A memory controller including, in one implementation, a memory interface and a control circuit. The memory interface is configured to receive a punctured codeword read from a non-volatile memory. The control circuit is configured to determine error probability values for a plurality of check nodes associated with a punctured bit included in the punctured codeword. The control circuit is also configured to determine an error probability value for the punctured bit based on the error probability values for the plurality of check nodes associated with the punctured bit and a variable degree associated with the punctured bit. The control circuit is further configured to determine a log likelihood ratio (LLR) value for the punctured bit based on the error probability value for the punctured bit. The control circuit is also configured to decode the punctured codeword using the LLR value for the punctured bit.