- Course Topics
- Cryptography Tools Sheet (frequencies, Vig. square and mult. mod 26) (tex)
- Mod 26 Multiplication Table (tex)
- Vigenere Square (tex)
- Blank Groupwork Report Sheet (tex)
- Blank Cryptosystem Organizer Sheet (tex)
- Magic Box Cheat Sheet
- RSA Cheat Sheet
- Practice proofs worksheet and solutions (tex)
- Legendre Jacobi Cheat Sheet
Brush up on your proofs
- Chapters 4, 5, 6, 7, 9, 10 of Hammack’s Book of Proof (free online).
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.
- 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: 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.
- Sage – Free, sophisticated math software for indepth exploration.
- Campus Computer Labs – Use Sage (via link above), Latex, Maple, Mathematica, Matlab etc.
- Search by software – e.g. tex, mathematica
- Latex – the only reasonable way to type math.
- Wolfram Alpha – Simple math computation without learning a syntax.
- Online Cryptography Tools
- The Black Chamber – Simon Singh’s online guide to historical codes and ciphers. Includes coding/decoding and cracking applets.
- Cryptool Online – Online tools and applets for many many classical and modern cryptographic systems.
- Enigma Machine Simulators and Software – The definitive online catalogue of Enigma software and everything else (including purchasing parts).
- Cipher Wheel: Java Applet and Paper Cutout – In case you’ve lost yours.
- US Army Naval cipher device M-94 applet – Play with it online
- State of the Art
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.
- Study Math by Speaking It
- Tips on Doing Homework
- Tips on Reading your Textbook
- Dr. Math – Question answer service (by ‘Math Doctors’). Use the search box first; there’s a 99% chance someone has asked your question before.
- Mathematics at StackExchange – Question answer service (by the ‘hive mind’). Use the search box first; there’s a 98% chance someone has asked your question before.
- Math Forum Digital Library – Catalogue of web resources.
- The Undergraduate Mathematics Resource Center is in Math 175 (first floor of math building), and is open M-Th 9-5 and F 9-2. Although tutors no longer serve this course, an area has been set up where you can meet your peers to work together.
- A tutor list is available.