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# 1252646246 - 14 a code polynomial If not find the syndrome...

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ECE 635 Dr. N. El Naga Homework # 6 6.1 For the code generated by: g(X) = X 4 + X + 1, encode m(X) = X 5 + 1. Add error pattern e(X) = X 3 + X 2 +X + 1. Calculate syndrome. 6.2 After doing problem 1, show that if the degree of e(X) is less than the degree of g(X) (or n- k), then s(X) = e(X). 6.3 A (15,7) cyclic code is generated by g(X) = 1 + X 4 + X 6 + X 7 + X 8 . Is v(X) = 1 + X + X 5 +X
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Unformatted text preview: 14 a code polynomial? If not, find the syndrome of v(X). 6.4 For the same (7,4) Hamming code, if a received vector is shifted into the decoding circuit: and the syndrome: "0 1 0" is generated, what is the erroneous bit? Now, if the same vector is shifted into the decoding circuit: What syndrome will be generated? Explain how you got your answer....
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