- Classical ciphers and their modern versions. Cryptanalysis of classical ciphers.
- Shannon’s theorem and perfect secrecy. Trapdoor one way functions for encryption, message authentication, public key encryption schemes, key exchange and signatures. Various applications to problems in practical world. Ideal secrecy and its application. Security of one-way-ness of functions.
- Pseudorandom sequences. Generation, testing and applications.
- Structures in Block and Stream ciphers, Hash functions. Design of ciphers for practical use. Using modern ciphers securely.
- Theory of Boolean systems of equations and solutions: Boolean elimination theory, Implicant based parallel all solution solver, orthogonal systems, applications to finite state dynamical systems.
- Cryptanalysis of block and stream ciphers by Boolean approach. Symbolic Boolean computation in SAGE.
- Approaches for parallel computation of factorization. Symbolic computation approach to number theory computations. Application to discrete log over finite fields and elliptic curves.
- Realization of schemes for end to end encryption, authenticated encryption, encryption dependent on error correction, simultaneous coding and encryption, variation of ciphers.
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