A binary linear [6,2] code is described by its generator matrix [1 0 1 0 1...

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A binary linear [6,2] code is described by its generator matrix [1 0 1 0 1 0 G = a) How many codewords are there in this code? [1] b) Explain how the minimum weight among the non-zero codewords gives the minimum distance of a linear code. [2] c) List all the codewords of the code, G, and determine the code's minimum distance. [3] d) Find the parity check matrix of the code. [4] A binary linear [6,2] code is described by its generator matrix [1 0 1 0 1 0 G = a) How many codewords are there in this code? [1] b) Explain how the minimum weight among the non-zero codewords gives the minimum distance of a linear code. [2] c) List all the codewords of the code, G, and determine the code's minimum distance. [3] d) Find the parity check matrix of the code. [4]

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a There are 26 64 codewords in this code b The minimum weight among the nonzero codewords is the min... View the full answer