| LDPC |
Low-density parity-check |
| QC |
Quasi-cyclic |
| BIBD |
Balanced incomplete block design |
| CPM |
Circulant permutation matrix |
| QC-LDPC |
Quasi-cyclic low-density parity-check |
| SPA |
Sum-product algorithm |
|
|
Finite field of order p
|
|
|
Multiplicative group of order
|
| G(p) |
A (3, 29)-regular bipartite graph |
| p ≡ 1
|
Condition for existence of primitive JL-th root (for our parameters, JL = 87) |
|
-cycle |
A cycle of length
|
|
|
87th cyclotomic polynomial |
| GCD |
Greatest common divisor |
|
|
The prime set corresponding to girth 6 |
|
|
The prime set corresponding to girth 8 |
|
|
The prime set corresponding to girth 10 |
|
|
Parity-check matrix |
| EXIT |
Extrinsic information transfer |
| VND |
Variable-node decoder |
| CND |
Check-node decoder |
| AWGN |
Additive white Gaussian noise |
| BPSK |
Binary phase shift keying |
| SNR |
Signal-to-noise ratio |
| BER |
Bit error rate |
| FER |
Frame error rate |