Question: Do there exist codes with the following parameters. Explain your answer. (a) A binary code with parameters (8,29,3). (b) A binary linear code with parameters

Do there exist codes with the following parameters. Explain your answer.

Do there exist codes with the following parameters. Explain your answer. (a) A binary code with parameters (8,29,3). (b) A binary linear code with parameters [8,4,5]. (c) A binary linear code with parameters [8,5,5]. (d) A perfect binary code with parameters (63, 257,3). (e) A binary linear code with parameters [10,4,6]. Do there exist codes with the following parameters. Explain your answer. (a) A binary code with parameters (8,29,3). (b) A binary linear code with parameters [8,4,5]. (c) A binary linear code with parameters [8,5,5]. (d) A perfect binary code with parameters (63, 257,3). (e) A binary linear code with parameters [10,4,6]

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