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Introduction Caeser cipher

Modular arithmetic, shift cipher

Affine Cipher, Vigenere Cipher

Prefect secrecy, Application of Shift Cipher

Problem Discussion on Affine cipher and Perfect Secrecy

Product Cipher, Block Cipher, Modes of Operation for Block Cipher

Substitution Permutation network, Fiestel Cipher

S-Box Theory

Cryptanalysis and its Variants, Linear Attack

Problem Discussion

Public Key Cryptology Introduction RSA Cryptosystem

Complexity analysis of Euclidian Algorithm and RSA Cryptosystem square and multiply algorithm

Primality testing: Miler-Rabin Algorithm, Legendre Symbol and Jacobi Symbol

Efficien Computation of Jacobi Symbol Primality Testing:Solovay-Stassen Algorithm

Problem Discussion on Jacobi Symbol Calculation and RSA Cryptosystem

Cryptographic hash function: Introduction

Random Oracle model, Security of hash functions

Randomized Algorithm and its application on Preimage resistance and collision resistance

Iterated Hash Functions

Problem Discussionn

Description:

Cryptology is employed to communicate securely, authenticate messages and sign digitally. This four-week course “Introduction to Cryptology” is designed for both computer science and mathematics students, touching upon the most important ideas and techniques of present day cryptology. All the pre-requisite topics are revised during the lectures making this course self-contained and accessible to a wider audience. It is hoped that this course will prepare interested students for a more extensive course on Information Security.

Introduction to Cryptology

NPTEL

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#Computer Science #Cryptography #Algorithms #Randomized Algorithms #Block Ciphers #Public Key Cryptography #Cryptanalysis

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