Some decomposable codes: the |a+x|b+x|a+b+x| construction

M.P.C. Fossorier, Shu Lin · IEEE Transactions on Information Theory · 1997

Codes with decomposable structure allow the use of multistage decoding procedures to achieve suboptimum bounded-distance error performance with reduced decoding complexity. This correspondence presents some new decomposable codes, including a class of distance-8 codes, that are constructed based on the |a+x|b+x|a+b+x| construction method. Some existing best codes are shown to be decomposable and hence can be decoded with multistage decoding.

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