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An Introduction to Cryptography, Second Edition
DISCRETE MATHEMATICS AND ITS APPLICATIONS
Series Editor KENNETH H. ROSEN
CRYPTOGRAPHY
Second Edition
© 2007 by Taylor & Francis Group, LLC
An INTRODUCTION to
MATHEMATICS
DISCRETE
and
ITS APPLICATIONS
S e r i e s E d i t o r
K e n n e t h H . R o s e n , P h . D .
Juergen Bierbrauer, I n t r o d u c t i o n t o C o d i n g T h e o r y
Kun-Mao Chao and Bang Ye Wu, S p a n n i n g Tr e e s a n d O p t i m i z a t i o n P r o b l e m s
Charalambos A. Charalambides, E n u m e r a t i v e C o m b i n a t o r i c s
Henri Cohen, Gerhard Frey, et al., H a n d b o o k o f E l l i p t i c a n d H y p e r e l l i p t i c C u r v e C r y p t o g r a p h y
Charles J. Colbourn and Jeffrey H. Dinitz, T h e C R C H a n d b o o k o f C o m b i n a t o r i a l D e s i g n s
Steven Furino, Ying Miao, and Jianxing Yin, F r a m e s a n d R e s o l v a b l e D e s i g n s : U s e s ,
C o n s t r u c t i o n s , a n d E x i s t e n c e
Randy Goldberg and Lance Riek, A P r a c t i c a l H a n d b o o k o f S p e e c h C o d e r s
Jacob E. Goodman and Joseph O’Rourke, H a n d b o o k o f D i s c r e t e a n d C o m p u t a t i o n a l G e o m e t r y,
S e c o n d E d i t i o n
Jonathan L. Gross and Jay Yellen, G r a p h T h e o r y a n d I t s A p p l i c a t i o n s , S e c o n d E d i t i o n
Jonathan L. Gross and Jay Yellen, H a n d b o o k o f G r a p h T h e o r y
Darrel R. Hankerson, Greg A. Harris, and Peter D. Johnson, I n t r o d u c t i o n t o I n f o r m a t i o n
T h e o r y a n d D a t a C o m p r e s s i o n , S e c o n d E d i t i o n
Daryl D. Harms, Miroslav Kraetzl, Charles J. Colbourn, and John S. Devitt, N e t w o r k R e l i a b i l i t y :
E x p e r i m e n t s w i t h a S y m b o l i c A l g e b r a E n v i r o n m e n t
Leslie Hogben, H a n d b o o k o f L i n e a r A l g e b r a
Derek F. Holt with Bettina Eick and Eamonn A. O’Brien, H a n d b o o k o f C o m p u t a t i o n a l G r o u p T h e o r y
David M. Jackson and Terry I. Visentin, A n A t l a s o f S m a l l e r M a p s i n O r i e n t a b l e a n d
N o n o r i e n t a b l e S u r f a c e s
Richard E. Klima, Neil P. Sigmon, and Ernest L. Stitzinger, A p p l i c a t i o n s o f A b s t r a c t A l g e b r a
w i t h M a p l e
™
a n d M AT L A B ® , S e c o n d E d i t i o n
Patrick Knupp and Kambiz Salari, Ve r i f i c a t i o n o f C o m p u t e r C o d e s i n C o m p u t a t i o n a l S c i e n c e
a n d E n g i n e e r i n g
William Kocay and Donald L. Kreher, G r a p h s , A l g o r i t h m s , a n d O p t i m i z a t i o n
Donald L. Kreher and Douglas R. Stinson, C o m b i n a t o r i a l A l g o r i t h m s : G e n e r a t i o n E n u m e r a t i o n
a n d S e a r c h
© 2007 by Taylor & Francis Group, LLC
Continued Titles
Charles C. Lindner and Christopher A. Rodgers, D e s i g n T h e o r y
Alfred J. Menezes, Paul C. van Oorschot, and Scott A. Vanstone, H a n d b o o k o f A p p l i e d
C r y p t o g r a p h y
Richard A. Mollin, A l g e b r a i c N u m b e r T h e o r y
Richard A. Mollin, C o d e s : T h e G u i d e t o S e c r e c y f r o m A n c i e n t t o M o d e r n T i m e s
Richard A. Mollin, F u n d a m e n t a l N u m b e r T h e o r y w i t h A p p l i c a t i o n s
Richard A. Mollin, A n I n t r o d u c t i o n t o C r y p t o g r a p h y, S e c o n d E d i t i o n
Richard A. Mollin, Q u a d r a t i c s
Richard A. Mollin, R S A a n d P u b l i c - K e y C r y p t o g r a p h y
Carlos J. Moreno and Samuel S. Wagstaff, Jr., S u m s o f S q u a r e s o f I n t e g e r s
Dingyi Pei, A u t h e n t i c a t i o n C o d e s a n d C o m b i n a t o r i a l D e s i g n s
Kenneth H. Rosen, H a n d b o o k o f D i s c r e t e a n d C o m b i n a t o r i a l M a t h e m a t i c s
Douglas R. Shier and K.T. Wallenius, A p p l i e d M a t h e m a t i c a l M o d e l i n g : A M u l t i d i s c i p l i n a r y
A p p r o a c h
Jörn Steuding, D i o p h a n t i n e A n a l y s i s
Douglas R. Stinson, C r y p t o g r a p h y : T h e o r y a n d P r a c t i c e , T h i r d E d i t i o n
Roberto Togneri and Christopher J. deSilva, F u n d a m e n t a l s o f I n f o r m a t i o n T h e o r y a n d
C o d i n g D e s i g n
Lawrence C. Washington, E l l i p t i c C u r v e s : N u m b e r T h e o r y a n d C r y p t o g r a p h y
© 2007 by Taylor & Francis Group, LLC
DISCRETE MATHEMATICS AND ITS APPLICATIONS
Series Editor KENNETH H. ROSEN
CRYPTOGRAPHY
Second Edition
RICHARD A. MOLLIN
Boca Raton London New York
Chapman & Hall/CRC is an imprint of the
Taylor & Francis Group, an informa business
© 2007 by Taylor & Francis Group, LLC
An INTRODUCTION to
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