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Finding parity check matrix from linear code definition

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

  1. SlowerPhoton

    SlowerPhoton Guest

    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?

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