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July 18, 2022


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Finite Fields (PART 3) - Polynomial Arithmetic Theoretical Underpinnings of Modern Cryptography, PDF ebook.

  • 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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