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Volumn 46, Issue 6, 1997, Pages 701-704

O(n)-depth modular exponentiation circuit algorithm

Author keywords

Circuit complexity; Computer arithmetic; Hardware algorithm; Modular arithmetic; Modular exponentiation

Indexed keywords


EID: 33747105244     PISSN: 00189340     EISSN: None     Source Type: Journal    
DOI: 10.1109/12.600828     Document Type: Article
Times cited : (4)

References (10)
  • 1
    • 0017930809 scopus 로고
    • A Method for Obtaining Digital Signature and Public-Key Cryptosystems
    • Feb.
    • R.L. Rivest, A. Shamir, and L. Adleman, "A Method for Obtaining Digital Signature and Public-Key Cryptosystems," Comm. ACM, vol. 21, no. 2, pp. 120-126, Feb. 1978.
    • (1978) Comm. ACM , vol.21 , Issue.2 , pp. 120-126
    • Rivest, R.L.1    Shamir, A.2    Adleman, L.3
  • 3
    • 0020900943 scopus 로고
    • A Fast Modular Multiplication Algorithm with Application to Two Key Cryptography
    • D. Chaum et al., eds., Plenum
    • E.F. Brickell, "A Fast Modular Multiplication Algorithm with Application to Two Key Cryptography," Advances in Cryptology: Proc. CRYPTO 82, D. Chaum et al., eds., pp. 51-60. Plenum, 1983.
    • (1983) Advances in Cryptology: Proc. CRYPTO 82 , pp. 51-60
    • Brickell, E.F.1
  • 4
    • 84966243285 scopus 로고
    • Modular Multiplication without Trial Division
    • Apr.
    • P.L. Montgomery, "Modular Multiplication without Trial Division," Math. Computation, vol. 44, no. 170, pp. 519-521, Apr. 1985.
    • (1985) Math. Computation , vol.44 , Issue.170 , pp. 519-521
    • Montgomery, P.L.1
  • 5
    • 0021542546 scopus 로고
    • Log Depth Circuits for Division and Related Problems
    • Oct.
    • P.W. Beame, S.A. Cook, and H.J. Hoover, "Log Depth Circuits for Division and Related Problems," Proc. 25th IEEE FOCS, pp. 1-6, Oct. 1984.
    • (1984) Proc. 25th IEEE FOCS , pp. 1-6
    • Beame, P.W.1    Cook, S.A.2    Hoover, H.J.3
  • 6
    • 33747124326 scopus 로고
    • Log Depth Circuits for Elementary Functions Using Residue Number System
    • Sept. (in Japanese)
    • Y. Okabe, N. Takagi, and S. Yajima, "Log Depth Circuits for Elementary Functions Using Residue Number System," IEICE Trans., vol. J73-D-I, no. 9, pp. 723-728, Sept. 1990 (in Japanese).
    • (1990) IEICE Trans. , vol.J73-D-I , Issue.9 , pp. 723-728
    • Okabe, Y.1    Takagi, N.2    Yajima, S.3
  • 7
    • 33747087782 scopus 로고
    • English translated version
    • English translated version is available in Electronics and Comm. in Japan, part 3, vol. 74, no. 8, pp. 31-38, 1991.
    • (1991) Electronics and Comm. in Japan , vol.74 , Issue.8 PART 3 , pp. 31-38
  • 10
    • 0023431819 scopus 로고
    • Computing Powersin Parallel
    • Oct.
    • J. von zur Gathen, "Computing Powersin Parallel," SIAM J. Computing, vol. 16, no. 5, pp. 930-945, Oct. 1987.
    • (1987) SIAM J. Computing , vol.16 , Issue.5 , pp. 930-945
    • Von Zur Gathen, J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.