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[1] Niko Rebenich, T. Aaron Gulliver, Stephen Neville and Ulrich Speidel. An analog of the prime number theorem for finite fields via truncated polylogarithm expansions. Math. Comp.
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[2] Jean Bourgain, Sergei V. Konyagin and Igor E. Shparlinski. Character sums and deterministic polynomial root finding in finite fields. Math. Comp. 84 (2015) 2969-2977.
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[3] San Ling, Enver Ozdemir and Chaoping Xing. Constructing irreducible polynomials over finite fields. Math. Comp. 81 (2012) 1663-1668.
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[4] Richard P. Brent, Samuli Larvala and Paul Zimmermann. A primitive trinomial of degree 6972593. Math. Comp. 74 (2005) 1001-1002. MR 2114660.
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[5] Peter Fleischmann, Markus Chr. Holder and Peter Roelse. The black-box Niederreiter algorithm and its implementation over the binary field. Math. Comp. 72 (2003) 1887-1899. MR 1986810.
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[6] Joachim von zur Gathen. Irreducible trinomials over finite fields. Math. Comp. 72 (2003) 1987-2000. MR 1986817.
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[7] Richard P. Brent, Samuli Larvala and Paul Zimmermann. A fast algorithm for testing reducibility of trinomials mod~2 and some new primitive trinomials of degree 3021377. Math. Comp. 72 (2003) 1443-1452. MR 1972745.
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[8] Joachim von zur Gathen and Jürgen Gerhard. Polynomial factorization over ${\mathbb F}_2$. Math. Comp. 71 (2002) 1677-1698. MR 1933050.
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[9] Toshihiro Kumada, Hannes Leeb, Yoshiharu Kurita and Makoto Matsumoto. Corrigenda to ``New primitive $t$-nomials $(t=3,5)$ over $GF(2)$ whose degree is a Mersenne exponent,'' and some new primitive pentanomials. Math. Comp. 71 (2002) 1337-1338. MR 1898761.
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[10] Shuhong Gao and Alan G. B. Lauder. Hensel lifting and bivariate polynomial factorisation over finite fields. Math. Comp. 71 (2002) 1663-1676. MR 1933049.
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[11] Greg Stein. Using the theory of cyclotomy to factor cyclotomic polynomials over finite fields. Math. Comp. 70 (2001) 1237-1251. MR 1709159.
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[12] Toshihiro Kumada, Hannes Leeb, Yoshiharu Kurita and Makoto Matsumoto. New primitive $t$-nomials $(t = 3,5)$ over $GF(2)$ whose degree is a Mersenne exponent. Math. Comp. 69 (2000) 811-814. MR 1665959.
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[13] Peter Roelse. Factoring high-degree polynomials over $\mathbf F_2$ with Niederreiter's algorithm on the IBM SP2. Math. Comp. 68 (1999) 869-880. MR 1604383.
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[14] Kie H. Ham and Gary L. Mullen. Distribution of irreducible polynomials of small degrees over finite fields . Math. Comp. 67 (1998) 337-341. MR 1434940.
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[15] A. Bérczes and L. Hajdu. Computational experiences on the distances of polynomials to irreducible polynomials . Math. Comp. 66 (1997) 391-398. MR 1377660.
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[16] Wen Bao Han. The coefficients of primitive polynomials over finite fields. Math. Comp. 65 (1996) 331-340. MR 1320895.
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[17] Harald Niederreiter and Rainer Göttfert. On a new factorization algorithm for polynomials over finite fields . Math. Comp. 64 (1995) 347-353. MR 1265019.
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[18] Ilene H. Morgan and Gary L. Mullen. Primitive normal polynomials over finite fields . Math. Comp. 63 (1994) 759--765, S19--S23. MR 1257578.
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[19] Miodrag Živković. Table of primitive binary polynomials. II . Math. Comp. 63 (1994) 301-306. MR 1240662.
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[20] Rainer Göttfert. An acceleration of the Niederreiter factorization algorithm in characteristic $2$ . Math. Comp. 62 (1994) 831-839. MR 1218344.
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[21] Harald Niederreiter. Factoring polynomials over finite fields using differential equations and normal bases . Math. Comp. 62 (1994) 819-830. MR 1216262.
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[22] Miodrag Živković. A table of primitive binary polynomials . Math. Comp. 62 (1994) 385-386. MR 1201073.
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[23] Tom Hansen and Gary L. Mullen. Primitive polynomials over finite fields . Math. Comp. 59 (1992) 639--643, S47--S50. MR 1134730.
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[24] Victor Shoup. Searching for primitive roots in finite fields . Math. Comp. 58 (1992) 369-380. MR 1106981.
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[25] Yoshiharu Kurita and Makoto Matsumoto. Primitive $t$-nomials $(t=3,5)$ over ${\rm GF}(2)$ whose degree is a Mersenne exponent $\le 44497$ . Math. Comp. 56 (1991) 817-821. MR 1068813.
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[26] Victor Shoup. New algorithms for finding irreducible polynomials over finite fields . Math. Comp. 54 (1990) 435-447. MR 993933.
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[27] Da Qing Wan. Factoring multivariate polynomials over large finite fields . Math. Comp. 54 (1990) 755-770. MR 1011448.
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[28] R. Creutzburg and M. Tasche. Parameter determination for complex number-theoretic transforms using cyclotomic polynomials . Math. Comp. 52 (1989) 189-200. MR 946602.
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[29] Harold M. Fredricksen, Alfred W. Hales and Melvin M. Sweet. A generalization of Swan's theorem . Math. Comp. 46 (1986) 321-331. MR 815852.
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