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Addition and Multiplication Tables in Algebra Coding Theory

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How do I figure out the addition and multiplication tables for: Z mod 2 [x] / (x^2) ?

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Addition and multiplication tables are found. The solution is detailed and well presented. The response received a rating of "5/5" from the student who originally posted the question.

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An element of Z mod 2 [x] / (x^2) has the form ax+b, where a,b is in Z mod 2={0,1}. So Z mod 2 [x] / (x^2) has 4 ...

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