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Arithmetic and factorization of polynomial over F2 (extended abstract)
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Source International Conference on Symbolic and Algebraic Computation archive
Proceedings of the 1996 international symposium on Symbolic and algebraic computation table of contents
Zurich, Switzerland
Pages: 1 - 9  
Year of Publication: 1996
ISBN:0-89791-796-0
Authors
Joachim von zur Gathen  Fachbereich 17 Mathematik-Informatik, Universität-GH Paderborn, D-33095 Paderborn, Germany
Jürgen Gerhard  Fachbereich 17 Mathematik-Informatik, Universität-GH Paderborn, D-33095 Paderborn, Germany
Sponsors
SIGSAM: ACM Special Interest Group on Symbolic and Algebraic Manipulation
SIGNUM: ACM Special Interest Group on Numerical Mathematics
Publisher
ACM  New York, NY, USA
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Downloads (6 Weeks): 2,   Downloads (12 Months): 13,   Citation Count: 4
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REFERENCES

Note: OCR errors may be found in this Reference List extracted from the full text article. ACM has opted to expose the complete List rather than only correct and linked references.

 
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E. R. BERLEKAMP, Factoring polynomials over finite fields. BelI System Tech. j. 46 (1967), 1853-1859.
 
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E. R. BERLEKAMP, Factoring polynomials over large finite fields. Math. Comp. 24 (1970), 713-735.
 
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D. G. CANTOR AND H. ZASSENHAUS, A new algorithm for factoring polynomials over finite fields. Math. Comp. 36 (1981), 587-592.
 
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P. FLEISCHMANN AND P ROELSE, Comparative implementations of Berlekamp's and Niederreiter's polynomial factorization algorithms. Preprint, 1995.
 
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S. GAO AND J. VON ZUR GATHEN, Berlekamp's and Niederreiter's polynomial factorization algorithms. In Finite FieIds: Theory, Applications and Algorithms, ed. (3. L. MULLEN AND P. J-S. SmUE, vo1. 168 of Contemporary Mathematics. Amer. Math. Soc., 1994, 101-115.
 
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J. VON ZUR CATHEN AND J. GERHARD, Arithmetic and factorization of polynomials over F2. Technical report, University of Paderborn, to appear, 1996.
 
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J. VON ZUR GATHEN, X. GOURDON, AND D. PANARIO, Averagecase analysis of some polynomial factorization algorithms. Unpublished, 1995.
 
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D. ~. KNUTH AND L. TRABB PARDO, Analysis of a simple factorization algorithm. Theoretical Computer Science 3 (1976), 321-348.
 
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P L. MONTGOMERY, Factorization of X~16~91 + X + I mod 2 a problem of Herb Doughty. Preprint, 1991.
 
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H. NIEDERREITER, New deterministic factorization algorithms for polynomials over finite fields. Contemporary Mathematics 168 (1994), 251-268.
 
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D. REISCHERT, Schnelle Multiplikation von Polynomen fiber GF(2) und Anwendungen. Diplomarbeit, University of Bonn, Germany, 1995.
 
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V. STRASSEN, The computational complexity of continued fractions. SIAM d. Comput. 12 (1983), 1-27.
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Collaborative Colleagues:
Joachim von zur Gathen: colleagues
Jürgen Gerhard: colleagues