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Timing analysis of targeted hunter searches

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Algorithmic Number Theory (ANTS 1998)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 1423))

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Abstract

One can determine all primitive number fields of a given degree and discriminant with a finite search of potential defining polynomials. We develop an asymptotic formula for the number of polynomials which need to be inspected which reflects both archimedean and non-archimedean restrictions placed on the coefficients of a defining polynomial.

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Authors and Affiliations

  1. Department of Mathematics, Arizona State University, Box 871804, 85287, Tempe, AZ

    John W. Jones

  2. Department of Mathematics, Hill Center, Rutgers University, 08903, New Brunswick, NJ

    David P. Roberts

Authors
  1. John W. Jones
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  2. David P. Roberts
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Joe P. Buhler

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© 1998 Springer-Verlag Berlin Heidelberg

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Jones, J.W., Roberts, D.P. (1998). Timing analysis of targeted hunter searches. In: Buhler, J.P. (eds) Algorithmic Number Theory. ANTS 1998. Lecture Notes in Computer Science, vol 1423. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0054880

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  • DOI: https://doi.org/10.1007/BFb0054880

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-64657-0

  • Online ISBN: 978-3-540-69113-6

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