A new computational decoding complexity measure of convolutional codes

Benchimol, Isaac B; Pimentel, Cecilio; Souza, Richard Demo; Uchôa-Filho, Bartolomeu F

doi:10.1186/1687-6180-2014-173

EURASIP Journal on Advances in Signal Processing

Table 4 Good convolutional codes of rate 5/7 for various TC( M _min ) and MC( M _min ) values

From: A new computational decoding complexity measure of convolutional codes

TC	MC	TCC^a	d _f	Number	*G(D)*
17,6 ^b	7,2	199,2	3	4,23,87,299,1189	[1 0 1 1 0 1 0; 0 1 0 1 0 0 1; 2 0 0 1 1 0 0; 2 2 0 0 0 1 0; 0 2 2 0 0 0 1]
22,4 ^b	8	238,4	4	17,49,205,773,3090	[1 1 0 1 1 0 0; 0 1 1 1 0 1 1; 2 0 0 1 1 1 0; 2 2 2 0 1 0 0; 0 2 0 2 0 1 1]
28,8 ^b	11,2	318,4	4	15,40,174,658,2825	[2 2 2 2 2 0 1; 0 2 0 2 0 1 1; 2 2 2 0 1 0 0; 0 0 0 1 1 1 1; 3 1 0 1 0 1 0]
32 ^c	11,2	337,6	4	10,52,169,712,3060	[0 2 2 0 2 0 1; 2 2 0 2 0 1 0; 2 2 2 0 1 0 0; 0 0 0 1 1 1 1; 1 2 1 0 1 1 0]
32 ^b	12,8	358,4	4	9,43,169,629,2640	[1 1 0 1 0 1 0; 0 0 1 1 1 1 1; 2 2 2 1 0 1 0; 2 0 0 2 1 1 0; 2 0 2 2 2 0 1]
35,2 ^b	12,8	377,6	4	6,40,137,544,2318	[2 2 2 2 2 0 1; 0 0 2 2 0 1 1; 2 2 2 0 1 0 0; 0 0 1 1 1 1 1; 1 2 1 0 1 1 0]
35,2 ^b	14,4	398,4	4	6,36,134,586,2528	[1 1 0 1 1 1 0; 0 1 1 1 0 0 1; 2 2 0 1 1 0 0; 2 0 0 2 1 1 0; 0 2 2 0 2 1 1]
44,8 ^d	16	476,8	4	2,27,109,445,1955	[1 1 0 0 1 1 1; 2 1 1 1 0 1 0; 2 2 2 1 0 0 1; 0 2 0 2 1 1 0; 2 0 0 0 2 1 1]
64 ^b	22,4	675,2	4	1,28,113,434,1902	[3 2 1 0 1 0 1; 2 0 3 1 1 1 0; 2 2 2 2 1 0 0; 2 2 2 0 2 1 0; 0 2 0 2 2 2 1]
64 ^b	25,6	716,8	4	1,21,91,331,1436	[3 0 1 0 1 0 1; 2 3 2 1 0 1 0; 2 2 0 1 1 1 1; 0 2 2 2 2 1 0; 0 2 2 2 0 2 3]
70,4 ^b	28,8	796,8	5	16,88,314,1320,5847	[3 0 1 1 1 0 0; 2 3 1 1 0 1 0; 0 2 2 3 1 0 1; 0 2 2 0 2 1 1; 0 2 0 2 2 2 3]
76,8 ^b	28,8	835,2	5	15,71,274,1179,5196	[1 0 1 1 1 0 1; 0 3 3 1 1 1 0; 2 2 0 3 0 1 0; 2 2 2 2 2 3 1; 2 2 0 0 3 0 1]
76,8 ^b	32	876,8	5	14,59,256,1078,4649	[3 0 1 1 1 1 1; 0 3 1 1 0 1 1; 2 2 2 3 0 1 0; 0 2 0 2 3 1 0; 2 0 2 0 0 3 1]
89,6 ^b	32	953,6	5	9,54,236,987,4502	[3 0 1 1 1 0 1; 2 3 3 1 1 1 1; 0 0 2 3 1 1 0; 2 2 2 2 3 0 1; 0 2 0 2 2 3 2]
153,6 ^b	57,6	1670,4	6	69,0,1239,0,2478	[1 2 3 0 1 0 1; 2 3 1 3 1 0 1; 2 2 2 1 2 1 0; 2 2 2 2 3 0 3; 0 2 2 2 0 3 1]

^aSpecific measure for the TMS320C55xx DSP. ^bNew code found in this study. ^cCode with the same TC (M_min), MC (M_min), and distance spectrum as a code listed in [10]. ^dCode with the same TC (M_min), MC (M_min), and distance spectrum as a code listed in [7].

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