Methods, systems, and apparatus for channel-dependent error correction coding

A method comprising:

• receiving blocks of encoded bits obtained by encoding input bits, each of the blocks of encoded bits being associated with a respective code rate and a respective capacity,
• the blocks of encoded bits comprising nested blocks, each nested block of the nested blocks comprising a subcode of another block of the blocks of encoded bits that is associated with a higher respective code rate than the each nested block,
• the nested blocks comprising coupled blocks that are coupled to each other;
• and
• decoding the encoded bits to obtain decoded input bits.

An apparatus comprising:

• an encoder configured to encode input bits to obtain blocks of encoded bits, each of the blocks of encoded bits being associated with a respective code rate and a respective capacity,
• the blocks of encoded bits comprising nested blocks, each nested block of the nested blocks comprising a subcode of another block of the blocks of encoded bits that is associated with a higher respective code rate than the each nested block,
• the nested blocks comprising coupled blocks that are coupled to each other,
• the apparatus further comprising:
• an interface coupled to the encoder, configured to output the blocks of encoded bits.

An apparatus comprising:

• an interface configured to receive blocks of encoded bits obtained by encoding input bits, each of the blocks of encoded bits being associated with a respective code rate and a respective capacity,
• the blocks of encoded bits comprising nested blocks, each nested block of the nested blocks comprising a subcode of another block of the blocks of encoded bits that is associated with a higher respective code rate than the each nested block,
• the nested blocks comprising coupled blocks that are coupled to each other,
• the apparatus further comprising:
• a decoder coupled to the interface, configured to decode the encoded bits to obtain decoded input bits.