Topics in Computational Number Theory Inspired by Peter L. Montgomery
This is the homepage of the book titled “Topics in Computational Number Theory Inspired by Peter L. Montgomery” edited by Joppe W. Bos and Arjen K. Lenstra and published by Cambridge University Press. The page provides links to the author versions of the chapters in the book.
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Thanks to Nicole Verna for the cover design.
Table of Contents
- Chapter 1. Introduction
by Joppe W. Bos, Arjen K. Lenstra, Herman te Riele and Daniel Shumow - Chapter 2. Montgomery arithmetic from a software perspective
by Joppe W. Bos and Peter L. Montgomery - Chapter 3. Hardware aspects of Montgomery modular multiplication
by Colin D. Walter - Chapter 4. Montgomery curves and the Montgomery ladder
by Daniel J. Bernstein and Tanja Lange - Chapter 5. General purpose integer factoring
by Arjen K. Lenstra - Chapter 6. Polynomial selection for the number field sieve
by Thorsten Kleinjung - Chapter 7. The block Lanczos algorithm
by Emmanuel Thomé - Chapter 8. FFT extension for algebraic-group factorization algorithms
by Richard P. Brent, Alexander Kruppa and Paul Zimmermann - Chapter 9. Cryptographic pairings
by Kristin Lauter and Michael Naehrig