1
MIT Laboratory of Computer Science, 545 Technology Square, Cambridge, MA 02139, USA. E-
mail: shafi@theory.lcs.mit.edu ; Web page: http://theory.lcs.mit.edu/ shafi
2
Department of Computer Science and Engineering, Mail Code 0114, University of California
at San Diego, 9500 Gilman Drive, La Jolla, CA 92093, USA. E-mail: mihir@cs.ucsd.edu ; Web
page: http://www-cse.ucsd.edu/users/mihir
, Foreword
This is a set of lecture notes on cryptography compiled for 6.87s, a one week long course on cryptography
taught at MIT by Shafi Goldwasser and Mihir Bellare in the summers of 1996–2001. The notes were
formed by merging notes written for Shafi Goldwasser’s Cryptography and Cryptanalysis course at MIT with
notes written for Mihir Bellare’s Cryptography and network security course at UCSD. In addition, Rosario
Gennaro (as Teaching Assistant for the course in 1996) contributed Section 9.6, Section 11.4, Section 11.5,
and Appendix D to the notes, and also compiled, from various sources, some of the problems in Appendix E.
Cryptography is of course a vast subject. The thread followed by these notes is to develop and explain the
notion of provable security and its usage for the design of secure protocols.
Much of the material in Chapters 2, 3 and 7 is a result of scribe notes, originally taken by MIT graduate
students who attended Professor Goldwasser’s Cryptography and Cryptanalysis course over the years, and
later edited by Frank D’Ippolito who was a teaching assistant for the course in 1991. Frank also contributed
much of the advanced number theoretic material in the Appendix. Some of the material in Chapter 3 is
from the chapter on Cryptography, by R. Rivest, in the Handbook of Theoretical Computer Science.
Chapters 4, 5, 6, 8 and 10, and Sections 9.5 and 7.4.6, were written by Professor Bellare for his Cryptography
and network security course at UCSD.
All rights reserved.
Shafi Goldwasser and Mihir Bellare Cambridge, Massachusetts, August 2001.
Stuvia customers have reviewed more than 700,000 summaries. This how you know that you are buying the best documents.
Quick and easy check-out
You can quickly pay through credit card or Stuvia-credit for the summaries. There is no membership needed.
Focus on what matters
Your fellow students write the study notes themselves, which is why the documents are always reliable and up-to-date. This ensures you quickly get to the core!
Frequently asked questions
What do I get when I buy this document?
You get a PDF, available immediately after your purchase. The purchased document is accessible anytime, anywhere and indefinitely through your profile.
Satisfaction guarantee: how does it work?
Our satisfaction guarantee ensures that you always find a study document that suits you well. You fill out a form, and our customer service team takes care of the rest.
Who am I buying these notes from?
Stuvia is a marketplace, so you are not buying this document from us, but from seller MJOMBA437. Stuvia facilitates payment to the seller.
Will I be stuck with a subscription?
No, you only buy these notes for $10.49. You're not tied to anything after your purchase.