Is that true that in a non binary code C every codeword has even weight if and only if every row of G has even weight?
2026-03-27 16:46:27.1774629987
If gen matrix has even weigth rows, do codewords have even weigth for non binary code?
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No. Look at the $2 \times 2$ matrices $G$ over $\mathbb{Z}_3$. (There are only $3^4$ of them, so you can enumerate them to find a counterexample.)