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Finding irreducible polynomials over finite fields

Published: 01 November 1986 Publication History
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    References

    [1]
    E. Bach and J. Shallit, ~Factoring with Cyclotomic Polynomials, ~ Proceedings 26th FOCS, 1985, pp. 443-450.
    [2]
    E.R. Berlekamp, "Algebraic Coding Theory, ~ McGraw-Hill Publishing Company, New York, 1968.
    [3]
    B. Chor and R. Rivest, ~A Knapsack Type Public Key Cryptosystem Based on Arithmetic in Finite Fields, ~ Advances in Cryptography (Ed., G. Goos and J. Hartmanis), Springer- Verlag, New York, pp. 54-65.
    [4]
    J. Von zur Gathen, ~Irreducible Polynomials Over Finite Fields," Manuscript, 1985.
    [5]
    E.E. Kummer, Uber die Divisoren gewisser Formen der Zahlen, welche aus der Theorie der Kreistheilung entstehen, J. reine angew. Math. 30 (1846), 107-116; pp. 193-202 in Collected papers, Springer-Verlag, Berlin, 1975.
    [6]
    L. Mirsky, "The Number of Representations of an Integer as the Sum of a Prime and a k-free Integer, ~ Amer. Math. Monthly 56 (1949), 17-19.
    [7]
    P.J. McCarthy, ~Algebraic Extensions of Fields, ~ Blaisdell Publishing Company, Waltham, Mass., 1966
    [8]
    M.O. Rabin, "Probabilistie Algorithms in Finite Fields," SIAM J. Comput., Vol. 9, (1980), pp. 273-280.
    [9]
    L. Washington, "Cyclotomic Fields," Springer- Verlag, New York 1980.
    [10]
    J.H. Wilkinson, "The Algebraic Eigenvalue Problem," Oxford Clarendon Press, 1965, pp. 353-355 and 410.

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    cover image ACM Conferences
    STOC '86: Proceedings of the eighteenth annual ACM symposium on Theory of computing
    November 1986
    461 pages
    ISBN:0897911938
    DOI:10.1145/12130
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    Published: 01 November 1986

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    May 28 - 30, 1986
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