1 Introduction -- 2 Basic cryptosystems -- A Classical cryptology -- 3 The RSA cryptosystem -- B Key addition and modular arithmetic -- 4 Group cryptography and discrete logarithms -- 5 Elliptic curves -- C Breaking the unbreakable -- 6 Differential and linear cryptanalysis -- 7 Hash functions -- D Codebooks -- 8 Signatures -- 9 Security and reductions -- E Steganography -- 10 Identification and authentication -- F Transposition ciphers -- 11 Random generation -- G Some cryptographers -- 12 Proof systems and zero knowledge -- H People using cryptography -- 13 Integral lattices -- I The Zimmermann telegram -- 14 Quantum computation -- J Enigma, Turing, and Colossus -- 15 The computer algebra toolbox -- List of notation and sources of quotations, images, and ornaments -- Bibliography -- Index.