Enrollment End Date
Created bySourav Mukhopadhyay
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Last date for enrollment: January 22, 2018
About the course
The aim of this course is to introduce the student to the areas of cryptography and cryptanalysis. This course develops a basic understanding of the algorithms used to protect users online and to understand some of the design choices behind these algorithms. Our aim is to develop a workable knowledge of the mathematics used in cryptology in this course. The course emphasizes to give a basic understanding of previous attacks on cryptosystems with the aim of preventing future attacks.
To access the content, please enroll in the course.
Course Syllabus & Schedule
Sourav Mukhopadhyay is an associate professor at Indian Institute of Technology Kharagpur. He has completed his B.Sc (Honours in Mathematics) in1997 from University of Calcutta, India. He has done M.Stat (in statistics) and M.Tech (in computer science) from Indian Statistical Institute, India, in 1999 and 2001 respectively. He worked with Cryptology Research Group at Indian Statistical Institute as a PhD student and received his Ph.D. degree in Computer Science from there in 2007. He was a Research Assistant at the Computer Science department of School of Computing, National University of Singapore (NUS). He visited Inria Rocquencourt, project CODES, France and worked as a post-doctoral research fellows at the School of Computer Engineering, Nanyang Technological University (NTU), Singapore. He was a post-doctoral research fellows and a part time Lecturer with School of Electronic Engineering, Dublin City University (DCU), Ireland.
Week 1: Introduction to cryptography, Classical Cryptosystem, Cryptanalysis on Substitution Cipher (Frequency Analysis), Play fair Cipher, Block Cipher.
Week 2:Data Encryption Standard (DES), DES (Contd.), Triple DES, Modes of Operation, Stream Cipher, Pseudorandom Sequence.
Week 3: LFSR based Stream Cipher, Mathematical background, Abstract algebra, Number Theory.
Week 4: Modular Inverse, Extended Euclid Algorithm, Fermat's Little Theorem, Eular Phi-Function, Eular's theorem, Quadratic Residue, Polynomial Arithmetic.
Week 5: Advanced Encryption Standard (AES), Introduction to Public Key Cryptosystem, Diffie-Hellman Key Exchange, Knapsack Cryptosystem, RSA Cryptosystem.
Week 6: Primarily Testing, ElGamal Cryptosystem, Elliptic Curve over the Reals, Elliptic curve Modulo a Prime.
Week 7: Generalised ElGamal Public Key Cryptosystem, Chinese Remainder Theorem, Rabin Cryptosystem, Legendre and Jacobi Symbol.
Week 8: Message Authentication, Digital Signature, Key Management, Hash Function
Week 9: Universal Hashing, Cryptographic Hash Function, Secure Hash Algorithm (SHA), Digital Signature Standard (DSS), More on Key Exchange Protocol.
Week 10: Cryptanalysis, Time-Memory Trade-off Attack, Differential Cryptanalysis, More on Differential Cryptanalysis, Linear Cryptanalysis
Week 11: Solving discrete log problem, Algebraic Attack, Implementation Attacks, side channel attack.
Week 12: Internetwork Security, SSL, PGP, Cloud Security
1. The exam is optional for a fee.
2. Date and Time of Exams: April 28 (Saturday) and April 29 (Sunday) : Morning session 9am to 12 noon; Afternoon session: 2pm to 5pm
3. Exam for this course will be available in one session on both 28 and 29 April. The exact session it will be available in (FN/AN) - we shall inform by first week of January 2018.
4. Registration url: Announcements will be made when the registration form is open for registrations.
5. The online registration form has to be filled and the certification exam fee needs to be paid. More details will be made available when the exam registration form is published.