Self-decodable redundancy versions for polar codes

1. A method for wireless communication, comprising:

receiving a first set of encoded bits from a device, the first set of encoded bits generated based at least in part on a mapping of an information bit vector having a bit length to a first set of polarized bit channels of a first polar code having a first code length according to a first bit index set, the first bit index set being based on respective bit channel reliabilities of the first set of polarized bit channels;

transmitting, to the device, an indication that decoding of the first set of encoded bits was unsuccessful;

receiving a second set of encoded bits from the device, the second set of encoded bits generated based at least in part on a repetition of at least one bit of the information bit vector to at least one of a second set of polarized bit channels of a second polar code, wherein the at least one of the second set of polarized bit channels is determined based at least in part on identifying a second bit index set comprising the first bit index set shifted by the first code length and selecting a third bit index set having the bit length from the first bit index set and the second bit index set based on respective bit channel reliabilities of the first bit index set and the second bit index set, and wherein the at least one bit of the information bit vector corresponds to information bits mapped to bit channels of the first bit index set that are not in the third bit index set; and

decoding the second set of encoded bits according to the second polar code to obtain the information bit vector.

2. The method of claim 1 , wherein the at least one of the second set of polarized bit channels comprises bit channels of the third bit index set that are not in the first bit index set.

3. The method of claim 1 , wherein the decoding comprises:

decoding the first and second sets of encoded bits according to the second polar code to obtain the information bit vector.

4. The method of claim 1 , wherein the second polar code comprises the first polar code.

5. The method of claim 1 , wherein the first set of encoded bits comprises a subset of encoded bits of a codeword generated by the first polar code.

6. The method of claim 5 , wherein the second set of encoded bits comprises a second subset of encoded bits of a second codeword generated by the second polar code.

7. The method of claim 1 , wherein the second set of encoded bits has a same bit length as the first set of encoded bits.

8. The method of claim 1 , wherein the second set of encoded bits has a different bit length as the first set of encoded bits.

9. The method of claim 1 , wherein the second polar code has a second code length that is two times the first code length.

10. The method of claim 1 , wherein a bit order for the at least one bit of the information bit vector in the at least one of the second set of polarized bit channels corresponds to an order of respective bit channel indices corresponding to the bit channels of the first bit index set that are not in the third bit index set.

11. A method for wireless communication, comprising:

transmitting a first set of encoded bits to a device, the first set of encoded bits generated based at least in part on a mapping of an information bit vector having a bit length to a first set of polarized bit channels of a first polar code having a first code length according to a first bit index set, the first bit index set being based on respective bit channel reliabilities of the first set of polarized bit channels;

receiving, from the device, an indication that decoding of the first set of encoded bits was unsuccessful; and

transmitting a second set of encoded bits to the device, the second set of encoded bits generated based at least in part on a repetition of at least one bit of the information bit vector to at least one of a second set of polarized bit channels of a second polar code, wherein the at least one of the second set of polarized bit channels is determined based at least in part on identifying a second bit index set comprising the first bit index set shifted by the first code length and selecting a third bit index set having the bit length from the first bit index set and the second bit index set based on respective bit channel reliabilities of the first bit index set and the second bit index set, and wherein the at least one bit of the information bit vector corresponds to information bits mapped to bit channels of the first bit index set that are not in the third bit index set.

12. The method of claim 11 , wherein the at least one of the second set of polarized bit channels comprises bit channels of the third bit index set that are not in the first bit index set.

13. The method of claim 11 , wherein the second polar code comprises the first polar code.

14. The method of claim 11 , wherein the first set of encoded bits comprises a subset of encoded bits of a codeword generated by the first polar code.

15. The method of claim 14 , wherein the second set of encoded bits comprises a second subset of encoded bits of a second codeword generated by the second polar code.

16. The method of claim 11 , wherein the second set of encoded bits has a same bit length as the first set of encoded bits.

17. The method of claim 11 , wherein the second set of encoded bits has a different bit length as the first set of encoded bits.

18. The method of claim 11 , wherein the second polar code has a second code length that is two times the first code length.

19. The method of claim 11 , wherein a bit order for the at least one bit of the information bit vector in the at least one of the second set of polarized bit channels corresponds to an order of respective bit channel indices corresponding to the bit channels of the first bit index set that are not in the third bit index set.

20. An apparatus for wireless communication, comprising:

means for receiving a first set of encoded bits from a device, the first set of encoded bits generated based at least in part on a mapping of an information bit vector having a bit length to a first set of polarized bit channels of a first polar code having a first code length according to a first bit index set, the first bit index set being based on respective bit channel reliabilities of the first set of polarized bit channels;

means for transmitting, to the device, an indication that decoding of the first set of encoded bits was unsuccessful;

means for receiving a second set of encoded bits from the device, the second set of encoded bits generated based at least in part on a repetition of at least one bit of the information bit vector to at least one of a second set of polarized bit channels of a second polar code, wherein the at least one of the second set of polarized bit channels is determined based at least in part on identifying a second bit index set comprising the first bit index set shifted by the first code length and selecting a third bit index set having the bit length from the first bit index set and the second bit index set based on respective bit channel reliabilities of the first bit index set and the second bit index set, and wherein the at least one bit of the information bit vector corresponds to information bits mapped to bit channels of the first bit index set that are not in the third bit index set; and

means for decoding the second set of encoded bits according to the second polar code to obtain the information bit vector.

21. The apparatus of claim 20 , wherein the at least one of the second set of polarized bit channels comprises bit channels of the third bit index set that are not in the first bit index set.

22. The apparatus of claim 20 , wherein the decoding comprises:

means for decoding the first and second sets of encoded bits according to the second polar code to obtain the information bit vector.

23. The apparatus of claim 20 , wherein the second polar code comprises the first polar code.

24. The apparatus of claim 20 , wherein the first set of encoded bits comprises a subset of encoded bits of a codeword generated by the first polar code.

25. The apparatus of claim 24 , wherein the second set of encoded bits comprises a second subset of encoded bits of a second codeword generated by the second polar code.

26. The apparatus of claim 20 , wherein the second set of encoded bits has a same bit length as the first set of encoded bits.

27. The apparatus of claim 20 , wherein the second set of encoded bits has a different bit length as the first set of encoded bits.

28. The apparatus of claim 20 , wherein the second polar code has a second code length that is two times the first code length.

29. The apparatus of claim 20 , wherein a bit order for the at least one bit of the information bit vector in the at least one of the second set of polarized bit channels corresponds to an order of respective bit channel indices corresponding to the bit channels of the first bit index set that are not in the third bit index set.

30. An apparatus for wireless communication, comprising:

means for transmitting a first set of encoded bits to a device, the first set of encoded bits generated based at least in part on a mapping of an information bit vector having a bit length to a first set of polarized bit channels of a first polar code having a first code length according to a first bit index set, the first bit index set being based on respective bit channel reliabilities of the first set of polarized bit channels;

means for receiving, from the device, an indication that decoding of the first set of encoded bits was unsuccessful; and

means for transmitting a second set of encoded bits to the device, the second set of encoded bits generated based at least in part on a repetition of at least one bit of the information bit vector to at least one of a second set of polarized bit channels of a second polar code, wherein the at least one of the second set of polarized bit channels is determined based at least in part on identifying a second bit index set comprising the first bit index set shifted by the first code length and selecting a third bit index set having the bit length from the first bit index set and the second bit index set based on respective bit channel reliabilities of the first bit index set and the second bit index set, and wherein the at least one bit of the information bit vector corresponds to information bits mapped to bit channels of the first bit index set that are not in the third bit index set.

31. The apparatus of claim 30 , wherein the at least one of the second set of polarized bit channels comprises bit channels of the third bit index set that are not in the first bit index set.

32. The apparatus of claim 30 , wherein the second polar code comprises the first polar code.

33. The apparatus of claim 30 , wherein the first set of encoded bits comprises a subset of encoded bits of a codeword generated by the first polar code.

34. The apparatus of claim 33 , wherein the second set of encoded bits comprises a second subset of encoded bits of a second codeword generated by the second polar code.

35. The apparatus of claim 30 , wherein the second set of encoded bits has a same bit length as the first set of encoded bits.

36. The apparatus of claim 30 , wherein the second set of encoded bits has a different bit length as the first set of encoded bits.

37. The apparatus of claim 30 , wherein the second polar code has a second code length that is two times the first code length.

38. The apparatus of claim 30 , wherein a bit order for the at least one bit of the information bit vector in the at least one of the second set of polarized bit channels corresponds to an order of respective bit channel indices corresponding to the bit channels of the first bit index set that are not in the third bit index set.

39. An apparatus for wireless communication, comprising:

a processor,

memory in electronic communication with the processor; and

instructions stored in the memory and executable by the processor to cause the apparatus to:

receive a first set of encoded bits from a device, the first set of encoded bits generated based at least in part on a mapping of an information bit vector having a bit length to a first set of polarized bit channels of a first polar code having a first code length according to a first bit index set, the first bit index set being based on respective bit channel reliabilities of the first set of polarized bit channels;

transmit, to the device, an indication that decoding of the first set of encoded bits was unsuccessful;

receive a second set of encoded bits from the device, the second set of encoded bits generated based at least in part on a repetition of at least one bit of the information bit vector to at least one of a second set of polarized bit channels of a second polar code, wherein the at least one of the second set of polarized bit channels is determined based at least in part on identifying a second bit index set comprising the first bit index set shifted by the first code length and selecting a third bit index set having the bit length from the first bit index set and the second bit index set based on respective bit channel reliabilities of the first bit index set and the second bit index set, and wherein the at least one bit of the information bit vector corresponds to information bits mapped to bit channels of the first bit index set that are not in the third bit index set; and

decode the second set of encoded bits according to the second polar code to obtain the information bit vector.

40. An apparatus for wireless communication, comprising:

a processor,

memory in electronic communication with the processor; and

instructions stored in the memory and executable by the processor to cause the apparatus to:

transmit a first set of encoded bits to a device, the first set of encoded bits generated based at least in part on a mapping of an information bit vector having a bit length to a first set of polarized bit channels of a first polar code having a first code length according to a first bit index set, the first bit index set being based on respective bit channel reliabilities of the first set of polarized bit channels;

receive, from the device, an indication that decoding of the first set of encoded bits was unsuccessful; and

transmit a second set of encoded bits to the device, the second set of encoded bits generated based at least in part on a repetition of at least one bit of the information bit vector to at least one of a second set of polarized bit channels of a second polar code, wherein the at least one of the second set of polarized bit channels is determined based at least in part on identifying a second bit index set comprising the first bit index set shifted by the first code length and selecting a third bit index set having the bit length from the first bit index set and the second bit index set based on respective bit channel reliabilities of the first bit index set and the second bit index set, and wherein the at least one bit of the information bit vector corresponds to information bits mapped to bit channels of the first bit index set that are not in the third bit index set.

41. A non-transitory computer-readable medium storing code for wireless communication, the code comprising instructions executable by a processor to:

receive a first set of encoded bits from a device, the first set of encoded bits generated based at least in part on a mapping of an information bit vector having a bit length to a first set of polarized bit channels of a first polar code having a first code length according to a first bit index set, the first bit index set being based on respective bit channel reliabilities of the first set of polarized bit channels;

transmit, to the device, an indication that decoding of the first set of encoded bits was unsuccessful;

receive a second set of encoded bits from the device, the second set of encoded bits generated based at least in part on a repetition of at least one bit of the information bit vector to at least one of a second set of polarized bit channels of a second polar code, wherein the at least one of the second set of polarized bit channels is determined based at least in part on identifying a second bit index set comprising the first bit index set shifted by the first code length and selecting a third bit index set having the bit length from the first bit index set and the second bit index set based on respective bit channel reliabilities of the first bit index set and the second bit index set, and wherein the at least one bit of the information bit vector corresponds to information bits mapped to bit channels of the first bit index set that are not in the third bit index set; and

decode the second set of encoded bits according to the second polar code to obtain the information bit vector.

42. A non-transitory computer-readable medium storing code for wireless communication, the code comprising instructions executable by a processor to:

transmit a first set of encoded bits to a device, the first set of encoded bits generated based at least in part on a mapping of an information bit vector having a bit length to a first set of polarized bit channels of a first polar code having a first code length according to a first bit index set, the first bit index set being based on respective bit channel reliabilities of the first set of polarized bit channels;

receive, from the device, an indication that decoding of the first set of encoded bits was unsuccessful; and

transmit a second set of encoded bits to the device, the second set of encoded bits generated based at least in part on a repetition of at least one bit of the information bit vector to at least one of a second set of polarized bit channels of a second polar code, wherein the at least one of the second set of polarized bit channels is determined based at least in part on identifying a second bit index set comprising the first bit index set shifted by the first code length and selecting a third bit index set having the bit length from the first bit index set and the second bit index set based on respective bit channel reliabilities of the first bit index set and the second bit index set, and wherein the at least one bit of the information bit vector corresponds to information bits mapped to bit channels of the first bit index set that are not in the third bit index set.