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1252646245

# 1252646245 - 5.4 Construct an(n-k-stage shift register...

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ECE 635 Dr. N. El Naga Homework # 5 5.1 List the code words of the (7,3) code with g(X) = X 4 + X 3 + X 2 +1. Find d min . 5.2 X 15 + 1 = (X + 1)(X 4 + X + 1)(X 4 + X 3 +1)(X 4 +X 3 + X 2 + X + 1) . (x 2 + X +1) Determine g(X) for a (15,9) code. Determine g(X) for a (15,5) code. 5.3 (X 17 + 1) = (X + 1)(X 8 + x 7 + X 6 + X 4 + X 2 + X + 1) . (X 8 + X 5 +X 4 +X 3 + 1) For which values of k do (17,k) codes exist?
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Unformatted text preview: 5.4 Construct an (n-k)-stage shift register encoder for the (15, 5) cyclic code generated by: g(X) = 1 + X + X 2 + X 4 + X 5 + X 8 + X 10 . 6.5 g(X) = (X 3 + X + 1)(X 4 + X + 1). Determine n, the length of the code generated by g(x)....
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