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Module CRYPTOGRAPHY

Module code: MT312S
Credits: 5
Semester: 2
Department: MATHEMATICS AND STATISTICS
International: Yes
Overview Overview
 

Module Objective: To introduce students to Cryptography.

Basic concepts: enciphering, deciphering, plaintext, ciphertext, primes and primality testing.
Simple cryptosystems: substitution cipher, Vigenere cipher, Caesar cipher, Hill cipher.
Public key cryptograpy: RSA and possible attacks on RSA. Discrete Logarithm as a one-way function. Diffie-Hellman key exchange.
Primality testing, Carmichael numbers. Factoring, Fermatís method, other methods.

Also included will be some of the following topics:
Stream ciphers, one-time pad. Randomness and pseudo-randomness of a bit sequence. Shift registers and linear recursions. Attacks on shift register sequences for one-time pad, Berlekamp-Massey algorithm, one-way functions.
Coin toss over a telephone. Digital signatures. Authentication. The Data Encryption Standard (DES), Advanced Encryption Standard (AES). Perfect Secrecy. Unicity Distance. Certificate authorities and trust.
Computation using mathematical/statistical software.

Open Learning Outcomes
 
Open Teaching & Learning methods
 
Open Assessment
 
Open Repeat options
 
Open Pre-Requisites
 
Open Timetable
 
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