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Algebra
Linear codes and error correction
Parity-check matrix

28. Linear codes and error correction

Parity-check matrix

Level: avanzado

In 28. Linear codes and error correction

A parity-check matrix

H

satisfies, for every codeword

\mathbf c

H\mathbf c^T=\mathbf0.

Equivalent form

H\in\mathbb F_q^{(n-k)\times n}.

Moreover, with compatible conventions for

G

and

H

GH^T=0.

Tags

algebra
codes
linear codes
CS
algebra formula

Detail

Defines linear constraints that every valid codeword must satisfy.

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