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Finding Irreducible and Primitive Polynomials

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Finite Fields: Theory and Computation

Part of the book series: Mathematics and Its Applications ((MAIA,volume 477))

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Abstract

Another important area of the theory of finite fields is designing fast algorithms to find irreducible and primitive polynomials over finite fields. These polynomials have many applications in coding theory, cryptography, complexity theory, computer science and computational mathematics; see the books [208, 1510, 1743, 1741, 1808] and the recent papers [26, 366, 535, 780, 972, 1129, 1131, 2185, 2631].

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© 1999 Springer Science+Business Media Dordrecht

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Shparlinski, I.E. (1999). Finding Irreducible and Primitive Polynomials. In: Finite Fields: Theory and Computation. Mathematics and Its Applications, vol 477. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-9239-0_4

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  • DOI: https://doi.org/10.1007/978-94-015-9239-0_4

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-90-481-5203-2

  • Online ISBN: 978-94-015-9239-0

  • eBook Packages: Springer Book Archive

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