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Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 3000))

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Abstract

In this chapter, we describe and analyze our first randomized primality test, which admits extremely efficient implementations and a reasonable worst-case error probability of \(\frac{1}{4}\). The error analysis employs simple group theory and the Chinese Remainder Theorem.

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© 2004 Springer-Verlag Berlin Heidelberg

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Dietzfelbinger, M. (2004). 5. The Miller-Rabin Test. In: Primality Testing in Polynomial Time. Lecture Notes in Computer Science, vol 3000. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-25933-6_5

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  • DOI: https://doi.org/10.1007/978-3-540-25933-6_5

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-40344-9

  • Online ISBN: 978-3-540-25933-6

  • eBook Packages: Springer Book Archive

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