Code reconstruction scheme for multiple code rate TPC decoder

1. An apparatus for decoding, comprising:

a memory;

at least one processor coupled to the memory, the at least one processor configured to:

obtain a first codeword comprising one or more information bits and one or more parity bits;

obtain a first parameter corresponding to a code rate of the first codeword;

decode the first codeword using a multi-rate decoder to generate a decoded codeword, wherein the multi rate decoder performs a code reconstruction procedure on the first codeword to generate a reconstructed codeword, wherein the code reconstruction procedure is based at least on the first parameter, and wherein the multi rate decoder supports multiple code rates with a lookup table and decodes the reconstructed codeword based at least on the lookup table; and

output the decoded codeword.

2. The apparatus of claim 1 , wherein the first codeword corresponds to a turbo product code (TPC).

3. The apparatus of claim 1 , wherein the code reconstruction procedure is based at least on the first parameter and a code rate of a base code.

4. The apparatus of claim 3 , wherein the base code comprises a base code rate, wherein the base code rate corresponds to the lowest supported code rate by the multi-rate decoder.

5. The apparatus of claim 4 , wherein the processor configured to perform code reconstruction procedure is further configured to:

add one or more zero bits to the first codeword to generate an intermediate codeword;

determine a second parameter corresponding to a number of bit locations that the intermediate codeword is to be cyclically shifted in a first direction based on the first parameter and a code rate of the base code rate; and

cyclically shift the intermediate codeword based on a value of the second parameter to generate the reconstructed codeword.

6. The apparatus of claim 1 , wherein a starting bit location of the one or more information bits in a second codeword is aligned with a predetermined bit location.

7. The apparatus of claim 6 , wherein the predetermined bit location corresponds to a starting bit location of information bits in a base code of the multi-rate decoder.

8. The apparatus of claim 1 , wherein the first codeword comprises a Bose-Chaudhuri-Hocquenghem (BCH) code.

9. A method for decoding, comprising:

obtaining, by a system, a first codeword comprising one or more information bits and one or more parity bits from a memory;

obtaining, by the system, a first parameter corresponding to a code rate of the first codeword;

generating a decoded codeword using a multi-rate decoder and the first codeword;

reconstructing the first codeword, wherein the reconstructing generates a reconstructed codeword by using the multi rate decoder to reconstruct the first codeword based at least on the first parameter, and wherein the multi rate decoder supports multiple code rates with a lookup table and decodes the reconstructed codeword based at least on the lookup table; and

outputting, by the system, the decoded codeword.

10. The method of claim 9 , wherein the first codeword corresponds to a turbo product code (TPC).

11. The method of claim 9 , wherein reconstructing the first codeword is based at least on the first parameter and a code rate of a base code.

12. The method of claim 11 , wherein the base code comprises a base code rate, wherein the base code rate corresponds to the lowest supported code rate by the multi-rate decoder.

13. The method of claim 12 , further comprising:

adding, by the system, one or more zero bits to the first codeword to generate an intermediate codeword;

determining, by the system, a second parameter corresponding to a number of bit locations that the intermediate codeword is to be cyclically shifted in a first direction based on the first parameter and a code rate of the base code rate; and

cyclically, by the system, shifting the intermediate codeword based on a value of the second parameter to generate the reconstructed codeword.

14. The method of claim 9 , wherein a starting bit location of the one or more information bits in a second codeword is aligned with a predetermined bit location.

15. The method of claim 14 , wherein the predetermined bit location corresponds to a starting bit location of information bits in a base code of the multi-rate decoder.

16. The method of claim 9 , wherein the first codeword comprises a Bose-Chaudhuri-Hocquenghem (BCH) code.

17. The method of claim 9 , wherein the lookup table indicates an adjustments to syndrome values based on bit locations, and wherein the lookup table associates an adjustment factor with a code rate, and wherein reconstructing the first codeword comprises adjusting, by the multi-rate decoder, a syndrome value of the first codeword based at least on the lookup table.

18. A non-transitory computer-readable storage medium comprising instructions that, upon execution by a processor of a computing device, configure the computing device to perform operations comprising:

obtaining a first codeword comprising one or more information bits and one or more parity bits;

obtaining a first parameter corresponding to a code rate of the first codeword;

decoding the first codeword using a multi-rate decoder to generate a decoded codeword, wherein the multi rate decoder performs a code reconstruction procedure on the first codeword to generate a reconstructed codeword, wherein the code reconstruction procedure is based at least on the first parameter, and wherein the multi rate decoder supports multiple code rates with a lookup table and decodes the reconstructed codeword based at least on a lookup table; and

outputting the decoded codeword.

19. The non-transitory computer-readable storage medium of claim 18 , wherein the operations further comprise:

adding, by the computing device, one or more zero bits to the first codeword to generate an intermediate codeword;

determining, by the computing device, a second parameter corresponding to a number of bit locations that the intermediate codeword is to be cyclically shifted in a first direction based on the first parameter and a code rate of a base code rate; and

cyclically, by the computing device, shifting the intermediate codeword based on a value of the second parameter to generate the reconstructed codeword.

20. The non-transitory computer-readable storage medium of claim 18 , wherein a starting bit location of the one or more information bits in a second codeword is aligned with a predetermined bit location.