Relationships between Sparse Graph Codes

David J C MacKay

The best error-correcting codes that are known at present are irregular Gallager codes. Finding the best way to construct the parity check matrix of these codes is still an active research area. This note reviews some of the issues, and uses the notation of generalized parity check matrices to relate irregular Gallager codes to turbo codes, repeat-accumulate codes, and the MN codes used by Kanter and Saad. Nine research questions are posed.

postscript (Cambridge UK).

postscript (Canada mirror).


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