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Subquadratic-time factoring of polynomials over finite fields
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Source Annual ACM Symposium on Theory of Computing archive
Proceedings of the twenty-seventh annual ACM symposium on Theory of computing table of contents
Las Vegas, Nevada, United States
Pages: 398 - 406  
Year of Publication: 1995
ISBN:0-89791-718-9
Authors
Erich Kaltofen  Department of Computer Science, Rensselaer Polytechnic Institute, Troy, New York
Victor Shoup  Universität des Saarlandes, FB 14-Informatik, PF 15 11 50, D-66041 Saarbrücken, Germany
Sponsor
SIGACT: ACM Special Interest Group on Algorithms and Computation Theory
Publisher
ACM  New York, NY, USA
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Downloads (6 Weeks): 1,   Downloads (12 Months): 18,   Citation Count: 7
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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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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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Coppersmith, D., "Rapid multiplication of rectangular ma-trices," SIAM J. Comput. 11/3, pp. 4617-471 (1982).
 
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Fleischmann, P., "Connections between tlhe algorithms of Berlekamp and Niederreiter for factoring polynomials over Fq ," Linear Algebra and Applicaticms 192, pp. 101- 108 (1993).
 
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von zur Gathen, J. and Shoup, V., "Computing Frobenius maps and factoring polynomials," Comput. Complexity 2, pp. 187-224 (1992).
 
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Griewank, A., "Achieving logarithmic growth of temporal and spatial complexity in reverse automatic differentia-tion," Optimization Methods & Software 1, pp. 35-54 (1992).
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Lidl, R. and Niederreiter, H., Finite Field% Addkon-Wesley, Reading, MA, 1983.
 
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Linnainmaa, S., "Taylor expansion of the accumulated rounding error," BIT 16, pp. 146-160 (1976).
 
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Lotti, G. and Romani, F., "On the asymptotic complexity of rectangular matrix multiplication," Theoretical CompIJt. Sci. 23, pp. 171-185 (1983).
 
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Massey, J. L., "Shift-register synthesis and BCH decoding," IEEE Trans. M. Theory lT-15, pp. 122-127 (1969).
 
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Niederreiter, H., "A new efficient factorization algorithm for polynomials over small finite fields," Applic. Algebra En-gin., Commun. Comput. 4, pp. 81-87 (1993).
 
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Ostrowski, G. M., Wolin, Ju. M., and Borisow, W. W,, '@her die Berechnung von Ableitungen," Wissenschaftliche Zeitschrift Techn. Hochsch. Chem. Leuna-Merseburg 13/4, pp. 382-384 (1971). In German.
 
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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., 'LA new polynomial factorization algorithm and its implementation," Manuscript, Univ. d. Saarlandes, Saarbrucken, Germany, August 1994b.
 
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CITED BY  7

Collaborative Colleagues:
Erich Kaltofen: colleagues
Victor Shoup: colleagues