The field GF(4) is obtained by extending the field F2 by the root of the polynomical x^2+x+1. I found that field elements are {0,1,x,x+1}. Now I'm struggling with finding the order and minimum polynomial of each element. Could you help me a little? I tried to find order of each element. |0| = 1 |1| = 1 |x| = 3 |x+1| = 3 Are these answers correct? And what is the minimum polynomial for each element? How to find?
2026-04-05 20:41:10.1775421670
Problems with finding minimum polynomial of each element in Galois Field
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