Topics in Galois Fields - Algorithms and Computation in Mathematics
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Published By Springer International Publishing

9783030608040, 9783030608064

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Complete Normal Bases and Generalized Cyclotomic Modules

Topics in Galois Fields - Algorithms and Computation in Mathematics ◽

10.1007/978-3-030-60806-4_12 ◽

2020 ◽

pp. 581-621

Author(s):

Dirk Hachenberger ◽

Dieter Jungnickel

Keyword(s):

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Normal Bases and Cyclotomic Modules

Topics in Galois Fields - Algorithms and Computation in Mathematics ◽

10.1007/978-3-030-60806-4_11 ◽

2020 ◽

pp. 535-579

Author(s):

Dirk Hachenberger ◽

Dieter Jungnickel

Keyword(s):

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Field Extensions and the Basic Theory of Galois Fields

Topics in Galois Fields - Algorithms and Computation in Mathematics ◽

10.1007/978-3-030-60806-4_3 ◽

2020 ◽

pp. 101-173

Author(s):

Dirk Hachenberger ◽

Dieter Jungnickel

Keyword(s):

Basic Theory ◽

Galois Fields ◽

Field Extensions

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The Algebraic Closure of a Galois Field

Topics in Galois Fields - Algorithms and Computation in Mathematics ◽

10.1007/978-3-030-60806-4_4 ◽

2020 ◽

pp. 175-196

Author(s):

Dirk Hachenberger ◽

Dieter Jungnickel

Keyword(s):

Algebraic Closure ◽

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Basics on Polynomials

Topics in Galois Fields - Algorithms and Computation in Mathematics ◽

10.1007/978-3-030-60806-4_2 ◽

2020 ◽

pp. 71-100

Author(s):

Dirk Hachenberger ◽

Dieter Jungnickel

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Shift Register Sequences

Topics in Galois Fields - Algorithms and Computation in Mathematics ◽

10.1007/978-3-030-60806-4_9 ◽

2020 ◽

pp. 427-487

Author(s):

Dirk Hachenberger ◽

Dieter Jungnickel

Keyword(s):

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Matrices Over Finite Fields

Topics in Galois Fields - Algorithms and Computation in Mathematics ◽

10.1007/978-3-030-60806-4_7 ◽

2020 ◽

pp. 297-353

Author(s):

Dirk Hachenberger ◽

Dieter Jungnickel

Keyword(s):

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Factorization of Univariate Polynomials over Finite Fields

Topics in Galois Fields - Algorithms and Computation in Mathematics ◽

10.1007/978-3-030-60806-4_6 ◽

2020 ◽

pp. 241-295

Author(s):

Dirk Hachenberger ◽

Dieter Jungnickel

Keyword(s):

Finite Fields ◽

Polynomials Over Finite Fields ◽

Univariate Polynomials

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Irreducible Polynomials Over Finite Fields

Topics in Galois Fields - Algorithms and Computation in Mathematics ◽

10.1007/978-3-030-60806-4_5 ◽

2020 ◽

pp. 197-239

Author(s):

Dirk Hachenberger ◽

Dieter Jungnickel

Keyword(s):

Finite Fields ◽

Irreducible Polynomials ◽

Polynomials Over Finite Fields

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Characters, Gauss Sums, and the DFT

Topics in Galois Fields - Algorithms and Computation in Mathematics ◽

10.1007/978-3-030-60806-4_10 ◽

2020 ◽

pp. 489-533

Author(s):

Dirk Hachenberger ◽

Dieter Jungnickel

Keyword(s):

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