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Table 7 Example of reduction of the number combinations for P1 and P3 from Table 6

From: Low complexity soft demapping for non-binary LDPC codes

Number of combinations

Without the algorithm

Prop. Algorithm with r= 0, N m = 8

Prop. algorithm with r= 3, N m = 8, N q = 8

GF(64) symbol a

64 × 22 = 256

64 × 22 = 256

64 × 22 = 256

GF(64) symbol b

64 × 26 × 24 = 65536

64 × 6 + 64 × N m × 24 = 8576

64 × 3 × N m × N q + 2 × 64 × 6 = 13056

GF(64) symbol c

64 × 26 × 24 = 65536

64 × 6 + 64 × N m × 24 = 8576

 

GF(64) symbol d

64 × 22 = 256

64 × 22 = 256

64 × 22 = 256

Block of m1 GF symbols

64 × 2 × (210 + 22) = 131584

2 × 64 × (22 + 6 + N m × 24) = 17664

2 × 64 × (22 + 6) + 64 × 3 × N m × N q = 13568