Let C be the set of all 4 x 4 matrices over F2 with even number...
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Let C be the set of all 4 x 4 matrices over F2 with even number of ones in every row and every column, for instance 1001 0011 1 0 1 1 1 1 0 1 is such a matrix. View C as a subset of F₂6. Part 1. (10 points) Prove that C is a linear code, and determine its dimension and minimal distance. Part 2. (10 points) How many codewords of minimal weight are there in C? Activate Windows Go to Settings to activate Windows. Let C be the set of all 4 x 4 matrices over F2 with even number of ones in every row and every column, for instance 1001 0011 1 0 1 1 1 1 0 1 is such a matrix. View C as a subset of F₂6. Part 1. (10 points) Prove that C is a linear code, and determine its dimension and minimal distance. Part 2. (10 points) How many codewords of minimal weight are there in C? Activate Windows Go to Settings to activate Windows.
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Part 1 Is C a linear code Yes C is a linear code Heres why Closure under vector additionIf A and B are two matrices in C with even numbers of ones in each row and columnthen their sum A B will also ha... View the full answer
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