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  On the deterministic complexity of factoring polynomials over finite fields (1990) [17 citations — 4 self]

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by Victor Shoup
Inform. Process. Lett
http://www.shoup.net/papers/detfac.ps.Z
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Abstract:

Abstract. We present a new deterministic algorithm for factoring polynomials over Z p of degree n. We show that the worst-case running time of our algorithm is O(p

Citations

2005 The Design and Analysis of Computer Algorithms – Aho, Hopcroft, et al. - 1974
107 Factoring polynomials over large finite fields – Berlekamp - 1970
91 On fast multiplication of polynomials over arbitrary algebras – Cantor, Kaltofen - 1991
82 Computational Complexity of Algebraic and Numeric Problems – Borodin, Munro - 1975
73 A new algorithm for factoring polynomials over finite fields – Cantor, Zassenhaus - 1981
68 Probabilistic algorithms in finite fields – RABIN - 1980
40 Schnelle Multiplikation von Polynomen über Körpern der Charakteristik – Schönhage
38 Probabilistic algorithms in finite fields – BEN-OR - 1981
23 Realistic analysis of some randomized algorithms – Bach - 1987
17 Analysis of a simple factorization algorithm – Knuth, Pardo - 1976
9 Factoring univariate integral polynomials in polynomial average time – Collins - 1979
6 Improving an algorithm for factoring polynomials over a finite field and constructing large irreducible polynomials – Camion - 1983
3 Matrix multiplication via Behrend's method – Coppersmith, Winograd - 1987
3 On the distribution of running times of certain integer factoring algorithms – Hafner, McCurley - 1987
2 Factoring polynomials using fewer random bits – Bach, Shoup - 1990
1 zur Gathen. "Factoring polynomials and primitive elements for special primes – von - 1987
1 Equations over Finite Fields, Springer-Verlag – Schmidt - 1976