Build a solid mathematical basis to understand foundations of cryptography
Formally understand the notions related to security authentication and privacy.
Provide a rigorous treatment of the emerging and key subject subarea of CSE - security.
Basic functions of cryptology - encryption, signature and identification problems.
Mathematical basics - basics of computational number theory - elliptic curves - pairing functions.
Fundamental constructs -distinguishability - pseudo-random number generator - one way functions with trapdoor - some number theoretic candidates - RSA and discrete log variants.
security models for encryption schemes - CPA,CCA1,CCA2 security - secure hash functions - random oracle and standard models of proof techniques under various security models. RSA, El Gamal, Rabin, and Cremar-Shoup encryption schemes.
Digital signatures - provably secure signature schemes - signcryption - ID-based and certificateless cryptology.
Identification schemes - zero knowledge protocols - perfect, statistical, and computational zero knowledge - applications to commitment schemes.
Oded Goldreich, Foundations of Cryptography ( two volumes) Cambridge university Press, 2001, 2004. ( Indian print available).
J.Katz, Y.Lindell, Introduction to Modern Cryptography, Chapman Hall, USA 2007.
Wen Bo Mao, Modern cryptography - Theory and practice, Prentice Hall, USA, 2003 ( Indian edition available)