Diffie-Hellman Key Exchange
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Cybersecuritycryptographykey-exchangepublic-key

Diffie-Hellman Key Exchange

Implementation of the Diffie-Hellman key exchange protocol for secure key establishment.

Date
2024
Category
Cybersecurity

Overview

Lab 6 introduces public-key cryptography through the implementation of the Diffie-Hellman key exchange protocol. This foundational protocol enables two parties to establish a shared secret over an insecure channel without prior communication. The project implements modular exponentiation, explores the discrete logarithm problem that provides security, and demonstrates man-in-the-middle attack vulnerabilities and their mitigations.

Technologies Used

PythonModular ArithmeticNumber TheoryPublic Key Cryptography

Key Features

Complete Diffie-Hellman key exchange implementation

Efficient modular exponentiation (square-and-multiply)

Prime number generation and validation

Primitive root verification

Man-in-the-middle attack demonstration

Parameter selection and security analysis

Showing 6 of 8 features

Challenges

Implementing efficient modular exponentiation for large numbers, selecting secure parameters (prime and generator), understanding the discrete logarithm problem, demonstrating MITM vulnerabilities clearly.

Outcome & Impact

Successfully implemented secure key exchange protocol, demonstrated protocol security based on discrete logarithm hardness, identified and explained MITM vulnerabilities and authentication requirements.

How I Grew

Mastered public-key cryptography fundamentals

Learned the discrete logarithm problem and its cryptographic applications

Understood modular arithmetic and efficient exponentiation algorithms

Gained insights into man-in-the-middle attacks and authentication needs

Developed skills in selecting secure cryptographic parameters

Learned the importance of authenticated key exchange protocols