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Factoring high-degree polynomials by the black box Berlekamp algorithm
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Source International Conference on Symbolic and Algebraic Computation archive
Proceedings of the international symposium on Symbolic and algebraic computation table of contents
Oxford, United Kingdom
Pages: 90 - 98  
Year of Publication: 1994
ISBN:0-89791-638-7
Authors
Erich Kaltofen  Department of Computer Science, Rensselaer Polytechnic Institute, Troy, New York
Austin Lobo  Department of Computer Science, Rensselaer Polytechnic Institute, Troy, New York
Sponsor
SIGSAM: ACM Special Interest Group on Symbolic and Algebraic Manipulation
Publisher
ACM  New York, NY, USA
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Downloads (6 Weeks): 2,   Downloads (12 Months): 32,   Citation Count: 8
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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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Berlekamp, E. R., "Factoring polynomials over finite fields," Bell Systems Tech. J. 46, pp. 1853-1859 (1967). Republished in revised form in: E. R. Berlekamp, Algebraic Coding Theory, Chapter 6, McGraw- Hill Publ., New York 1968.
 
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Berlekamp, E. R., "Factoring polynomials over large finite fields," Math. Comp. 24, pp. 713-735 (1970).
 
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Brent, R. P., Gustavson, F. G., and Yun, D. Y. Y., "Fast solution of Toeplitz systems of equations and computation of Pad~ approximants," J. Algorithms 1, pp. 259-295 (1980).
 
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Butler, M. C. R., "On the reducibility of polynomials over a finite field," Quart. J. Math., Oxford Ser. (2) 5, pp. 102-107 (1954).
 
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Camion, P., "Un algorithme de construction des idempotents primitifs d'ideaux d'algebres sur Fq," Ann. Discrete Math 12, pp. 55-63 (1982).
 
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Cantor~ D. G. and Zassenhaus, H., "A new algorithm for factoring polynomials over finite fields," Math. Comp. 36, pp. 587-592 (1981).
 
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Fleischmann, P., "Connections between the algorithms of Berlekamp and Niederreiter for factoring polynomials over {:q," Linear Algebra and Applications 192, pp. 01-108 (1993).
 
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Gao, S. and von zur Gathen, J., "Berlekamp's and Niederreiter's polynomial factorization algorithm," in Finite Fields: Theory, Applications and Algorithms, Contemporary Mathematics, edited by L. Mullen and P. J.-S. Shiue; Amer. Math. Soc., Providence, Rhode Island, to appear, 1994.
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yon zur Gathen, J. and Shoup, V., "Computing Probenius maps and factoring polynomials," Comput. Complexity 2, pp. 187-224 (1992).
 
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Kaltofen, E., Musser, D. R., and Saunders, B. D., "A generalized class of polynomials that are hard to factor," SIAM J. Comp. 12/3, pp. 473-485 (1983).
 
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Massey, J. L., "Shift-register synthesis and BCH decoding," IEEE Trans. Inf. Theory IT-15, pp. 122-127 (1969).
 
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Rabin, M. O., "Probabilistic algorithms in finite fields," SIAM J. Comp. 9, pp. 273-280 (1980).
 
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Schwarz, St., "On the reducibility of polynomials over a finite field," Quart. J. Math. Oxford Ser. (2) 7, pp. 110-124 (1956).
 
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Shoup, V., "Factoring polynomials over finite fields" asymptotic complexity vs. reality," in Proc. Int. IMACS Syrup. on Symbolic Comput., New Trends and Developments; Lille, France, pp. 124-129, 1993.
 
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Erich Kaltofen: colleagues
Austin Lobo: colleagues

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