Linear codes

Introduced: January 2000

Full Title

Full titles differ between systems:

IPC:

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 > Linear codes

CPC:

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 error correction for analogue/digital, digital/analogue or code conversion H03M1/00 – H03M11/00; specially adapted for digital computers G06F11/08; for information storage based on relative movement between record carrier and transducer G11B, e.g. G11B20/18; for static stores G11C) > 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 > Linear codes

CPC subdivides this area 2x more granularly than IPC with 4 additional codes.

4 codes are CPC-only extensions.

1 shared codes have differing titles between IPC and CPC.

IPC defines codes here since 2000.

Child Classifications

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H03M 13/132 CPC only CPC only
H03M 13/134 CPC only CPC only
H03M 13/136 CPC only CPC only
H03M 13/138 CPC only CPC only
H03M 13/15 Cyclic codes, i.e. cyclic shifts of codewords produce other codewords, e.g. codes defined by a generator polynomial, Bose-Chaudhuri-Hocquenghem [BCH] codes (H03M13/17 takes precedence) since 2000 +3 CPC IPC+CPC Available in IPC and CPC
H03M 13/17 Burst error correction, e.g. error trapping, Fire codes since 2000 +1 CPC IPC+CPC Available in IPC and CPC
H03M 13/19 Single error correction without using particular properties of the cyclic codes, e.g. Hamming codes, extended or generalised Hamming codes since 2000 IPC+CPC Available in IPC and CPC