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Timing analysis of targeted hunter searches
Author(s) -
John W. Jones,
David P. Roberts
Publication year - 1998
Publication title -
lecture notes in computer science
Language(s) - English
Resource type - Book series
SCImago Journal Rank - 0.249
H-Index - 400
eISSN - 1611-3349
pISSN - 0302-9743
ISBN - 3-540-64657-4
DOI - 10.1007/bfb0054880
Subject(s) - discriminant , computer science , degree (music) , polynomial , linear discriminant analysis , finite field , algebra over a field , mathematics , algorithm , discrete mathematics , artificial intelligence , pure mathematics , mathematical analysis , physics , acoustics
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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