SHA-256 Hash Algorithm Implementation Assessment

This repository contains solutions to five problems focusing on different aspects of the Secure Hash Standard (SHA-256), as specified in NIST FIPS 180-4.

Problems Overview

1. Binary Words and Operations - Implementation of SHA-256 logical functions
2. Fractional Parts of Cube Roots - Generation of SHA-256 constants from prime cube roots
3. Padding - Message padding according to SHA-256 specification
4. Hashes - Core SHA-256 hash computation function
5. Passwords - Password cracking and security analysis

Getting Started

Prerequisites

• Python 3.12 or higher
• Git

Setup

1. Clone the repository:

   git clone https://github.com/ArielCNunes/computational-theory-assessment.git
   cd computational-theory-assessment

2. Run the notebook:

   jupyter notebook problems.ipynb

Dependencies

• numpy - For 32-bit integer operations
• jupyter - For notebook environment

References

• NIST FIPS 180-4 Secure Hash Standard
• Full references included in the notebook