1986.
    • (1986) Proc. Crypto '85 , pp. 417-426
    • Miller, V.S.1
  • 24
    • 84956974817 scopus 로고    scopus 로고
    • Efficient Software Implementation for Finite Field Multiplication in Normal Basis
    • Nov.
    • P. Ning and Y.L. Yin, "Efficient Software Implementation for Finite Field Multiplication in Normal Basis," Proc. Information and Commu. Security (ICICS 2001), pp. 177-181, Nov. 2001.
    • (2001) Proc. Information and Commu. Security (ICICS 2001) , pp. 177-181
    • Ning, P.1    Yin, Y.L.2
  • 25
    • 0003508562 scopus 로고    scopus 로고
    • FIPS Publication 186-2
    • Nat'l Inst. of Standards and Technology, Digital Signature Standard, FIPS Publication 186-2, 2000.
    • (2000) Digital Signature Standard
  • 26
    • 0034291075 scopus 로고    scopus 로고
    • Efficient Normal Basis Multipliers in Composite Fields
    • Oct.
    • S. Oh, C.H. Kim, J. Lim, and D.H. Cheon, "Efficient Normal Basis Multipliers in Composite Fields," IEEE Trans. Computers, vol. 49, no. 10, pp. 1133-1138, Oct. 2000.
    • (2000) IEEE Trans. Computers , vol.49 , Issue.10 , pp. 1133-1138
    • Oh, S.1    Kim, C.H.2    Lim, J.3    Cheon, D.H.4
  • 27
    • 0033204715 scopus 로고    scopus 로고
    • Fast Arithmetic for Public-Key Algorithms in Galois Fields with Composite Exponents
    • Oct.
    • C. Paar, P. Fleishmann, and P. Soria-Rodriguez, "Fast Arithmetic for Public-Key Algorithms in Galois Fields with Composite Exponents," IEEE Trans. Computers, vol. 48, no. 10, pp. 1025-1034, Oct. 1999.
    • (1999) IEEE Trans. Computers , vol.48 , Issue.10 , pp. 1025-1034
    • Paar, C.1    Fleishmann, P.2    Soria-Rodriguez, P.3
  • 28
    • 1642340631 scopus 로고    scopus 로고
    • On Efficient Normal Basis Multiplication
    • Dec.
    • A. Reyhani-Masoleh and M.A. Hasan, "On Efficient Normal Basis Multiplication," Proc. Indocrypt 2000, pp. 213-224, Dec. 2000.
    • (2000) Proc. Indocrypt 2000 , pp. 213-224
    • Reyhani-Masoleh, A.1    Hasan, M.A.2
  • 29
    • 0011579285 scopus 로고    scopus 로고
    • Fast Normal Basis Multiplication Using General Purpose Processors
    • Dept. of C & O, Univ. of Waterloo, Canada, Apr.
    • A. Reyhani-Masoleh and M.A. Hasan, "Fast Normal Basis Multiplication Using General Purpose Processors," Technical Report CORR 2001-25, Dept. of C & O, Univ. of Waterloo, Canada, Apr. 2001.
    • (2001) Technical Report , vol.CORR 2001-25
    • Reyhani-Masoleh, A.1    Hasan, M.A.2
  • 34
    • 84945129506 scopus 로고    scopus 로고
    • How Secure Are Elliptic Curves over Composite Extension Fields?
    • N.P. Smart, "How Secure Are Elliptic Curves over Composite Extension Fields?" Proc. Eurocrypt 2001, pp. 30-39, 2001.
    • (2001) Proc. Eurocrypt 2001 , pp. 30-39
    • Smart, N.P.1
  • 35
    • 0035107422 scopus 로고    scopus 로고
    • An Efficient Optimal Normal Basis Type II Multiplier
    • Jan.
    • B. Sunar and C.K. Koc, "An Efficient Optimal Normal Basis Type II Multiplier," IEEE Trans. Computers, vol. 50, no. 1, pp. 83-88, Jan. 2001.
    • (2001) IEEE Trans. Computers , vol.50 , Issue.1 , pp. 83-88
    • Sunar, B.1    Koc, C.K.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.