Question

The code that encodes a word of length 5 by repeating it three times is a $(15,5)$ polynomial code. What is its generator polynomial?

    The code that encodes a word of length 5 by repeating it three times is a $(15,5)$ polynomial code. What is its generator polynomial?

Applied Algebra: Codes, Ciphers and Discrete Algorithms

Applied Algebra: Codes, Ciphers and Discrete Algorithms

Darel W. Hardy, Fred… 2nd Edition

Chapter 10, Problem 14

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Step 1

The encoding process described takes a word of length 5 and repeats it three times to form a codeword of length 15. For example, if the input word is \(a_1a_2a_3a_4a_5\), the output codeword is \(a_1a_2a_3a_4a_5a_1a_2a_3a_4a_5a_1a_2a_3a_4a_5\). Show more…

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The code that encodes a word of length 5 by repeating it three times is a $(15,5)$ polynomial code. What is its generator polynomial?

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