메뉴 건너뛰기




Volumn 26, Issue 4, 1998, Pages 463-486

Factoring in skew-polynomial rings over finite fields

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0032185835     PISSN: 07477171     EISSN: None     Source Type: Journal    
DOI: 10.1006/jsco.1998.0224     Document Type: Article
Times cited : (61)

References (29)
  • 1
    • 84968518238 scopus 로고
    • Factoring polynomials over large finite fields
    • Berlekamp, E. R. (1970). Factoring polynomials over large finite fields. Math. Comp., 24, 713-735.
    • (1970) Math. Comp. , vol.24 , pp. 713-735
    • Berlekamp, E.R.1
  • 2
    • 0028195476 scopus 로고
    • On Ore rings, linear operators and factorisation
    • Bronstein, M., Petkovšek, M. (1994). On Ore rings, linear operators and factorisation. Programmirovanie, 20, 27-45.
    • (1994) Programmirovanie , vol.20 , pp. 27-45
    • Bronstein, M.1    Petkovšek, M.2
  • 3
  • 4
    • 34249916280 scopus 로고
    • Fast multiplication of polynomials over arbitrary algebras
    • Cantor, D., Kaltofen, E. (1991). Fast multiplication of polynomials over arbitrary algebras. Acta Informatica, 28, 693-701.
    • (1991) Acta Informatica , vol.28 , pp. 693-701
    • Cantor, D.1    Kaltofen, E.2
  • 6
    • 85023205150 scopus 로고
    • Matrix multiplication via arithmetic progressions
    • Coppersmith, D., Winograd, S. (1990). Matrix multiplication via arithmetic progressions. J. Symb. Comput., 9, 251-280.
    • (1990) J. Symb. Comput. , vol.9 , pp. 251-280
    • Coppersmith, D.1    Winograd, S.2
  • 8
    • 0002179011 scopus 로고
    • Prime and composite polynomials
    • Dorey, F., Whaples, G. (1974). Prime and composite polynomials. J. Algebra, 28, 88-101.
    • (1974) J. Algebra , vol.28 , pp. 88-101
    • Dorey, F.1    Whaples, G.2
  • 10
    • 85030547486 scopus 로고
    • Factoring in skew-polynomial rings
    • Sao Paulo, Brasil
    • Giesbrecht, M. (1992). Factoring in skew-polynomial rings. In Proc. LATIN'92, Sao Paulo, Brasil, pp. 191-203.
    • (1992) Proc. LATIN'92 , pp. 191-203
    • Giesbrecht, M.1
  • 11
    • 0001897488 scopus 로고
    • Complexity of factoring and calculating GCD of linear differential operators
    • Grigoriev, D. Y. (1990). Complexity of factoring and calculating GCD of linear differential operators. J. Symb. Comput., 10, 7-37.
    • (1990) J. Symb. Comput. , vol.10 , pp. 7-37
    • Grigoriev, D.Y.1
  • 12
    • 84972499944 scopus 로고
    • Scalar polynomial equations for matrices over a finite field
    • Hodges, J. H. (1958). Scalar polynomial equations for matrices over a finite field. Duke Math. J., 25, 291-296.
    • (1958) Duke Math. J. , vol.25 , pp. 291-296
    • Hodges, J.H.1
  • 14
    • 0000655259 scopus 로고
    • Polynomial decomposition algorithms
    • Kozen, D., Landau, S. (1989). Polynomial decomposition algorithms. J. Symb. Comput., 7, 445-456.
    • (1989) J. Symb. Comput. , vol.7 , pp. 445-456
    • Kozen, D.1    Landau, S.2
  • 15
    • 0003956970 scopus 로고
    • Reading, MA, Addison-Wesley
    • Lang, S. (1984). Algebra. Reading, MA, Addison-Wesley.
    • (1984) Algebra
    • Lang, S.1
  • 18
    • 0001072553 scopus 로고
    • Theory of non-commutative polynomials
    • Ore, O. (1933). Theory of non-commutative polynomials. Ann. Math., 34, 480-508.
    • (1933) Ann. Math. , vol.34 , pp. 480-508
    • Ore, O.1
  • 21
    • 0000256895 scopus 로고
    • Schnelle multiplikation von polynomen über körpern der charakteristik 2
    • Schönhage, A. (1977). Schnelle Multiplikation von Polynomen über Körpern der Charakteristik 2. Acta Infor., 7, 395-398.
    • (1977) Acta Infor. , vol.7 , pp. 395-398
    • Schönhage, A.1
  • 22
    • 34250459760 scopus 로고
    • Schnelle multiplikation großer zahlen
    • Schönhage, A., Strassen, V. (1971). Schnelle Multiplikation großer Zahlen. Computing, 7, 281-292.
    • (1971) Computing , vol.7 , pp. 281-292
    • Schönhage, A.1    Strassen, V.2
  • 23
    • 0041523852 scopus 로고    scopus 로고
    • Testing reducibility of linear differential operators: A group theoretic perspective
    • Singer, M. F. (1996). Testing reducibility of linear differential operators: a group theoretic perspective. Applicable Algebra Eng. Commun. Computing, 7, 77-104.
    • (1996) Applicable Algebra Eng. Commun. Computing , vol.7 , pp. 77-104
    • Singer, M.F.1
  • 24
    • 0003956960 scopus 로고
    • 7th edn. New York, Frederick Ungar Publishing Co.
    • van der Waerden, B. L. (1970). Algebra, Vol. 1, 7th edn. New York, Frederick Ungar Publishing Co.
    • (1970) Algebra , vol.1
    • Van Der Waerden, B.L.1
  • 25
    • 85025512580 scopus 로고
    • Functional decomposition of polynomials: The tame case
    • von zur Gathen, J. (1990a). Functional decomposition of polynomials: the tame case. J. Symb. Comput., 9, 281-299.
    • (1990) J. Symb. Comput. , vol.9 , pp. 281-299
    • Von Zur Gathen, J.1
  • 26
    • 84974611723 scopus 로고
    • Functional decomposition of polynomials: The wild case
    • von zur Gathen, J. (1990b). Functional decomposition of polynomials: the wild case. J. Symb. Comput., 10, 437-452.
    • (1990) J. Symb. Comput. , vol.10 , pp. 437-452
    • Von Zur Gathen, J.1
  • 28
    • 0001605828 scopus 로고
    • Computing Frobenius maps and factoring polynomials
    • von zur Gathen, J., Shoup, V. (1992). Computing Frobenius maps and factoring polynomials. Computat. Complexity, 2, 187-224.
    • (1992) Computat. Complexity , vol.2 , pp. 187-224
    • Von Zur Gathen, J.1    Shoup, V.2
  • 29
    • 0009978449 scopus 로고
    • Decomposition of rational functions
    • Preprint: Extended abstract
    • Zippel, R. (1991). Decomposition of rational functions. Preprint: Extended abstract in Proc. ISSAC'91.
    • (1991) Proc. ISSAC'91
    • Zippel, R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.