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This letter proposes successive cancellation list (SCL) decoding of productcodes with Reed--Muller (RM) component codes. SCL decoding relies on a productcode description based on the $2\times 2$ Hadamard kernel, which enablesinterpreting the code as an RM subcode. The focus is on a class of productcodes considered in wireless communication systems, based on singleparity-check and extended Hamming component codes. For short product codes, itis shown that SCL decoding with a moderate list size performs as well as (and,sometimes, outperforms) belief propagation (BP) decoding. Furthermore, byconcatenating a short product code with a high-rate outer code, SCL decodingoutperforms BP decoding by up to $1.4$ dB.

Successive Cancellation List Decoding of Product Codes with Reed-Muller Component Codes