Introduction to cryptography, Classical Cryptosystem, Block Cipher. Data Encryption Standard (DES), Triple DES, Modes of Operation, Stream Cipher. LFSR based Stream Cipher.

Mathematical background, Abstract algebra, Number Theory. Modular Inverse, Extended Euclid Algorithm, Fermat’s Little Theorem, Fermat number, Willson theorem and application. Euler Phi-Function, Eulers theorem, The Chinese Remainder Theorem, Fast Exponentiation.

Advanced Encryption Standard (AES), Introduction to Public Key Cryptosystem, Diffie-Hellman Key Exchange, Primarily Testing, ElGamal Cryptosystem, Elliptic Curve over the Reals, Elliptic curve Modulo a Prime. Generalized ElGamal Public Key Cryptosystem, Rabin Cryptosystem.

Message Authentication, Digital Signature, Key Management, Key Exchange, Hash Function. Cryptographic Hash Function, Secure Hash Algorithm (SHA), Digital Signature Standard (DSS). Stream Ciphers, Shamir’s secret sharing and BE, Identity-based Encryption (IBE).

To acquaint students with the basic concepts in need for security mechanism, classical and traditional Encryption techniques.

Identify and apply various concepts of number theory.

To impart knowledge to students regarding the significance of message confidentiality, Integrity and availability using Cryptography.

Under standing message authentication, digital signature

Understand Security of Classical Encryptions.

Realize the various mathematical techniques in cryptography, including number theory, Finite Field, modulo operator, Elliptic Curve Arithmetic and Discrete Logarithm.

Analyze Modern block and stream ciphers, Data Encryption Standard (DES), Advanced Encryption Standard (AES), IDEA and Key Exchange Algorithms.

Analyze Asymmetric ciphers: RSA, ElGamal, RABIN Cryptosystem.

Douglus R. Stinson, Cryptography: theory and practice, Chapman & Hall/CRC, 2006.

William Stallings, Cryptography and Network security: Principles and Practice, Pearson Education, India

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