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The average number of modular factors in Trager's polynomial factorization algorithm

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Published:01 July 1997Publication History
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References

  1. 1.ABBOTT, J. A., BRADFORD, R. J., AND DAVENPORT, J. H. A remark on factorization. SIGSAM Bulletin 19, 2 (1985), 31 33 and 37.]] Google ScholarGoogle ScholarDigital LibraryDigital Library
  2. 2.CARLITZ, L. The arithmetic of polynomials in a Galois field. American Journal of Mathematics 54 (1932), 39- 50.]]Google ScholarGoogle ScholarCross RefCross Ref
  3. 3.COLLINS, G. F,., AND ENCARNACION, M. J. Improved techniques for factoring univaxiate polynomials. Journal of Symbolic Computation 21 (1996), 313-327.]] Google ScholarGoogle ScholarDigital LibraryDigital Library
  4. 4.ENC:ARNA(_:ION, N'I. J. Factoring polynomials over algebraic number fields via norms. Proceedings of ISSAC '97 (Hawaii, USA, I997), ACM Press, pp. 265-270.]] Google ScholarGoogle ScholarDigital LibraryDigital Library
  5. 5.KALTOFEN, E., MUSSER, D. R., AND SAUNDERS, B. D. A generalized class of polynomials that are hard to factor. SIAM Journal on Computing 12, 3 (1983), 473- 483.]]Google ScholarGoogle ScholarCross RefCross Ref
  6. 6.KNOPFMA('.ItER, A., AND KNOPFMACttER, 3. Counting irreducible factors of polynomials over a finite field. Discrete Mathematics i12 (1993), 103--.118.]] Google ScholarGoogle ScholarDigital LibraryDigital Library
  7. 7.KNUTH. D. E. Fundamental Algorithms: The Art of Computer Programming I, second ed. Addison-Wesley, 1973.]] Google ScholarGoogle ScholarDigital LibraryDigital Library
  8. 8.KNUTtt, D. E. Seminumerical Algorithms: The Art of Computer PrograTnming 2, second ed. Addison-Wesley, 1981.]]Google ScholarGoogle Scholar
  9. 9.TRAGER, B. M. Algebraic factoring and rational function integration. In Proceedings of the 1975 Symposium on Symbolic and Algebraic Computation (1976), ACM Press, pp. 219- 226.]] Google ScholarGoogle ScholarDigital LibraryDigital Library

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  1. The average number of modular factors in Trager's polynomial factorization algorithm

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          cover image ACM Conferences
          ISSAC '97: Proceedings of the 1997 international symposium on Symbolic and algebraic computation
          July 1997
          414 pages
          ISBN:0897918754
          DOI:10.1145/258726

          Copyright © 1997 ACM

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          Publication History

          • Published: 1 July 1997

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