The Development of the number field sieve

Bibliographic Information

The Development of the number field sieve

A.K. Lenstra, H.W. Lenstra, Jr. (eds.)

(Lecture notes in mathematics, 1554)

Springer-Verlag, c1993

  • : gw
  • : us

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Note

Includes bibliographical references and index

Description and Table of Contents

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.

Table of Contents

The number field sieve: An annotated bibliography.- Factoring with cubic integers.- The number field sieve.- The lattice sieve.- Factoring integers with the number field sieve.- Computing a square root for the number field sieve.- A general number field sieve implementation.

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Details

  • NCID
    BA20897796
  • ISBN
    • 3540570136
    • 0387570136
  • LCCN
    93005229
  • Country Code
    gw
  • Title Language Code
    eng
  • Text Language Code
    eng
  • Place of Publication
    Berlin ; New York
  • Pages/Volumes
    viii, 131 p.
  • Size
    24 cm
  • Classification
  • Subject Headings
  • Parent Bibliography ID
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