Syndrome
= Syndrome
{title2=$s=Hy^T$}
The syndrome of a received word $y$ with respect to a <parity-check matrix> $H$ is $s=Hy^T$. It vanishes exactly when $y$ is a codeword and otherwise identifies the coset containing the error pattern.
= Syndrome
{title2=$s=Hy^T$}
The syndrome of a received word $y$ with respect to a <parity-check matrix> $H$ is $s=Hy^T$. It vanishes exactly when $y$ is a codeword and otherwise identifies the coset containing the error pattern.