# Finding parity check matrix from linear code definition

Discussion in 'Mathematics' started by SlowerPhoton, Oct 8, 2018.

1. ### SlowerPhotonGuest

Say we know the definition of a general linear code. It could be something like this for example:

$$C = \{ x_1x_2\ldots x_n | x_i \in \mathbb{F}_q, \sum_{i=1}^n x_i^q \equiv 0 \pmod{q}\}$$

Is there a way to derive its parity check matrix from this information?