Finite Field Constructions and Calculations are FUN 🎉 in Abstract Algebra!

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In Field Theory from Abstract Algebra, prime-power order finite fields are constructed using factor rings (a.k.a. quotient rings) of polynomial rings by maximal ideals (typically principal ideals generated by irreducible polynomials over the integral domain). Here we construct fields of orders 5^2 = 25 and 3^3 = 27.

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  1. Bill Kinney
  2. finite field
  3. finite fields
  4. construct finite field
  5. construct finite fields
  6. how to construct a finite field
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