Chapter 1. Preparatory knowledge -- Chapter 2. The basis of code theory -- Chapter 3. Shannon theory -- Chapter 4. Cryptosystem and authentication system -- Chapter 5. Prime test -- Chapter 6. Elliptic curve -- Chapter 7. Lattice-based cryptography.

We consider adaptive sequential lossy coding of bounded individual sequences when the performance is measured by the sequentially accumulated mean squared distortion. The encoder and the decoder are connected via a noiseless channel of capacity $R$ and both are assumed to have zero delay. No...