Channel Coding: Theory, Algorithms, and Applications

of coordinates of $\mathbf{E}(\mathbf{H})$. This set may be expressed in a more compact way as

$\mathtt{s}=\{(i_0\text{,}{j}_0)\text{,}(i_1\text{,}{j}_1)\text{,}\dots \text{,}(i_{h-1}\text{,}{j}_{h-1})\text{,}(i_0\text{,}{j}_0)\}\text{,}$ (30)

(30)

such that $i_z\ne i_{z+1}\text{,}{j}_z\ne j_{z+1}$, and $a_{i_z\text{,}{j}_z}\ne -1$ for all $z\in \{0\text{,}\dots \text{,}h-1\}$. Note that the converse is not necessarily true, i.e., an ...