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Volumn , Issue , 2005, Pages 164-171

Parallel Montgomery multiplication in GF(2k) using trinomial residue arithmetic

Author keywords

[No Author keywords available]

Indexed keywords

MATHEMATICAL OPERATORS; POLYNOMIALS; SET THEORY; THEOREM PROVING;

EID: 27944481377     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper
Times cited : (26)

References (20)
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    • Analyzing and comparing montgomery multiplication algorithms
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    • (1996) IEEE Micro , vol.16 , Issue.3 , pp. 26-33
    • Koç, Ç.K.1    Acar, T.2    Kaliski Jr., B.S.3
  • 8
    • 0001492981 scopus 로고
    • A modified Massey-Omura parallel multiplier for a class of finite field
    • Oct.
    • M. A. Hasan, M. Z. Wang, and V. K. Bhargava. A modified Massey-Omura parallel multiplier for a class of finite field. IEEE Transactions on Computers, 42(10): 1278-1280, Oct. 1993.
    • (1993) IEEE Transactions on Computers , vol.42 , Issue.10 , pp. 1278-1280
    • Hasan, M.A.1    Wang, M.Z.2    Bhargava, V.K.3
  • 9
    • 84968503742 scopus 로고
    • Elliptic curve cryptosystems
    • January
    • N. Koblitz. Elliptic curve cryptosystems. Mathematics of Computation, 48(177):203-209, January 1987.
    • (1987) Mathematics of Computation , vol.48 , Issue.177 , pp. 203-209
    • Koblitz, N.1
  • 11
    • 33746026926 scopus 로고
    • m)
    • T. Mora, editor, Applied Algebra, Algebraic Algorithms and Error-Correcting Codes - AAECC-6, Springer-Verlag
    • m), In T. Mora, editor, Applied Algebra, Algebraic Algorithms and Error-Correcting Codes - AAECC-6, volume 357 of LNCS, pages 297-309. Springer-Verlag, 1989.
    • (1989) LNCS , vol.357 , pp. 297-309
    • Mastrovito, E.D.1
  • 14
    • 85015402934 scopus 로고
    • Uses of elliptic curves in cryptography
    • H. C. Williams, editor, Advances in Cryptology - CRYPTO '85, Springer-Verlag
    • V. S. Miller. Uses of elliptic curves in cryptography. In H. C. Williams, editor, Advances in Cryptology - CRYPTO '85, volume 218 of LNCS, pages 417-428. Springer-Verlag, 1986.
    • (1986) LNCS , vol.218 , pp. 417-428
    • Miller, V.S.1
  • 15
    • 84966243285 scopus 로고
    • Modular multiplication without trial division
    • Apr.
    • P.L. Montgomery. Modular multiplication without trial division. Mathematics of Computation, 44(170):519-521, Apr. 1985.
    • (1985) Mathematics of Computation , vol.44 , Issue.170 , pp. 519-521
    • Montgomery, P.L.1
  • 17
    • 0348010187 scopus 로고    scopus 로고
    • Parallel multipliers based on special irreducible pentanomials
    • Dec.
    • F. Rodriguez-Henriquez and c. K. Koç. Parallel multipliers based on special irreducible pentanomials. IEEE Transactions on Computers, 52(12): 1535-1542, Dec. 2003.
    • (2003) IEEE Transactions on Computers , vol.52 , Issue.12 , pp. 1535-1542
    • Rodriguez-Henriquez, F.1    Koç, C.K.2
  • 19
    • 0032627015 scopus 로고    scopus 로고
    • Mastrovito multiplier for all trinomials
    • May
    • B. Sunar and Ç. K. Koç. Mastrovito multiplier for all trinomials. IEEE Transactions on Computers, 48(5):522-527, May 1999.
    • (1999) IEEE Transactions on Computers , vol.48 , Issue.5 , pp. 522-527
    • Sunar, B.1    Koç, Ç.K.2
  • 20
    • 0032206245 scopus 로고    scopus 로고
    • New low-complexity bit-parallel finite field multipliers using weakly dual bases
    • Nov.
    • H. Wu, M. A. Hasan, and I. F. Blake. New low-complexity bit-parallel finite field multipliers using weakly dual bases. IEEE Transactions on Computers, 47(11): 1223-1234, Nov. 1998.
    • (1998) IEEE Transactions on Computers , vol.47 , Issue.11 , pp. 1223-1234
    • Wu, H.1    Hasan, M.A.2    Blake, I.F.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.