The Development of the Number Field Sieve

Released on by Arjen K. Lenstra
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  • The Development of the Number Field Sieve Book Detail

  • Author : Arjen K. Lenstra
  • Release Date : 2006-11-15
  • Publisher : Springer
  • Genre : Mathematics
  • Pages : 138
  • ISBN 13 : 3540478922
  • File Size : 84,84 MB
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The Development of the Number Field Sieve by Arjen K. Lenstra PDF Summary

Book Description: The number field sieve is an algorithm for finding the prime factors of large integers. It depends on algebraic number theory. Proposed by John Pollard in 1988, the method was used in 1990 to factor the ninth Fermat number, a 155-digit integer. The algorithm is most suited to numbers of a special form, but there is a promising variant that applies in general. This volume contains six research papers that describe the operation of the number field sieve, from both theoretical and practical perspectives. Pollard's original manuscript is included. In addition, there is an annotated bibliography of directly related literature.

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The Development of the Number Field Sieve

The Development of the Number Field Sieve

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The number field sieve is an algorithm for finding the prime factors of large integers. It depends on algebraic number theory. Proposed by John Pollard in 1988,

The Development of the Number Field Sieve

The Development of the Number Field Sieve

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The number field sieve is an algorithm for finding the prime factors of large integers. It depends on algebraic number theory. Proposed by John Pollard in 1988,

Algebraic Number Theory

Algebraic Number Theory

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This undergraduate textbook provides an approachable and thorough introduction to the topic of algebraic number theory, taking the reader from unique factorisat