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Topics in computational number theory inspired by Peter L. Montgomery

Topics in computational number theory inspired by Peter L. Montgomery (Loan 1 times)

Material type
단행본
Personal Author
Bos, Joppe W. Lenstra, A. K. (Arjen K.), 1956-.
Title Statement
Topics in computational number theory inspired by Peter L. Montgomery / edited by Joppe W. Bos, NXP Semiconductors, Belgium; Arjen K. Lenstra, EPFL, Lausanne, Switzerland.
Publication, Distribution, etc
Cambridge :   Cambridge University Press,   c2017.  
Physical Medium
xiii, 266 p. : ill. ; 24 cm.
Series Statement
London Mathematical Society lecture note series
ISBN
9781107109353 (pbk. : alk. paper)
Bibliography, Etc. Note
Includes bibliographical references and index.
Subject Added Entry-Topical Term
Number theory. Cryptography --Mathematics.
주제명(개인명)
Montgomery, Peter L.,   1947-.  
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010 ▼a 2017023049
020 ▼a 9781107109353 (pbk. : alk. paper)
035 ▼a (KERIS)REF000018438666
040 ▼a DLC ▼b eng ▼e rda ▼c DLC ▼d 211009
050 0 0 ▼a QA241 ▼b .T657 2017
082 0 0 ▼a 512.7 ▼2 23
084 ▼a 512.7 ▼2 DDCK
090 ▼a 512.7 ▼b M788b
245 0 0 ▼a Topics in computational number theory inspired by Peter L. Montgomery / ▼c edited by Joppe W. Bos, NXP Semiconductors, Belgium; Arjen K. Lenstra, EPFL, Lausanne, Switzerland.
260 ▼a Cambridge : ▼b Cambridge University Press, ▼c c2017.
300 ▼a xiii, 266 p. : ▼b ill. ; ▼c 24 cm.
490 1 ▼a London Mathematical Society lecture note series
504 ▼a Includes bibliographical references and index.
600 1 0 ▼a Montgomery, Peter L., ▼d 1947-.
650 0 ▼a Number theory.
650 0 ▼a Cryptography ▼x Mathematics.
700 1 ▼a Bos, Joppe W.
700 1 ▼a Lenstra, A. K. ▼q (Arjen K.), ▼d 1956-.
830 0 ▼a London Mathematical Society lecture note series.
945 ▼a KLPA

Holdings Information

No. Location Call Number Accession No. Availability Due Date Make a Reservation Service
No. 1 Location Science & Engineering Library/Sci-Info(Stacks2)/ Call Number 512.7 M788b Accession No. 121242832 Availability Available Due Date Make a Reservation Service B M

Contents information

Table of Contents

1. Introduction Joppe W. Bos, Arjen K. Lenstra, Herman te Riele and Daniel Shumow; 2. Montgomery arithmetic from a software perspective Joppe W. Bos and Peter L. Montgomery; 3. Hardware aspects of Montgomery modular multiplication Colin D. Walter; 4. Montgomery curves and the Montgomery ladder Daniel J. Bernstein and Tanja Lange; 5. General purpose integer factoring Arjen K. Lenstra; 6. Polynomial selection for the number field sieve Thorsten Kleinjung; 7. The block lanczos algorithm Emmanuel Thome; 8. FFT extension for algebraic-group factorization algorithms Richard P. Brent, Alexander Kruppa and Paul Zimmermann; 9. Cryptographic pairings Kristin Lauter and Michael Naehrig.


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