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Thread: Finite field with four elements?

  1. #1 Finite field with four elements? 
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    Jan 2010
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    Take K=Z2 (integers modulo 2), and f = t^2 + t + 1.

    I cant understand why there are 4 equivalence classes mod f, and why these are [0] , [1] , [t] , [t+1]. Where do the t and t+1 come from?

    It is described here:
    http://en.wikipedia.org/wiki/Finite_field#Examples_2


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