According to certain embodiments, a method is provided for generating soft information for code bits of polar codes. The method includes receiving, by a decoder of a receiver, soft information associated with coded bits from a first module of the receiver and using a tree structure of the polar code to generate updated soft information. The updated soft information is output by the decoder for use by a second module of the receiver.

A memory system of an embodiment includes a non-volatile memory and a memory controller. The memory controller generates an error correction code including a first and second symbol groups. The first symbol group is a set of symbols shared between a first component code and a third component code and/or a fourth component code. The second symbol group is a set of symbols shared between a second component code and the third component code and/or the fourth component code. The first and third component codes have a lower correction capability than the second and fourth component codes, respectively. The ratio of symbols protected by the third component code is smaller in the second symbol group than in the first symbol group. The ratio of symbols protected by the fourth component code is larger in the second symbol group than in the first symbol group.

A memory system of an embodiment includes a non-volatile memory and a memory controller. The memory controller generates an error correction code including a first and second symbol groups. The first symbol group is a set of symbols shared between a first component code and a third component code and/or a fourth component code. The second symbol group is a set of symbols shared between a second component code and the third component code and/or the fourth component code. The first and third component codes have a lower correction capability than the second and fourth component codes, respectively. The ratio of symbols protected by the third component code is smaller in the second symbol group than in the first symbol group. The ratio of symbols protected by the fourth component code is larger in the second symbol group than in the first symbol group.

According to certain embodiments, a method is provided for generating soft information for code bits of polar codes. The method includes receiving, by a decoder of a receiver, soft information associated with coded bits from a first module of the receiver and using a tree structure of the polar code to generate updated soft information. The updated soft information is output by the decoder for use by a second module of the receiver.

Series turbo-decoder, series turbo-decoding method and computer program product, the series turbo-decoder comprises an input configured to receive a word to be decoded comprising informative data or payload data, internal and external redundancy data, an internal decoder (DCI) and an external decoder (DCE). The internal decoder and the external decoder receive the word simultaneously. The internal decoder is configured to perform part of the decoding of the word based on the payload data and on the internal and external redundancy data. The external decoder is configured to perform another part of the decoding of the word based on the payload data and on the external redundancy data without awaiting the availability of information extrinsic to the internal decoder.