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Table 2 Good convolutional codes of rate 3/5 for various TC( M min ) and MC( M min ) values

From: A new computational decoding complexity measure of convolutional codes

TC

MC

TCCa

d f

Number

G(D)

12 b

4

124

4

11,0,52,0,279

[0 1 1 1 1; 2 2 2 0 1; 2 2 0 3 0]

13,33 b

4

131,98

4

3,12,24,56,145

[1 0 1 1 1; 2 1 1 1 0; 2 2 2 1 1]

26,66 b

8

263,96

4

1,5,13,39,111

[3 1 0 1 0; 0 1 3 2 2; 2 2 2 1 1]

26,66 c

9,33

281,25

4

1,12,32,68,173

[1 0 1 1 1; 2 1 1 2 1; 2 2 3 1 0]

32 c

10,66

330,58

4

1,0,34,0,211

[1 0 1 1 1; 2 3 3 0 2; 4 2 3 3 0]

37,33 c

10,66

362,56

5

6,18,40,103,320

[2 2 3 0 1; 6 0 2 2 3; 6 6 0 1 0]

37,33 c

13,33

397,27

5

4,11,29,90,254

[3 3 0 1 0; 2 1 3 2 1; 2 2 2 1 3]

42,66 c

13,33

429,25

5

1,16,29,78,217

[1 3 0 1 1; 2 3 3 3 0; 4 0 2 3 3]

48 c

16

496

6

18,0,139,0,1202

[1 3 2 1 1; 2 1 3 3 0; 6 2 2 3 3]

53,33 d

16

527,98

6

15,0,131,0,1216

[0 3 3 1 1; 2 0 2 3 3; 7 1 0 3 0]

74,66 c

21,33

725,25

6

13,0,122,0,1014

[4 0 3 3 2; 2 1 3 2 1; 3 3 0 2 2]

74,66 b

26,66

794,54

6

4,18,48,114,374

[3 2 3 2 1; 0 3 1 3 2; 4 4 2 3 3]

96 c

32

992

6

2,18„58,132,338

[1 1 1 3 1; 6 4 3 2 1; 0 4 6 3 3]

149,33 c

42,66

1450,56

7

19,48,99,319,988

[1 3 3 0 3; 6 3 2 3 0; 6 0 7 4 1]

149,33 c

53,33

1589,27

7

9,36,65,236,671

[3 3 0 3 2; 4 4 2 3 3; 4 3 7 5 0]

  1. aSpecific measure for the TMS320C55xx DSP. bCode with the same TC (Mmin), MC (Mmin), and distance spectrum as a code listed in [5]. cNew code found in this study. dCode with the same TC (Mmin), MC (Mmin), and distance spectrum as a code listed in [8].