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Birla Institute of Technology and Science, Pilani - K.K. Birla Goa Campus

Second Semester, 2013-14Course Handout (Part-II)

In addition to part I (General Handout for all courses appended to the time table) this portion gives fur-

ther specific details regarding the course.

Course Title: Cryptography Course No.:BITS C463

Instructor-in-charge:Dr. S.K. Sahay Chamber No.: A-407

Objective:

A comprehensive introduction to applied cryptography for the understanding of how cryptographic

schemes works. The course aims to prepare the students for taking more rigorous and specialized courses

in this and related fields.

Course Description:

The course will provide a comprehensive introduction to applied cryptography, suited to students

and practitioners in industry. The necessary mathematical concepts will be introduce in a way that stu-

dents with a minimum calculus background will understand. Focus will be on practical relevance by

introducing most crypto algorithms that are used in modern real-world applications. The important issue

of software and hardware implementation for the algorithm will be discuss. Also, lightweight ciphers,

important cryptographic protocols, modes of operation, security services will be taught.

Text Book:

T1: Applied Cryptography, John Wiley & Sons, 2nd Edition, 2006.Bruce Schneier.

Reference Books:

R1: Cryptography and Network Security, 4th Edition, 2006, Pearson Education.William Stallings.

R2: An Introduction to Cryptography, Chapman & Hall/CRC, 2nd Edition, 2007.Richard A. Mollin.

R3: Introduction to Cryptography, Springer, 2nd Edition, 2004.Johannes Buchmann.

Evaluation:

Component Nature Examination Date Weightage

Test-I Closed Book 18/09/2013 30%

Test-II Closed Book 28/10/2013 25%

Comprehensive Test Open Book 03/12/2013 45%

P.T.O

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Course Plan:

L. No. Topics References

1 - 3

Basics of cryptography, Simple symmetric encryption, General

thoughts on breaking cryptosystems, Modular arithmetic, Groups,

Integer rings and some historical ciphers.

T1: 1.1, 1.3-1.5; R1:

4.1, 4.2; Class notes

4 - 6

Encryption and decryption of stream ciphers, Random numbers,

Cryptographically secure pseudo random number generators, Onetime pad, Linear feedback shift register, Trivium.

T1: 1.5, 9.4, 9.5, 9.7,

16.1-16.4; R1: 7.4;Class notes

7 - 10

Fiestel ciphers, Encryption, Decryption, Security and Imple-

mentations of Data Encryption Standard (DES), 3DES, DESX,

Lightweight cipher.

T1: 12.1-12.3, 15.1-

15.3; Class notes

11 - 14 Galois fields, Internal structure of Advance Encryption Standard

(AES), Security and implementation of AES.

R1: 4.3-4.6, 5.1-5.2;

Class notes

15 - 17 Modes of operations of block ciphers: ECB, CBC, OFB, CFB,

CTR, Enhancing the security of block ciphers,

T1: 9.3, 9.6, 9.8, 9.9;

Class notes

18 - 22

Hash functions from block ciphers, MD4 family, Secure hash al-

gorithm, SHA-I, Message authentication codes from hash func-

tions and block ciphers, Galois counter message authentication

code.

T1: 18.1, 18.7, 18.10,

18.11; R1: 12.3;

Class notes

23 - 25 Aspects of Public-key cryptography, Relevant number theory for

public-key algorithms.

T1: 11.3-11.5; R1:

8.1-8.4; Class notes

26 - 28 Encryption, decryption, efficiency & correctness of RSA, Prime

numbers, RSA in practice and attacks.

T1: 19.3; R1: 9.1-9.2;

Class notes

29 - 31

Diffe-Hellman key exchange and its security issues, Discrete log-

arithm problem, Elgamal encryption scheme.

T1: 19.6; R1: 10.1-

10.2; Class notes

32 - 34 Elliptic curve cryptosystem, Discrete logarithm problem with el-

liptic curves, Diffe-Hellman key exchange with elliptic curve.

T1: 19.8; R1: 10.3-

10.4; Class notes

35 - 37 Principles of digital signatures, RSA, Elliptic curve and Elgamal

digital signature scheme, Digital signature algorithm.

T1: 20.1, 20.4 R1:

13.1-13.3, Class notes

38 - 40 Qunatum Cryptography Class notes

41 Conclusion and Summary.

Make-up policy: Make-up will be granted strictly on prior permission and on justifiable groundsonly.

Course notices:All notices for this course will be display on CS & IS notice board and/or ftp://10.1.1.223/.

Consultation hours: Will be announced in the class.

Instructor-in-Charge

BITS C463