Topics in Computational Number Theory Inspired by Peter L. Montgomery by Joppe W. Bos

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  • Title: Topics in Computational Number Theory Inspired by Peter L. Montgomery
  • Author: Joppe W. Bos
  • Category: Other
  • Date: 09/01/17
  • Lenguage: English
  • Pages: unknown
  • ISBN: 9781108547130

 

Ebook description:

Peter L. Montgomery has made vital contributions to computational quantity concept, introducing many fundamental instruments akin to Montgomery multiplication, Montgomery simultaneous inversion, Montgomery curves, and the Montgomery ladder. This guide options state-of-the-art analysis in computational quantity concept associated to Montgomery’s work and its influence on computational effectivity and cryptography. Topics cowl a variety of matters akin to Montgomery multiplication for each {hardware} and software program implementations; Montgomery curves and twisted Edwards curves as proposed in the newest requirements for elliptic curve cryptography; and cryptographic pairings. This guide supplies a complete overview of integer factorization methods, together with devoted chapters on polynomial choice, the block Lanczos technique, and the FFT extension for algebraic-group factorization algorithms. Graduate college students and researchers in utilized quantity concept and cryptography will profit from this survey of Montgomery’s work.

 

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