Factoring polynomials over finite fields with Drinfeld modules
HTML articles powered by AMS MathViewer
- by G. J. van der Heiden;
- Math. Comp. 73 (2004), 317-322
- DOI: https://doi.org/10.1090/S0025-5718-03-01598-9
- Published electronically: August 7, 2003
- PDF | Request permission
Addendum: Math. Comp. 73 (2004), 2109-2109.
Abstract:
In the following, we describe a way of factoring polynomials in $\mathbb {F}_q[X]$ with Drinfeld modules. We furthermore analyse the complexity of the algorithm and compare it to the well-known Cantor-Zassenhaus algorithm.References
- Henri Cohen, A course in computational algebraic number theory, Graduate Texts in Mathematics, vol. 138, Springer-Verlag, Berlin, 1993. MR 1228206, DOI 10.1007/978-3-662-02945-9
- David G. Cantor and Hans Zassenhaus, A new algorithm for factoring polynomials over finite fields, Math. Comp. 36 (1981), no. 154, 587–592. MR 606517, DOI 10.1090/S0025-5718-1981-0606517-5
- Rudolf Lidl and Harald Niederreiter, Finite fields, 2nd ed., Encyclopedia of Mathematics and its Applications, vol. 20, Cambridge University Press, Cambridge, 1997. With a foreword by P. M. Cohn. MR 1429394
- B. Heinrich Matzat, Introduction to Drinfeld modules, Drinfeld modules, modular schemes and applications (Alden-Biesen, 1996) World Sci. Publ., River Edge, NJ, 1997, pp. 3–16. MR 1630595
- Irving Reiner, On the number of matrices with given characteristic polynomial, Illinois J. Math. 5 (1961), 324–329. MR 139621
Bibliographic Information
- G. J. van der Heiden
- Affiliation: Vakgroep Wiskunde RuG, P.O. Box 800, 9700 AV Groningen, The Netherlands
- Email: gertjan@math.rug.nl
- Received by editor(s): July 13, 2001
- Received by editor(s) in revised form: January 25, 2002
- Published electronically: August 7, 2003
- Additional Notes: The author was supported by NWO Grant 613.007.040
- © Copyright 2003 American Mathematical Society
- Journal: Math. Comp. 73 (2004), 317-322
- MSC (2000): Primary 11G09, 13P05
- DOI: https://doi.org/10.1090/S0025-5718-03-01598-9
- MathSciNet review: 2034124