Shift-coefficient table design of QC-LDPC code for smaller code block sizes in mobile communications

1. A method of wireless communication, comprising:

establishing, by a processor of an apparatus, a wireless communication link with at least one other apparatus via a transceiver of the apparatus; and

wirelessly communicating, by the processor, with the other apparatus via the wireless communication link by:

selecting a first shift-coefficient table from a plurality of shift-coefficient tables;

generating a quasi-cyclic-low-density parity-check (QC-LDPC) code using a base matrix and at least a portion of the first shift-coefficient table;

selecting a codebook from a plurality of codebooks embedded in the QC-LDPC code;

storing the selected codebook in a memory associated with the processor;

encoding data using the selected codebook to generate a plurality of modulation symbols of the data; and

controlling the transceiver to multiplex, convert, filter, amplify and radiate the modulation symbols as electromagnetic waves through one or more antennas of the apparatus to transmit the modulation symbols of the data to the other apparatus via the wireless communication link,

wherein the selecting of the first shift-coefficient table from the plurality of shift-coefficient tables comprises selecting the first shift-coefficient table according to one or more rules related to either or both of a code block size and a code rate of the data for relatively smaller code block sizes.

2. The method of claim 1 , wherein the first shift-coefficient table comprises a basic shift-coefficient table arranged in four rows and fourteen columns in a pattern as follows:

Column #

Row #

1

2

3

4

5

6

7

8

9

10

11

12

13

14

1

9

117

204

26

−1

−1

189

−1

−1

205

0

0

−1

−1

2

167

−1

−1

166

253

125

226

156

224

252

−1

0

0

−1

3

81

114

−1

44

52

−1

−1

−1

240

−1

1

−1

0

0

4

−1

8

58

−1

158

104

209

54

18

128

0

−1

−1

0.

3. The method of claim 1 , wherein the first shift-coefficient table comprises a shift-coefficient table as shown in FIG. 15A and FIG. 15B .

4. The method of claim 1 , wherein the first shift-coefficient table comprises a shift-coefficient table corresponding to base graph 2 (BG2) with a primitive element of 2 (a=2) and a lifting factor of 256.

5. The method of claim 1 , wherein the first shift-coefficient table comprises a shift-coefficient table corresponding to base graph 2 (BG2) with a primitive element of 9 (a=9) and a lifting factor of 144.

6. The method of claim 1 , wherein the first shift-coefficient table comprises a shift-coefficient table corresponding to base graph 2 (BG2) with a primitive element of 5 (a=5) and a lifting factor of 160.

7. The method of claim 1 , wherein the first shift-coefficient table comprises a shift-coefficient table corresponding to base graph 2 (BG2) with a primitive element of 11 (a=11) and a lifting factor of 176.

8. The method of claim 1 , wherein the first shift-coefficient table comprises a shift-coefficient table corresponding to base graph 2 (BG2) with a primitive element of 3 (a=3) and a lifting factor of 192.

9. The method of claim 1 , wherein the first shift-coefficient table comprises a shift-coefficient table corresponding to base graph 2 (BG2) with a primitive element of 13 (a=13) and a lifting factor of 208.

10. The method of claim 1 , wherein the first shift-coefficient table comprises a shift-coefficient table corresponding to base graph 2 (BG2) with a primitive element of 7 (a=7) and a lifting factor of 224.

11. The method of claim 1 , wherein the first shift-coefficient table comprises a shift-coefficient table corresponding to base graph 2 (BG2) with a primitive element of 15 (a=15) and a lifting factor of 240.

12. The method of claim 1 , wherein the generating of the QC-LDPC code using the base matrix and at least a portion of the first shift-coefficient table comprises generating the QC-LDPC code using the base matrix and a full portion of the first shift-coefficient table.

13. The method of claim 1 , wherein the generating of the QC-LDPC code using the base matrix and at least a portion of the first shift-coefficient table comprises generating the QC-LDPC code using the base matrix and a partial portion of the first shift-coefficient table.

14. The method of claim 1 , wherein the selecting of the first shift-coefficient table from the plurality of shift-coefficient tables comprises selecting a second shift-coefficient table a value of which modulo one or more lifting factors is same as a modulo result of at least the first shift-coefficient table.

15. The method of claim 14 , wherein the generating of the QC-LDPC code using the base matrix and at least a portion of the first shift-coefficient table comprises generating the QC-LDPC code using the base matrix and a full portion of the second shift-coefficient table.

16. The method of claim 14 , wherein the generating of the QC-LDPC code using the base matrix and at least a portion of the first shift-coefficient table comprises generating the QC-LDPC code using the base matrix and a partial portion of the second shift-coefficient table.

17. The method of claim 1 , wherein the selecting of the first shift-coefficient table from the plurality of shift-coefficient tables comprises:

determining whether the code block size is less than or equal to a threshold code block size; and

determining whether the code rate is less than or equal to a threshold code rate.

18. The method of claim 17 , wherein the selecting of the first shift-coefficient table from the plurality of shift-coefficient tables further comprises:

selecting the first shift-coefficient table which corresponds to base graph 1 (BG1) responsive to a determination that the code block size is greater than the threshold code block size or responsive to a determination that the code rate is greater than the threshold code rate.

19. The method of claim 17 , wherein the selecting of the first shift-coefficient table from the plurality of shift-coefficient tables further comprises:

selecting the first shift-coefficient table which corresponds to base graph 2 (BG2) responsive to a determination that the code block size is less than or equal to the threshold code block size and responsive to a determination that the code rate is less than or equal to the threshold code rate.

20. The method of claim 1 , wherein each codebook of the plurality of codebooks corresponds to a respective hybrid automatic repeat request (HARQ) threads of a plurality of HARQ threads that are different from one another.