Given the Parity Check Matrix of code $C$
How do I find the generator matrix for code $C$? The parity check matrix is not in the systematic form.
2026-04-03 04:25:16.1775190316
How do I find a Generator Matrix from Parity Check Matrix if the Parity Check Matrix is not in the systematic form?
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Hint: Your code is the nullspace (kernel) of the given matrix. So find a basis for the nullspace of your matrix. This gives you a basis for your code, from which you can get a generator matrix.