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Volumn 68, Issue 226, 1999, Pages 869-880

Factoring high-degree polynomials over F2 with Niederreiter's algorithm on the IBM SP2

Author keywords

Finite fields; Parallel computing; Polynomial factorization

Indexed keywords


EID: 0033426088     PISSN: 00255718     EISSN: None     Source Type: Journal    
DOI: 10.1090/s0025-5718-99-01008-x     Document Type: Article
Times cited : (7)

References (19)
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    • Cantor, D.G.1
  • 6
    • 0010658710 scopus 로고    scopus 로고
    • Comparative implementations of Berlekamp's and Niederreiter's polynomial factorization algorithms
    • (S. Cohen and H. Niederreiter, eds.), Cambridge University Press, MR 98a:12009
    • P. Fleischmann and P. Roelse, Comparative implementations of Berlekamp's and Niederreiter's polynomial factorization algorithms, Finite Fields and their Applications (S. Cohen and H. Niederreiter, eds.), Cambridge University Press, 1996, pp. 73-84. MR 98a:12009
    • (1996) Finite Fields and their Applications , pp. 73-84
    • Fleischmann, P.1    Roelse, P.2
  • 11
    • 0347700562 scopus 로고
    • Factoring high-degree polynomials by the black box Berlekamp algorithm
    • (J. von zur Gathen and M. Giesbrecht, eds.), ACM Press
    • E. Kaltofen and A. Lobo, Factoring high-degree polynomials by the black box Berlekamp algorithm, Proc. ISSAC '94 (J. von zur Gathen and M. Giesbrecht, eds.), ACM Press, 1994, pp. 90-98.
    • (1994) Proc. ISSAC '94 , pp. 90-98
    • Kaltofen, E.1    Lobo, A.2
  • 12
    • 0001464763 scopus 로고
    • Multiplication of multidigit numbers on automata
    • A. Karatsuba and Y. Ofman, Multiplication of multidigit numbers on automata, Soviet Phys. Dokl. 7 (1963), 595-596.
    • (1963) Soviet Phys. Dokl. , vol.7 , pp. 595-596
    • Karatsuba, A.1    Ofman, Y.2
  • 13
    • 0010739274 scopus 로고
    • New deterministic factorization algorithms for polynomials over finite fields
    • MR 95f:11100
    • H. Niederreiter, New deterministic factorization algorithms for polynomials over finite fields, Contemp. Math. 168 (1994), 251-268. MR 95f:11100
    • (1994) Contemp. Math. , vol.168 , pp. 251-268
    • Niederreiter, H.1
  • 16
    • 0001465210 scopus 로고
    • A new polynomial factorization algorithm and its implementation
    • MR 97d:12011
    • V. Shoup, A new polynomial factorization algorithm and its implementation, J. Symbolic Comput. 20 (1995), 363-397. MR 97d:12011
    • (1995) J. Symbolic Comput. , vol.20 , pp. 363-397
    • Shoup, V.1
  • 17
    • 0001977576 scopus 로고
    • The computational complexity of continued fractions
    • MR 84b:12004
    • V. Strassen, The computational complexity of continued fractions, SIAM J. Comput. 12 (1983), 1-27. MR 84b:12004
    • (1983) SIAM J. Comput. , vol.12 , pp. 1-27
    • Strassen, V.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.