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A new algorithm for factoring polynomials over finite fields. (English) Zbl 0493.12024

MSC:
11T06 Polynomials over finite fields
68W99 Algorithms in computer science
12E05 Polynomials in general fields (irreducibility, etc.)
12-04 Software, source code, etc. for problems pertaining to field theory
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[1] E. R. Berlekamp, Factoring polynomials over large finite fields, Math. Comp. 24 (1970), 713 – 735. · Zbl 0247.12014
[2] J. Calmet & R. Loos, An Improvement of Rabin’s Probabilistic Algorithm for Generating Irreducible Polynomials Over \( GF(p)\), Interner Bericht Nr. 3/80, Universität Karlsruhe, West Germany. · Zbl 0456.68034
[3] Donald E. Knuth, The art of computer programming, 2nd ed., Addison-Wesley Publishing Co., Reading, Mass.-London-Amsterdam, 1975. Volume 1: Fundamental algorithms; Addison-Wesley Series in Computer Science and Information Processing. · Zbl 0357.68001
[4] D. H. Lehmer, ”Computer technology applied to the theory of n numbers,” Studies in Number Theory (W. J. LeVeque, Ed.,), Math. Assoc. of America, 1969. · Zbl 0215.06404
[5] Robert T. Moenck, On the efficiency of algorithms for polynomial factoring, Math. Comp. 31 (1977), no. 137, 235 – 250. · Zbl 0348.65045
[6] Michael O. Rabin, Probabilistic algorithms in finite fields, SIAM J. Comput. 9 (1980), no. 2, 273 – 280. · Zbl 0461.12012 · doi:10.1137/0209024 · doi.org
[7] Daniel Shanks, Five number-theoretic algorithms, Proceedings of the Second Manitoba Conference on Numerical Mathematics (Univ. Manitoba, Winnipeg, Man., 1972) Utilitas Math., Winnipeg, Man., 1973, pp. 51 – 70. Congressus Numerantium, No. VII.
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