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Introduction to Modern Cryptography

Introduction to Modern CryptographyMihir Bellare1 Phillip Rogaway2 May 11, 20051 Department of Computer Science and Engineering, University of California at San Diego, La Jolla, CA92093, USA. of Computer Science, Kemper Hall of Engineering, University of California at Davis,Davis, CA 95616, USA; and Department of Computer Science, Faculty of Science, Chiang Mai University,Chiang Mai, 50200 Thailand. rogaway2 PrefaceThis is a set of class notes that we have been developing jointly for some years. We use them forcryptography courses that we teach at our respective institutions. Each time one of us teachesthe class, he takes the token and updates the notes a bit. The process has resulted in an evolvingdocument that has lots of gaps, as well as plenty of unharmonized parts. One day it will, withluck, be complete and viewpoint taken throughout these notes is to emphasize thetheory of Cryptography as itcan be applied to is an approach that the two of us have pursued in our research,and it seems to be a pedagogically desirable approach as would like to thank the following students of past versions of our courses who have pointedout errors and made suggestions for changes: Andre Barroso, Keith Bell, Kostas Bimpikis, Alexan-dra Boldyreva, Dustin Boswell, Brian Buesker, Michael Burton, Chris Calabro, Sashka Davis, AlexGantman, Bradley Huffaker, Hyun Min Kang, Vivek Manpuria, Chanathip Namprempre, AdrianaPalacio, Wenjing Rao, Fritz Sch

Chapter 1 Introduction Historically, cryptography arose as a means to enable parties to maintain privacy of the information they send to each other, even in the presence of an adversary with access to the communication

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