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MTH381 — Number Theory And Cryptography

Practice

Course Overview

MTH381 3 Credits L:3 T:0 P:0 Open Minor
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This course covers number theory concepts including division algorithms, modular arithmetic, primes, GCD/LCM, and linear congruences, together with cryptography topics such as classical ciphers, public-key cryptography (Diffie-Hellman, RSA, ElGamal), and cryptographic protocols including hash functions, MACs, and digital signatures.

Study Units

Unit 1

Number Theory-I

Notes MCQ Subjective
Unit 2

Number Theory-II

Notes MCQ Subjective
Unit 3

Number Theory-III

Notes MCQ Subjective
Unit 4

Cryptography

Notes MCQ Subjective
Unit 5

Public Key Cryptography

Notes MCQ Subjective
Unit 6

Cryptographic Protocols

Notes MCQ Subjective

Continuous Assessment

3 components

Best 2 of 3 CAs will be considered for evaluation.
Test 1 50%

arithmetic, arithmetic modulo m, representations of integers, binary expansions, octal and hexadecimal expansions, conversion between binary, octal, and hexadecimal expansions, algorithms, the Euclidean algorithm, the greatest common divisors as linear combinations, linear Congruences, the Chinese remainder theorem.

Week 4 / 5

Rubric
To test the understanding and the knowledge of the student about representation of numbers in binary, octal and hexadecimal also implementation of Euclidean algorithm, Chinese remainder theorem.

Test 2 50%

introduction, history and overview of cryptography, classical cryptography, shift cipher, affine cipher, substitution cipher, vigenere cipher, Hill cipher, permutation cipher, Cryptosystems, introduction to public-key cryptography, Diffie-Hellman key exchange, the RSA cryptosystem, ElGamal cryptosystem, RSA encryption, RSA decryption

Week 9 / 10

Rubric
To evaluate students' ability to analyze, apply, and reason through real-life or theoretical scenarios using mathematical concepts from classical and public-key cryptography.

Test 3 50%

Subjective test covering syllabus from CA1 and CA2

Week 11 / 12

Rubric
To test the subject knowledge of the students and provide opportunity to improve their CA performance incase of low marks or any missed CA

Exams & Practice

Mid Term Examination

Mid-semester comprehensive evaluation

20%

End Term Examination

Final semester comprehensive evaluation

50%

Type: Examination

MTH381 - FAQs

How many units are in MTH381?

MTH381 has 6 units. Each unit includes detailed notes and MCQ practice questions.

What exam resources are available for MTH381?

Unit-wise notes and MCQ practice are available. Exam resources coming soon.

How to prepare for MTH381 exams?

Study each unit's notes thoroughly, practice MCQs to test understanding, and attempt mock tests before exams. Focus on important topics and previous year questions.