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Factoring polynomials over finite fields with Drinfeld modules
Author(s):
G.
J.
van der Heiden.
Journal:
Math. Comp.
73
(2004),
317-322.
MSC (2000):
Primary 11G09, 13P05
Posted:
August 7, 2003
Addenda:
Math. Comp. 73 (2004), 2109.
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Abstract:
In the following, we describe a way of factoring polynomials in with Drinfeld modules. We furthermore analyse the complexity of the algorithm and compare it to the well-known Cantor-Zassenhaus algorithm.
References:
-
- [Coh93]
- H. Cohen.
A course in computational algebraic number theory. Springer-Verlag, Berlin, 1993. MR 94i:11105 - [CZ81]
- D.G. Cantor and H. Zassenhaus.
A new algorithm for factoring polynomials over finite fields. Math. Comp., 36(154):587-592, 1981. MR 82e:12020 - [LN97]
- R. Lidl and H. Niederreiter.
Finite fields. Cambridge University Press, Cambridge, second edition, 1997. With a foreword by P. M. Cohn. MR 97i:11115 - [Mat97]
- B. H. Matzat.
Introduction to drinfeld modules. In Drinfeld modules, modular schemes and applications (Alden-Biesen, 1996), pages 3-16. World Sci. Publishing, River Edge, NJ, 1997. MR 99i:11045 - [Rei61]
- I. Reiner.
On the number of matrices with given characteristic polynomial. Illinois J. Math., 5:324-329, 1961. MR 25:3053
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Additional Information:
G.
J.
van der Heiden
Affiliation:
Vakgroep Wiskunde RuG, P.O. Box 800, 9700 AV Groningen, The Netherlands
Email:
gertjan@math.rug.nl
DOI:
10.1090/S0025-5718-03-01598-9
PII:
S 0025-5718(03)01598-9
Received by editor(s):
July 13, 2001
Received by editor(s) in revised form:
January 25, 2002
Posted:
August 7, 2003
Additional Notes:
The author was supported by NWO Grant 613.007.040
Copyright of article:
Copyright
2003,
American Mathematical Society
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