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Lecture 7: Finite Fields (PART 4) - Purdue University
engineering.purdue.eduA FINITE FIELD? We do know that GF(23) is an abelian group because of the operation of polynomial addition satisfies all of the requirements on a group operator and because polynomial addition is commutative. [Every polynomial in GF(23) is its own additive inverse because of how the two numbers in GF(2) behave with respect to modulo 2 addition.]
Finite Fields - Mathematical and Statistical Sciences
math.ucdenver.eduConstructing Finite Fields There are several ways to represent the elements of a finite field. The text describes a representation using polynomials. This method is a bit cumbersome for doing calculations. We will give other representations that are more computationally friendly. Using the fact that a field is a vector space over its prime subfield