Course Notes

Research / Modern Developments in Cryptography

Brush up on your proofs

      • Chapters 4, 5, 6, 7, 9, 10 of Hammack’s Book of Proof (free online).

Brush up on your programming

      • — I recommend you work through the tutorials in order (start at the header “Welcome”; the bit before is an ad for something else).

Books and Stories

      • Official Text: Introduction to Cryptography with Coding Theory, 2nd Edition, Wade Trappe, Lawrence C. Washington.
      • The Code Book: A popular history of cryptography, by Simon Singh.
      • David Kohel’s Cryptography: A free online text with Sage. Appendices A and B are particularly useful (intro to Sage for crypto).
      • Elementary Number Theory: Primes, Congruences, and Secrets: An excellent place to look up Sage commands in situ with number theory and cryptography topics.
      • Cryptography Stories: Some of the classics.
      • Further Reading: There are always more books.
        • A practical guide for developers:  Series Cryptography, by Jean-Philippe Aumasson
        • History: The Codebreakers D. Kahn.
        • Mathematical cryptography: Cryptography, Theory and Practice D. Stinson; An Introduction to Mathematical Cryptography, J. Hoffstein, J. Pipher and J. Silverman; A Course in Number Theory and Cryptography, N. Koblitz; Algebraic Aspects of Cryptography, N. Koblitz.
        • Coding Theory: A First Course in Coding Theory R. Hill; Elements of Algebraic Coding Theory, L. Vermani; Introduction to Coding Theory, J. H. van Lint
        • Number Theory: A Friendly Introduction to Number Theory J. Silverman; The Theory of Numbers, G. H. Hardy and E. M. Wright.
        • Algebra: A First Course in Abstract Algebra, J. Fraleigh; Abstract Algebra D. S. Dummit and R. M. Foote; Topics in Algebra, I. Herstein; Basic Algebra, I., II., N. Jacobson.
      • Reading about Bitcoin: A particularly nice account of Bitcoin can be found by Michael Nielson.



Online Cryptography Tools

General Math Resources

Note: the internet can in fact do your homework for you in many cases. So can your friends, your mother, and your tutor. That’s not the point. Study (and drink) responsibly.

CU Resources