A communication device (alternatively, device) includes a processor configured to support communications with other communication device(s) and to generate and process signals for such communications. In some examples, the device includes a communication interface and a processor, among other possible circuitries, components, elements, etc. to support communications with other communication device(s) and to generate and process signals for such communications. In some examples, a device encodes information using a low density parity check (LDPC) code to generate an LDPC coded signal and transmits the LDPC coded signal to another communication device. in other examples, a device receives an LDPC coded signal from another communication device and decodes the LDPC coded signal using an LDPC matrix. The LDPC matrix includes a left hand side matrix and a right hand side matrix (e.g., having CSI (Cyclic Shifted Identity) sub-matrices on a main diagonal and another diagonal adjacently located to the main diagonal).