Table 8 (IT + RS) decoding and ML decoding gaps to capacity for irregular uniform distribution (Δ 2) versus regular distribution (Δ 1) of extra-repair symbols for GLDPC-Staircase codes with N1=5 and \(r_{L} = \frac {2}{3}\)
From: GLDPC-Staircase AL-FEC codes: a fundamental study and new results
Decoding type | r G | E | Δ 1 | f(%) | Δ 2 |
|---|---|---|---|---|---|
(IT + RS) | \(\frac {2}{3}\) | E=0 | 0.06243 | [0] | 0.06243 |
\(\frac {1}{2}\) | E=1 | 0.1057 | [25 50 25] | 0.0936 | |
\(\frac {2}{5}\) | E=2 | 0.1256 | [0 25 50 25] | 0.1181 | |
\(\frac {1}{3}\) | E=3 | 0.13346 | [0 25 25 10 15 15 10] | 0.1068 | |
\(\frac {1}{3.5}\) | E=4 | 0.1350 | [0 25 0 0 0 75] | 0.1167 | |
\(\frac {1}{5}\) | E=7 | 0.1268 | [0 0 0 0 0 0 10 80 10] | 0.1262 | |
ML | \(\frac {2}{3}\) | E=0 | 0.00323 | [0] | 0.00323 |
\(\frac {1}{2}\) | E=1 | 0.0007 | [25 50 25] | 0.0007 | |
\(\frac {2}{5}\) | E=2 | 0.0002 | [0 25 50 25] | 0.0003 | |
\(\frac {1}{3}\) | E=3 | 0.0001 | [0 25 25 10 15 15 10] | 0.0002 | |
\(\frac {1}{3.5}\) | E=4 | 0.000081 | [0 25 0 0 0 75] | 0.0000857 | |
\(\frac {1}{5}\) | E=7 | 0.00007 | [0 0 0 0 0 0 10 80 10] | 0.00008 |