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per. Cyclic Code Numerical Problems. Important cyclic code numerical problems with complete solutions — suitable for Information Theory and Coding.
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PROBLEM 1. Encoding Using a Cyclic Code. A (7,4) cyclic code has generator polynomial:.
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PROBLEM 2. Syndrome Calculation. For a (7,4) cyclic code with g(x)=x3+x+1, determine whether the received word r =1011010 contains an error..
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PROBLEM 3. Check Whether a Polynomial is a Generator Polynomial.
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PROBLEM 4. Find the Generator Matrix. Construct the generator matrix for the (7,4) cyclic code generated by g(x)=1+x+x^3..
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PROBLEM 5. Systematic Encoding. Encode m=1101 using generator polynomial g(x)=x^3+x+1..
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PROBLEM 6. Error Detection Capability. A cyclic code has minimum distance dmin = 5. Find: (1) Number of detectable errors, (2) Number of correctable errors..
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PROBLEM 7. Find the Code Rate. A cyclic code has parameters (15,11). Find the code rate..
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Important Questions. Key theoretical and numerical questions for exam preparation on cyclic codes..