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Factoring modular polynomials (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: 10 - 17  
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
Silke Hartlieb  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): 18,   Citation Count: 1
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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. BACH, Number-theoretic algorithms. Annual Rev. Comput. Sci. 4 (1990), 119-172.
 
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E. R. BERLEKAMP, Factoring polynomials over large finite fields. Math. Comp. 24 (1970), 713-735.
 
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Z. I. BOREVICH AND I.R. SHAFAREVICH, NLrmber Theory. Academic Press, Inc., 1966.
 
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A. L. CHISTOV, Efficient factorization of polynomials over local fields. Soviet Math. Dokl. 35(2) (1987), 430-433.
 
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A. L. CHISTOV, Algorithm of polynomial complexity for factoring polynomials over local fields. J. Math. Sciences 7'0(4) (1994), 1912-1933.
 
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P.M. COHN, Algebra, vol. 2. John Wiley & Sons, 1977.
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J. VON ZUR GATHEN AND S. HARTLIEB, Factorization of polynomials modulo small prime powers. Technical report, Universit~t-GH Paderborn, 1996. To appear.
 
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J. VON ZUR GATHEN AND V. SHOUP, Computing Frobenius maps and factoring polynomials, computational complexity 2 (1992), 187-224.
 
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E. KALTOFEN, M. S. KRISHNAMOORTHY, AND B. D. SAUNDERS~ Parallel algorithms for matrix normal forms. Linear Algebra and Appl. 136 (1990), 189-208.
 
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A. g. LENSTRA AND H. W. LENSTRA, ed., The development of the number field sieve, Lecture notes in mathematics 1554. Springer- Verlag Berlin Heidelberg, 1993.
 
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A. SCH()NHAGE AND V. STRASSEN, Schnelle Multiplikation groi}er Zahlen. Computing 7' (1971), 281-292.
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M. O. VAHLE, Solving the congruence x2 -- a mod n. MapleTech 9 (I993), ~9-~6.


Collaborative Colleagues:
Joachim von zur Gathen: colleagues
Silke Hartlieb: colleagues