An aspect of the present invention is a communication system including: an encoding unit configured to transform an input symbol sequence into an output symbol sequence, the input symbol sequence being a sequence of first symbols, the output symbol sequence being a sequence of second symbols; and a decoding unit configured to transform the output symbol sequence into the input symbol sequence in accordance with a decoding-side transformation mapping for transforming the output symbol sequence into the input symbol sequence that is a transformation source for the output symbol sequence, wherein the encoding unit transforms the input symbol sequence into the output symbol sequence in accordance with encoding-side transformation destination candidate information, the input symbol sequence, and a transformation probability, the encoding-side transformation destination candidate information being information indicating candidates of a transformation destination for the input symbol sequence, the transformation probability being a probability of transformation into the transformation destination indicated by the encoding-side transformation destination candidate information, and a probability of appearance of the second symbol conforms to a predefined prescribed probability distribution.

A method for channel-coding information bits using a code generation matrix including 32 rows and A columns corresponding to length of the information bits includes, channel-coding the information bits having “A” length using basis sequences having 32-bit length corresponding to columns of the code generation matrix, and outputting the channel-coded result as an output sequence. If “A” is higher than 10, the code generation matrix is generated when (A-10) additional basis sequences were added as column-directional sequences to a first or second matrix. The first matrix is a TFCI code generation matrix composed of 32 rows and 10 columns used for TFCI coding. The second matrix is made when at least one of an inter-row location or an inter-column location of the first matrix was changed. The additional basis sequences satisfy a value 10 of a minimum Hamming distance.

A method for channel-coding information bits using a code generation matrix including 32 rows and A columns corresponding to length of the information bits includes, channel-coding the information bits having “A” length using basis sequences having 32-bit length corresponding to columns of the code generation matrix, and outputting the channel-coded result as an output sequence. If “A” is higher than 10, the code generation matrix is generated when (A-10) additional basis sequences were added as column-directional sequences to a first or second matrix. The first matrix is a TFCI code generation matrix composed of 32 rows and 10 columns used for TFCI coding. The second matrix is made when at least one of an inter-row location or an inter-column location of the first matrix was changed. The additional basis sequences satisfy a value 10 of a minimum Hamming distance.

Memory devices, systems including memory devices, and methods of operating memory devices are described, in which memory devices are configured to poison data based on an indication provided by a host device coupled with the memory devices. The indication may include which one or more bits to poison (invert) at which stages of performing write or read operations. In some embodiments, the memory device may invert one or more bits according to the indication and then correct one or more errors associated with inverting the one or more bit to verify its on-die ECC functionality. In some embodiments, the memory device may provide the host device with poisoned data including one or more bits inverted according to the indication such that the host device may test system-level ECC functionality using the poisoned data.

A packed error correction code (ECC) technique opportunistically embeds ECC check-bits with compressed data. When compressed, the data is encoded in fewer bits and is therefore fragmented when stored or transmitted compared with the uncompressed data. The ECC check-bits may be packed with compressed data at “source” points. The check-bits are transmitted along with the compressed data and, at any “intermediate” point between the source and a “destination” the check-bits may be used to detect and correct errors in the compressed data. In contrast with conventional systems, packed ECC enables end-to-end coverage for sufficiently-compressed data within the processor and also externally. While storage circuitry typically is protected by structure-specific ECC, protection is also beneficial for data as it is transmitted between processing and/or storage units.

This application discloses a neural network-based QEC decoding method. The method includes: obtaining error syndrome information of a quantum circuit; performing block feature extraction on the error syndrome information by using a neural network decoder, to obtain feature information; and performing fusion decoding processing on the feature information by using the neural network decoder, to obtain error result information, the error result information being used for determining a data qubit in which an error occurs in the quantum circuit and a corresponding error type. In this application, a block feature extraction manner is used, a quantity of channels of feature information obtained by each feature extraction is reduced, and inputted data of next feature extraction is reduced, which reduces a quantity of feature extraction layers in a neural network decoder. Therefore, a decoding time used by the neural network decoder is reduced, thereby achieving real-time error correction.

A method for execution by a vault management device of a storage network includes determining a failure impact level to vaults of the storage network based on a failed storage unit within the vaults, where the vaults include a first vault that is associated with a first set of storage units and a first decode threshold number, and a second vault that is associated with a second set of storage units and a second decode threshold number, and where the failure impact level is based on the number of non-failed storage units within each of the vaults. The method continues with determining a failure abatement approach based on the failure impact level. The method continues by with facilitating the failure abatement approach.

A method for execution by a vault management device of a storage network includes determining a failure impact level to vaults of the storage network based on a failed storage unit within the vaults, where the vaults include a first vault that is associated with a first set of storage units and a first decode threshold number, and a second vault that is associated with a second set of storage units and a second decode threshold number, and where the failure impact level is based on the number of non-failed storage units within each of the vaults. The method continues with determining a failure abatement approach based on the failure impact level. The method continues by with facilitating the failure abatement approach.

Methods and apparatus for transmitting and receiving broadcast signals are provided. The method for transmitting a broadcast signal includes encoding mobile data for forward error correction (FEC), encoding signaling data, forming data groups including the encoded mobile data and the encoded signaling data and transmitting a signal frame that includes the data groups.

Methods and apparatus for transmitting and receiving broadcast signals are provided. The method for transmitting a broadcast signal includes encoding mobile data for forward error correction (FEC), encoding signaling data, forming data groups including the encoded mobile data and the encoded signaling data and transmitting a signal frame that includes the data groups.