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[1] San Ling, Enver Ozdemir and Chaoping Xing.
Constructing irreducible polynomials over finite fields.
Math. Comp.
81
(2012)
1663-1668.
Abstract, references, and article information
View Article: PDF
[2] Richard P. Brent, Samuli Larvala and Paul Zimmermann.
A primitive trinomial of degree 6972593.
Math. Comp.
74
(2005)
1001-1002.
MR 2114660.
Abstract, references, and article information
View Article: PDF
[3] 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.
Abstract, references, and article information
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This article is available free of charge
[4] Joachim von zur Gathen.
Irreducible trinomials over finite fields.
Math. Comp.
72
(2003)
1987-2000.
MR 1986817.
Abstract, references, and article information
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This article is available free of charge
[5] 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.
Abstract, references, and article information
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[6] Joachim von zur Gathen and Jürgen Gerhard.
Polynomial factorization over ${\mathbb F}_2$.
Math. Comp.
71
(2002)
1677-1698.
MR 1933050.
Abstract, references, and article information
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[7] 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.
Abstract, references, and article information
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[8] Shuhong Gao and Alan G. B. Lauder.
Hensel lifting and bivariate polynomial factorisation over finite fields.
Math. Comp.
71
(2002)
1663-1676.
MR 1933049.
Abstract, references, and article information
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This article is available free of charge
[9] Greg Stein.
Using the theory of cyclotomy to factor cyclotomic polynomials over finite fields.
Math. Comp.
70
(2001)
1237-1251.
MR 1709159.
Abstract, references, and article information
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[10] 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.
Abstract, references, and article information
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This article is available free of charge
[11] 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.
Abstract, references, and article information
View Article: PDF
This article is available free of charge
[12] 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.
Abstract, references, and article information
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This article is available free of charge
[13] A. Bérczes and L. Hajdu.
Computational experiences on the distances of polynomials to
irreducible polynomials .
Math. Comp.
66
(1997)
391-398.
MR 1377660.
Abstract, references, and article information
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[14] Wen Bao Han.
The coefficients of primitive polynomials over finite fields.
Math. Comp.
65
(1996)
331-340.
MR 1320895.
Abstract, references, and article information
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[15] Harald Niederreiter and Rainer Göttfert.
On a new factorization algorithm for polynomials
over finite fields
.
Math. Comp.
64
(1995)
347-353.
MR 1265019.
Abstract, references, and article information
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[16] Ilene H. Morgan and Gary L. Mullen.
Primitive normal polynomials over finite fields
.
Math. Comp.
63
(1994)
759--765, S19--S23.
MR 1257578.
Abstract, references, and article information
View Article: PDF
[17] Miodrag Živković.
Table of primitive binary polynomials. II
.
Math. Comp.
63
(1994)
301-306.
MR 1240662.
Abstract, references, and article information
View Article: PDF
[18] Rainer Göttfert.
An acceleration of the Niederreiter factorization
algorithm in characteristic $2$
.
Math. Comp.
62
(1994)
831-839.
MR 1218344.
Abstract, references, and article information
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[19] Harald Niederreiter.
Factoring polynomials over finite fields using
differential equations and normal bases
.
Math. Comp.
62
(1994)
819-830.
MR 1216262.
Abstract, references, and article information
View Article: PDF
[20] Miodrag Živković.
A table of primitive binary polynomials
.
Math. Comp.
62
(1994)
385-386.
MR 1201073.
Abstract, references, and article information
View Article: PDF
[21] Tom Hansen and Gary L. Mullen.
Primitive polynomials over finite fields
.
Math. Comp.
59
(1992)
639--643, S47--S50.
MR 1134730.
Abstract, references, and article information
View Article: PDF
[22] Victor Shoup.
Searching for primitive roots in finite fields
.
Math. Comp.
58
(1992)
369-380.
MR 1106981.
Abstract, references, and article information
View Article: PDF
[23] 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.
Abstract, references, and article information
View Article: PDF
[24] Victor Shoup.
New algorithms for finding irreducible polynomials
over finite fields
.
Math. Comp.
54
(1990)
435-447.
MR 993933.
Abstract, references, and article information
View Article: PDF
[25] Da Qing Wan.
Factoring multivariate polynomials over large
finite fields
.
Math. Comp.
54
(1990)
755-770.
MR 1011448.
Abstract, references, and article information
View Article: PDF
[26] R. Creutzburg and M. Tasche.
Parameter determination for complex
number-theoretic transforms using cyclotomic polynomials
.
Math. Comp.
52
(1989)
189-200.
MR 946602.
Abstract, references, and article information
View Article: PDF
[27] Harold M. Fredricksen, Alfred W. Hales and Melvin M. Sweet.
A generalization of Swan's theorem
.
Math. Comp.
46
(1986)
321-331.
MR 815852.
Abstract, references, and article information
View Article: PDF
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