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Volumn 38, Issue 6, 2004, Pages 1461-1470

Deterministic distinct-degree factorization of polynomials over finite fields

Author keywords

Deterministic algorithm; Distinct degree factorization; Multivariate polynomial

Indexed keywords


EID: 4944252950     PISSN: 07477171     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jsc.2004.05.004     Document Type: Article
Times cited : (12)

References (20)
  • 1
    • 84944812247 scopus 로고
    • Factoring polynomials over finite fields
    • Republished in revised form: E.R. Berlekamp Algebraic Coding Theory 1968 McGraw-Hill Publ. New York (Chapter 6)
    • E.R. Berlekamp Factoring polynomials over finite fields Bell Syst. Tech. J. 46 1967 1853-1859 Republished in revised form: E.R. Berlekamp Algebraic Coding Theory 1968 McGraw-Hill Publ. New York (Chapter 6)
    • (1967) Bell Syst. Tech. J. , vol.46 , pp. 1853-1859
    • Berlekamp, E.R.1
  • 2
    • 4944253812 scopus 로고    scopus 로고
    • Factoring multivariate polynomials over a finite field
    • Swiss Federal Institute of Technology (ETH), Zurich, Switzerland Available at
    • L. Bernardin Factoring multivariate polynomials over a finite field. Dissertation, Swiss Federal Institute of Technology (ETH), Zurich, Switzerland 1999 Available at http://bernardin.com/publications.html
    • (1999)
    • Bernardin, L.1
  • 4
    • 0015141743 scopus 로고
    • On Euclid's algorithm and the theory of subresultants
    • W.S. Brown J.F. Traub On Euclid's algorithm and the theory of subresultants J. ACM 18 1971 505-514
    • (1971) J. ACM , vol.18 , pp. 505-514
    • Brown, W.S.1    Traub, J.F.2
  • 5
    • 0346466821 scopus 로고
    • On the reducibility of polynomials over a finite field
    • M.C.R. Butler On the reducibility of polynomials over a finite field Quart. J. Math., Oxford Ser. (2) 5 1954 102-107
    • (1954) Quart. J. Math., Oxford Ser. , vol.5 , Issue.2 , pp. 102-107
    • Butler, M.C.R.1
  • 6
    • 0037376559 scopus 로고    scopus 로고
    • Factoring multivariate polynomials via partial differential equations
    • S. Gao Factoring multivariate polynomials via partial differential equations Math. Comp. 72 242 2003 801-822
    • (2003) Math. Comp. , vol.72 , Issue.242 , pp. 801-822
    • Gao, S.1
  • 7
    • 0036792341 scopus 로고    scopus 로고
    • Hensel lifting and polynomial factorisation
    • S. Gao A.G.B. Lauder Hensel lifting and polynomial factorisation Math. Comp. 71 2002 1663-1676
    • (2002) Math. Comp. , vol.71 , pp. 1663-1676
    • Gao, S.1    Lauder, A.G.B.2
  • 8
    • 0020269106 scopus 로고
    • A polynomial-time reduction from bivariate to univariate integral polynomial factorization
    • journal version in Kaltofen, 1985b
    • E. Kaltofen A polynomial-time reduction from bivariate to univariate integral polynomial factorization Proc. 23rd Annual Symp. Foundations of Comp. Sci. IEEE 1982 57-64 journal version in Kaltofen, 1985b
    • (1982) Proc. 23rd Annual Symp. Foundations of Comp. Sci. IEEE , pp. 57-64
    • Kaltofen, E.1
  • 9
    • 0022022427 scopus 로고
    • Fast parallel absolute irreducibility testing
    • E. Kaltofen Fast parallel absolute irreducibility testing J. Symbolic Comput. 1 1 1985 57-67
    • (1985) J. Symbolic Comput. , vol.1 , Issue.1 , pp. 57-67
    • Kaltofen, E.1
  • 11
    • 0022060323 scopus 로고
    • Polynomial-time reductions from multivariate to bi- and univariate integral polynomial factorization
    • E. Kaltofen Polynomial-time reductions from multivariate to bi- and univariate integral polynomial factorization SIAM J. Comput. 14 2 1985 469-489
    • (1985) SIAM J. Comput. , vol.14 , Issue.2 , pp. 469-489
    • Kaltofen, E.1
  • 12
    • 0007102396 scopus 로고
    • Deterministic irreducibility testing of polynomials over large finite fields
    • E. Kaltofen Deterministic irreducibility testing of polynomials over large finite fields J. Symbolic Comput. 4 1987 77-82
    • (1987) J. Symbolic Comput. , vol.4 , pp. 77-82
    • Kaltofen, E.1
  • 13
    • 0032365366 scopus 로고    scopus 로고
    • Subquadratic-time factoring of polynomials over finite fields
    • E. Kaltofen V. Shoup Subquadratic-time factoring of polynomials over finite fields Math. Comp. 67 223 1998 1179-1197
    • (1998) Math. Comp. , vol.67 , Issue.223 , pp. 1179-1197
    • Kaltofen, E.1    Shoup, V.2
  • 14
    • 0004127220 scopus 로고
    • Reading, MA, USA: Addison-Wesley. (now distributed by Cambridge University Press)
    • R. Lidl H. Niederreiter Finite Fields 1983 Addison-Wesley Reading, MA, USA (now distributed by Cambridge University Press)
    • (1983) Finite Fields
    • Lidl, R.1    Niederreiter, H.2
  • 15
    • 0036042305 scopus 로고    scopus 로고
    • Yet another practical implementation of polynomial factorization over finite fields
    • T. Mora ed. ISSAC'02 ACM Press New York, NY
    • M. Noro K. Yokoyama Yet another practical implementation of polynomial factorization over finite fields in: T. Mora ed. Proc. 2002 Internat. Symp. Symbolic Algebraic Comput., ISSAC'02 2002 ACM Press New York, NY 200-206
    • (2002) Proc. 2002 Internat. Symp. Symbolic Algebraic Comput. , pp. 200-206
    • Noro, M.1    Yokoyama, K.2
  • 16
    • 0040170058 scopus 로고
    • On the reducibility of polynomials over a finite field
    • Ŝt. Schwarz On the reducibility of polynomials over a finite field Quart. J. Math. Oxford Ser. (2) 7 1956 110-124
    • (1956) Quart. J. Math. Oxford Ser. , vol.7 , Issue.2 , pp. 110-124
    • Schwarz, Ŝt.1
  • 18
    • 84966248331 scopus 로고
    • Factoring multivariate polynomials over finite fields
    • J. von zur Gathen E. Kaltofen Factoring multivariate polynomials over finite fields Math. Comp. 45 1985 251-261
    • (1985) Math. Comp. , vol.45 , pp. 251-261
    • von zur Gathen, J.1    Kaltofen, E.2
  • 19
    • 0001605828 scopus 로고
    • Computing Frobenius maps and factoring polynomials
    • J. von zur Gathen V. Shoup Computing Frobenius maps and factoring polynomials Comput. Complexity 2 1992 187-224
    • (1992) Comput. Complexity , vol.2 , pp. 187-224
    • von zur Gathen, J.1    Shoup, V.2
  • 20
    • 85033221038 scopus 로고
    • On square-free decomposition algorithms
    • R.D. Jenks ed., ACM, SYMSAC was held at IBM Research in Yorktown Heights, New York
    • D.Y.Y. Yun On square-free decomposition algorithms in: R.D. Jenks ed. Proc. 1976 ACM Symp. Symbolic Algebraic Comput. ACM 1976 26-35. SYMSAC was held at IBM Research in Yorktown Heights, New York
    • (1976) Proc. 1976 ACM Symp. Symbolic Algebraic Comput , pp. 26-35
    • Yun, D.Y.Y.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.