Table 2 LDPC decoding latency and error-correction performance for Rcode = 0.02 multi-edge codes on a single NVIDIA GeForce GTX 1080 GPU

From: Quasi-cyclic multi-edge LDPC codes for long-distance quantum cryptography

LDPC code

Random

multi-edge

q = 21 QC multi-edge

q = 50 QC multi-edge

Block length (Bits)

1 × 106

1.008 × 106

1 × 106

Code rate

0.02

0.02

0.01995

Connections in parity matrix

3,337,494

160,185

66,747

Total latency per iteration (ms)

3.528

1.296

1.177

FER performance and decoding throughput at β = 0.99 and d = 8

Max iterations

500

500

500

Average iterations

470

451

470

FER

0.883

0.792

0.883

\(K_{{\mathrm{GPU}}}^{{\mathrm{raw}}}\) raw throughput (Mb/s)

0.603

1.724

1.807

\(K_{{\mathrm{GPU}}}^\prime\) information throughput (kb/s)

1.409

7.16

4.207