Let's say we have a message/vector $x = 1101$, so its length $k = 4$, it's alphabet $\Sigma \in \^k$, just like $x$. The methods are written here under the titles "Construction using inner products" and "Construction a generator matrix". Regardless, I'm still having trouble understanding them. I am aware that you can use Hadamard matrices as well, but the former two methods seem a lot easier. To achieve this I've been looking around on Wikipedia, where it gives directions on how to encode messages using inner product and generator matrices. Then another program takes the encoded message, and produces the original message. So I'm writing a program that takes as input a message, and produces the encoded version of that message using Hadamard encoding.
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