LOW DENSITY PARITY CHECK (LDPC) CODE

Example methods are disclosed for decoding low-density parity-check (LDPC) encoded data, involving applying an expanded parity check matrix to generate decoded data, wherein −1 represents an 81×81 all-zero square matrix, and any other integer, Sij, represents an 81×81 identity matrix circularly right shifted by a shift amount equal to Sij.

Low density parity check (LDPC) code

ELECTRONIC CIRCUITRY

Coding, decoding or code conversion, for error detection or error correction; Coding theory basic assumptions; Coding bounds; Error probability evaluation methods; Channel models; Simulation or testing of codes -Error detection or forward error correction by redundancy in data representation, i.e. code words containing more digits than the source words-using block codes, i.e. a predetermined number of check bits joined to a predetermined number of information bits -using multiple parity bits-Codes on graphs and decoding on graphs, e.g. low-density parity check [LDPC] codes-Decoding-Scheduling of bit node or check node processing-Shuffled, staggered, layered or turbo decoding schedules

CODING; DECODING; CODE CONVERSION IN GENERAL 

Coding, decoding or code conversion, for error detection or error correction; Coding theory basic assumptions; Coding bounds; Error probability evaluation methods; Channel models; Simulation or testing of codes -Error detection or forward error correction by redundancy in data representation, i.e. code words containing more digits than the source words-using block codes, i.e. a predetermined number of check bits joined to a predetermined number of information bits -using multiple parity bits-Codes on graphs and decoding on graphs, e.g. low-density parity check [LDPC] codes-Structural properties of the code parity-check or generator matrix-Quasi-cyclic LDPC [QC-LDPC] codes, i.e. the parity-check matrix being composed of permutation or circulant sub-matrices

Coding, decoding or code conversion, for error detection or error correction; Coding theory basic assumptions; Coding bounds; Error probability evaluation methods; Channel models; Simulation or testing of codes -Error detection or forward error correction by redundancy in data representation, i.e. code words containing more digits than the source words-using block codes, i.e. a predetermined number of check bits joined to a predetermined number of information bits -using multiple parity bits-Codes on graphs and decoding on graphs, e.g. low-density parity check [LDPC] codes-Structural properties of the code parity-check or generator matrix-Parity check matrix structured for simplifying encoding, e.g. by having a triangular or an approximate triangular structure -wherein the parity-check matrix comprises a part with a double-diagonal-wherein in the part with the double-diagonal at least one column has an odd column weight equal or greater than three

Coding, decoding or code conversion, for error detection or error correction; Coding theory basic assumptions; Coding bounds; Error probability evaluation methods; Channel models; Simulation or testing of codes -Joint error correction and other techniques -Error control coding in combination with rate matching-by puncturing-using rate compatible puncturing or complementary puncturing

Coding, decoding or code conversion, for error detection or error correction; Coding theory basic assumptions; Coding bounds; Error probability evaluation methods; Channel models; Simulation or testing of codes -Joint error correction and other techniques -Error control coding in combination with rate matching-by puncturing

Coding, decoding or code conversion, for error detection or error correction; Coding theory basic assumptions; Coding bounds; Error probability evaluation methods; Channel models; Simulation or testing of codes -Aspects and characteristics of methods and arrangements for error correction or error detection, not provided for otherwise-Shortening and extension of codes

Coding, decoding or code conversion, for error detection or error correction; Coding theory basic assumptions; Coding bounds; Error probability evaluation methods; Channel models; Simulation or testing of codes -Error detection or forward error correction by redundancy in data representation, i.e. code words containing more digits than the source words-using block codes, i.e. a predetermined number of check bits joined to a predetermined number of information bits -using multiple parity bits-Codes on graphs and decoding on graphs, e.g. low-density parity check [LDPC] codes-Structural properties of the code parity-check or generator matrix-Parity check matrix structured for simplifying encoding, e.g. by having a triangular or an approximate triangular structure -wherein the parity-check matrix comprises a part with a double-diagonal

Coding, decoding or code conversion, for error detection or error correction; Coding theory basic assumptions; Coding bounds; Error probability evaluation methods; Channel models; Simulation or testing of codes -Error detection or forward error correction by redundancy in data representation, i.e. code words containing more digits than the source words-using block codes, i.e. a predetermined number of check bits joined to a predetermined number of information bits -using multiple parity bits-Codes on graphs and decoding on graphs, e.g. low-density parity check [LDPC] codes-Decoding-Soft-decision decoding, e.g. by means of message passing or belief propagation algorithms

Coding, decoding or code conversion, for error detection or error correction; Coding theory basic assumptions; Coding bounds; Error probability evaluation methods; Channel models; Simulation or testing of codes -Error detection or forward error correction by redundancy in data representation, i.e. code words containing more digits than the source words-using block codes, i.e. a predetermined number of check bits joined to a predetermined number of information bits -using multiple parity bits-Codes on graphs and decoding on graphs, e.g. low-density parity check [LDPC] codes-Structural properties of the code parity-check or generator matrix-Parity check matrix structured for simplifying encoding, e.g. by having a triangular or an approximate triangular structure 

ELECTRIC COMMUNICATION TECHNIQUE

Arrangements for detecting or preventing errors in the information received -by using forward error control -Systems characterized by the type of code used -Rate matching -by puncturing

TRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION 

Arrangements for detecting or preventing errors in the information received -by using forward error control -Systems characterized by the type of code used -Block codes 

Coding, decoding or code conversion, for error detection or error correction; Coding theory basic assumptions; Coding bounds; Error probability evaluation methods; Channel models; Simulation or testing of codes -Joint error correction and other techniques -Error control coding in combination with rate matching-by puncturing-using rate compatible puncturing or complementary puncturing-Rate compatible low-density parity check [LDPC] codes

Coding, decoding or code conversion, for error detection or error correction; Coding theory basic assumptions; Coding bounds; Error probability evaluation methods; Channel models; Simulation or testing of codes -Error detection or forward error correction by redundancy in data representation, i.e. code words containing more digits than the source words-using block codes, i.e. a predetermined number of check bits joined to a predetermined number of information bits -using multiple parity bits-Codes on graphs and decoding on graphs, e.g. low-density parity check [LDPC] codes-Decoding-Scheduling of bit node or check node processing-Partly parallel processing, i.e. sub-blocks or sub-groups of nodes being processed in parallel

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