Finite Fields (PART 3) – Polynomial Arithmetic

• Polynomial Arithmetic
• Arithmetic Operations on Polynomials
• Dividing One Polynomial by Another Using Long 7 Division
• Arithmetic Operations on Polynomial Whose 9 Coefficients Belong to a Finite Field
• Dividing Polynomials Defined over a Finite Field
• Let’s Now Consider Polynomials Defined over GF(2)
• Arithmetic Operations on Polynomials over GF(2)
• So What Sort of Questions Does Polynomial Arithmetic Address?
• Polynomials over a Finite Field Constitute a Ring
• When is Polynomial Division Permitted?
• Irreducible Polynomials, Prime Polynomials
• Homework Problems

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