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Volumn 176, Issue 1, 2006, Pages 280-292

How to compute modular exponentiation with large operators based on the right-to-left binary algorithm

Author keywords

Computer algebra system; Framework; Modular exponentiation; Performance; Right to left binary algorithm; t fold exponent method

Indexed keywords

COMPUTATION THEORY; LINEAR ALGEBRA; MATHEMATICAL TECHNIQUES; THEOREM PROVING;

EID: 33748056835     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2005.09.062     Document Type: Article
Times cited : (11)

References (16)
  • 1
    • 0003280114 scopus 로고    scopus 로고
    • The Art of Computer Programming
    • Addison-Wesley, Reading, MA
    • Knuth D.E. The Art of Computer Programming. Seminumerical Algorithms. third edition vol. 2 (1997), Addison-Wesley, Reading, MA 461
    • (1997) Seminumerical Algorithms. third edition , vol.2 , pp. 461
    • Knuth, D.E.1
  • 2
    • 0009399673 scopus 로고
    • Computing sequences with addition chains
    • Downey P., Leong B., and Sethi R. Computing sequences with addition chains. SIAM Journal on Computing 10 3 (1981) 638-646
    • (1981) SIAM Journal on Computing , vol.10 , Issue.3 , pp. 638-646
    • Downey, P.1    Leong, B.2    Sethi, R.3
  • 3
    • 0344489741 scopus 로고
    • Remarks on number theory. III. On addition chains
    • Erdös P. Remarks on number theory. III. On addition chains. Acta Arithmetica 6 (1960) 77-81
    • (1960) Acta Arithmetica , vol.6 , pp. 77-81
    • Erdös, P.1
  • 6
    • 0029406556 scopus 로고
    • Analysis of sliding window techniques for exponentiation
    • Koç C.K. Analysis of sliding window techniques for exponentiation. Computers and Mathematics with Applications 30 10 (1995) 17-24
    • (1995) Computers and Mathematics with Applications , vol.30 , Issue.10 , pp. 17-24
    • Koç, C.K.1
  • 7
    • 0033115302 scopus 로고    scopus 로고
    • Analysis of the variable length nonzero window method for exponentiation
    • Park H., Park K., and Cho Y. Analysis of the variable length nonzero window method for exponentiation. Computers and Mathematics with Applications 37 7 (1999) 21-29
    • (1999) Computers and Mathematics with Applications , vol.37 , Issue.7 , pp. 21-29
    • Park, H.1    Park, K.2    Cho, Y.3
  • 8
    • 22044456811 scopus 로고    scopus 로고
    • Analysis of the sliding window powering algorithm
    • Cohen H. Analysis of the sliding window powering algorithm. Journal of Cryptology 18 1 (2005) 63-76
    • (2005) Journal of Cryptology , vol.18 , Issue.1 , pp. 63-76
    • Cohen, H.1
  • 9
    • 0000490812 scopus 로고    scopus 로고
    • A survey of fast exponentiation methods
    • Gordon D.M. A survey of fast exponentiation methods. Journal of Algorithms 27 1 (1998) 129-146
    • (1998) Journal of Algorithms , vol.27 , Issue.1 , pp. 129-146
    • Gordon, D.M.1
  • 10
    • 33748073534 scopus 로고    scopus 로고
    • Ç.K. Koç, High-speed RSA implementation, Technical Report TR 201, RSA Laboratories, 1994.
  • 11
    • 0030143030 scopus 로고    scopus 로고
    • Fast exponentiation method obtained by folding the exponent in half
    • Lou D.C., and Chang C.C. Fast exponentiation method obtained by folding the exponent in half. Electronics Letters 32 11 (1996) 984-985
    • (1996) Electronics Letters , vol.32 , Issue.11 , pp. 984-985
    • Lou, D.C.1    Chang, C.C.2
  • 15
    • 0027650333 scopus 로고
    • Common-multiplicand multiplication and its applications to public key cryptography
    • Yen S.M., and Laih C.S. Common-multiplicand multiplication and its applications to public key cryptography. Electronics Letters 29 17 (1993) 1583-1584
    • (1993) Electronics Letters , vol.29 , Issue.17 , pp. 1583-1584
    • Yen, S.M.1    Laih, C.S.2
  • 16
    • 0029368578 scopus 로고
    • Improved generalisation common-multiplicand multiplications algorithm of Yen and Laih
    • Wu T.C., and Chang Y.S. Improved generalisation common-multiplicand multiplications algorithm of Yen and Laih. Electronics Letters 31 20 (1995) 1738-1739
    • (1995) Electronics Letters , vol.31 , Issue.20 , pp. 1738-1739
    • Wu, T.C.1    Chang, Y.S.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.