Song Y. Yan
Number Theory
puting
Second Edition
Foreword by Martin E. Hellman
With 26 Figures, 78 Images, and 33 Tables
Springer
Berlin
Heidelberg
New York
Barcelon a
Hong Kong
Londo n
Milan Springer
Paris
Tokyo
Song Y. Yan
Computer Science Foreword
Aston University
Birmingham B4 7ET
UK
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Modern cryptography depends heavily on number theory, with primality test-
ing, factoring, discrete logarithms (indices), and elliptic curves being perhap s
the most prominent subject. areas. Since my own graduate study had empha-
sized probability theory, statistics, and real analysis, when I started work-
puting Classification (1998) : , -4, D .4 .6, B .2 .4, 11 .2 ing in cryptography around 1970, I found myself swimming in an unknown ,
AMS Mathematics Subject Classification (1991) : 1 lAxx, 1 IT71 , murky sea. I thus know from personal experience how essible numbe r
11Yxx, 11Dxx, 11Z05, 68Q25, 94A6 0 theory can be to the uninitiated . Thank you for your efforts to ease th e
transition for a new generation of cryptographers .
Library of Congress Cataloging-in-Publication Data applied for
Thank you also for helping Ralph Merkle receive the credit he deserves .
Die Deutsche Bibliothek - CIP-Einheitsaufnahm e
Diffie, Rix-est . Shamir . Adleman and I had the good luck to get expedite d
Yan, Song Y.: review of our pa
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