2. A binary cyclic code of (15,7) has generator polynomial g(x) = (x+x+1)(x+x³+x²+x+1). Give a generator matrix and parity-check matrix for the code. b. Consider the n =7 binary cyclic code...

2. A binary cyclic code of (15,7) has generator polynomial g(x) = (x*+x+1)(x*+x³+x²+x+1). Give a<br>generator matrix and parity-check matrix for the code.<br>b. Consider the n =7 binary cyclic code generated by g(x) = 1 +x+ x. Find all code words of the<br>code.<br>

Extracted text: 2. A binary cyclic code of (15,7) has generator polynomial g(x) = (x*+x+1)(x*+x³+x²+x+1). Give a generator matrix and parity-check matrix for the code. b. Consider the n =7 binary cyclic code generated by g(x) = 1 +x+ x. Find all code words of the code.

Jun 07, 2022

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2. A binary cyclic code of (15,7) has generator polynomial g(x) = (x+x+1)(x+x³+x²+x+1). Give a generator matrix and parity-check matrix for the code. b. Consider the n =7 binary cyclic code...

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2. A binary cyclic code of (15,7) has generator polynomial g(x) = (x*+x+1)(x*+x³+x²+x+1). Give a generator matrix and parity-check matrix for the code. b. Consider the n =7 binary cyclic code...

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2. A binary cyclic code of (15,7) has generator polynomial g(x) = (x+x+1)(x+x³+x²+x+1). Give a generator matrix and parity-check matrix for the code. b. Consider the n =7 binary cyclic code...