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Course Summary

This course will introduce you to the foundations of modern cryptography, with an eye toward practical applications.

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    Course Syllabus

    Introduction and Motivation

    • Classical Encryption Schemes
    • Principles of Modern Cryptography

    Perfect Secrecy and Its Limitations
    Private-Key Encryption

    • Computational Security
    • Pseudorandom Generators and Stream Ciphers
    • Pseudorandom Functions and Block Ciphers
    • Modes of Encryption
    • Security against Chosen-Ciphertext Attacks and Padding-Oracle Attacks

    Message Authentication

    • Secrecy vs. Integrity
    • Message Authentication Codes
    • CBC-MAC
    • Authenticated Encryption

    Hash Functions

    • Security Requirements
    • HMAC
    • Additional Applications of Hash Functions

    Number Theory and Mathematical Background
    The Public-Key Revolution

    • Key Distribution and Key Management
    • Diffie-Hellman Key Exchange

    Public-Key Encryption

    • Definitions of Security
    • Hybrid Encryption and the KEM/DEM Paradigm
    • El Gamal Encryption and DHIES
    • RSA Encryption and the RSA PKCS #1 Standard

    Digital Signatures

    • Signatures vs. MACs
    • RSA-Based Signatures and the RSA PKCS #1 Standard
    • Public-Key Infrastructures

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    Recommended Background

    • Intended for students majoring in either computer science or mathematics.
    • A prior course covering discrete mathematics and basic probability.
    • Prior exposure to algorithms will be helpful, but the necessary background can be picked up quickly.
    • Some of the examples and optional exercises will assume familiarity with programming in a C-like language, and some advanced topics will require mathematical maturity.

Course Fee:

Course Type:


Course Status:



1 - 4 hours / week

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