A memory controller may receive memory data to be stored on a memory. A memory controller may receive metadata related to the memory data. The metadata may be selected from a predetermined list of metadata. A memory controller may identify an encoding polynomial of a plurality of polynomials that is associated with the metadata, each polynomial of the plurality of polynomials associated with different metadata from the predetermined list of metadata. A memory controller may generate a codeword using the encoding polynomial of the plurality of polynomials and the memory data.

A memory controller may receive memory data to be stored on a memory. A memory controller may receive metadata related to the memory data. The metadata may be selected from a predetermined list of metadata. A memory controller may identify an encoding polynomial of a plurality of polynomials that is associated with the metadata, each polynomial of the plurality of polynomials associated with different metadata from the predetermined list of metadata. A memory controller may generate a codeword using the encoding polynomial of the plurality of polynomials and the memory data.

In accordance with an embodiment a method includes: performing convolutional interleaving on symbols comprised in a plurality of first codewords, to obtain an interleaving result, wherein the interleaving result comprises n first bit groups, and the first codeword is encoded with a first forward error correction (FEC) code, and encoding bits corresponding to the n first bit groups with a second FEC code, to obtain n second codewords, wherein a quantity of bits corresponding to the each first bit group is equal to a quantity of bits comprised in information bits of each second codeword.

In some implementations, a memory system may obtain, from a host system, a command to read data. The memory system may retrieve a codeword associated with the data. The memory system may generate, based on the codeword, a syndrome. The memory system may generate one or more decoding values based on the syndrome and using one or more combinational circuits. The memory system may correct one or more errors in the codeword using the one or more decoding values. The memory system may provide the data to the host system.

In some implementations, a memory system may obtain, from a host system, a command to read data. The memory system may retrieve a codeword associated with the data. The memory system may generate, based on the codeword, a syndrome. The memory system may generate one or more decoding values based on the syndrome and using one or more combinational circuits. The memory system may correct one or more errors in the codeword using the one or more decoding values. The memory system may provide the data to the host system.

In some implementations, a memory system may obtain, from a host system, a command to read data. The memory system may retrieve a codeword associated with the data. The memory system may generate, based on the codeword, a syndrome. The memory system may generate one or more decoding values based on the syndrome and using one or more combinational circuits. The memory system may correct one or more errors in the codeword using the one or more decoding values. The memory system may provide the data to the host system.

In some implementations, a memory system may obtain, from a host system, a command to read data. The memory system may retrieve a codeword associated with the data. The memory system may generate, based on the codeword, a syndrome. The memory system may generate one or more decoding values based on the syndrome and using one or more combinational circuits. The memory system may correct one or more errors in the codeword using the one or more decoding values. The memory system may provide the data to the host system.