Question: Let a be a primitive element in GF(24). Use Table 2.8 to solve the following simultaneous equations for X. Y, and Z: X +aY

Let a be a primitive element in GF(24). Use Table 2.8 to

Let a be a primitive element in GF(24). Use Table 2.8 to solve the following simultaneous equations for X. Y, and Z: X +aY + Z =a", X + aY +a7z =a, aX + Y +aZ = . TABLE 2.8: Three representations for the elements of GF(2*) generated by p(X) = 1+ X + x. Power Polymomial representation representation representation 4-Tuple (000 0) (1000) (0 100) (0010) (0 00 1) (1100) (0 110) (0 011) (1 10 1) (1010) (0 101) (111 0) (0111) (1111) (101 1) (1001) 1 1 Q3 1+a a + a? a? + a3 1+a +q? 1++q? a +q? a10 + a3 1+a +a? + a +a? +a3 q13 a14 1 1

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