Basic Concepts in Number Theory and Finite Fields

• Euclid's Algorithm
• Euclid's Algorithm: Tabular Method
• Modular Arithmetic
• Modular Arithmetic Operations
• Modular Arithmetic Properties
• Group
• Cyclic Group
• Ring
• Field
• Finite Fields or Galois Fields
• GF(7) Multiplication Example
• Polynomial Arithmetic
• Polynomial Arithmetic with Mod 2 Coefficients
• Using a Generator
• Lab 4: Brute Force Password Cracking
• Step 1: Get the Password File
• Step 2: Find Your Password
• 3. Change Your Password

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