Parity-Check Polynomial \(h(D)\) with a degree \(k\) can uniquely specify a \((n, k)\) #Cyclic Code equivalent to Parity-Check Matrix#. It is defined as follow:
$$ \begin{align} h(D) &= 1 + \sum^{k-1}_{i=1} h_i D^i + D^k\\ h(D) g(D) \mod (D^n + 1) &= 0 \end{align} $$