A quantum device includes a syndrome measurement circuit that implements an correction code using a plurality of Majorana qubit islands. The syndrome measurement circuit is adapted to effect a syndrome measurement by performing a sequence of measurement-only operations, where each one of the measurement-only operations involves at most two of the Majorana qubit islands.

A quantum device includes a syndrome measurement circuit that implements an correction code using a plurality of Majorana qubit islands. The syndrome measurement circuit is adapted to effect a syndrome measurement by performing a sequence of measurement-only operations, where each one of the measurement-only operations involves at most two of the Majorana qubit islands.

A low density parity check (LDPC) channel encoding method for use in a wireless communications system includes a communication device encoding an input bit sequence by using a LDPC matrix to obtain an encoded bit sequence for transmission. The LDPC matrix is obtained based on a lifting factor Z and a base matrix. The encoding method can be used in various communications systems including the fifth generation (5G) telecommunication systems, and can support various encoding requirements for information bit sequences with different code lengths.

A memory system includes a non-volatile memory and a controller. The controller is configured to perform iterative correction on a plurality of frames of data read from the non-volatile memory. The iterative correction includes performing a first error correction on each of the frames including a first frame having errors not correctable by the first error correction, generating a syndrome on a set of second frames that include the first frame, performing a second error correction on the second frames using the syndrome, and performing a third error correction on the first frame. Each of the frames includes user data and first parity data used in the first error correction, the first parity data of the first frame also being used in the third error correction.

A method for handling a read error on a block of a memory device is disclosed. In response to a read failure indicating that at least one error handling mechanism has handled the read error on the block and fails to read data stored in the block, a memory test is trigged to be performed on the block. The memory test is configured to determine whether the block malfunctions.

An encoding method and apparatus, a decoding method and apparatus, and a device are provided. The encoding method includes obtaining K to-be-encoded bits (S301), where K is a positive integer; determining a first generator matrix, where the first generator matrix includes at least two sub-blocks distributed based on a preset position relationship, and the sub-block includes a plurality of first generator matrix cores (S302); generating a second generator matrix based on the first generator matrix, where the second generator matrix includes T sub-blocks, and a position relationship between two adjacent sub-blocks of the T sub-blocks is determined based on the preset position relationship (S303), where T is a positive integer; and polar encoding the K to-be-encoded bits based on the second generator matrix (S304), to obtain encoded bits. This reduces encoding/decoding complexity.

The disclosure relates to a method performed by an apparatus for decoding an encoded signal in a communication system according to an embodiment of the disclosure may include an operation of receiving an encoded signal including a plurality of codeword bits, an operation of determining a first log-likelihood ratio (LLR) for the plurality of codeword bits, and an operation of performing iterative decoding a predetermined number of times based the first LLR, and the plurality of codeword bits may include a codeword bit included in a first subset and a codeword bit included in a second subset, and the operation of performing iterative decoding may include determining a second LLR only for the codeword bit included in the first subset of the plurality of codeword bits, and estimating, based on the second LLR, a bit value only for the codeword bit included in the first subset.

A method of extremely high coding rates for next-generation wireless local area network (WLAN) systems involves coding an input data at a first coding rate using codes designed for coding up to a second coding rate lower than the first coding rate to provide a coded data. The method also involves wirelessly transmitting the coded data.

A bit interleaver, a bit-interleaved coded modulation (BICM) device and a bit interleaving method are disclosed herein. The bit interleaver includes a first memory, a processor, and a second memory. The first memory stores a low-density parity check (LDPC) codeword having a length of 16200 and a code rate of 4/15. The processor generates an interleaved codeword by interleaving the LDPC codeword on a bit group basis. The size of the bit group corresponds to a parallel factor of the LDPC codeword. The second memory provides the interleaved codeword to a modulator for 64-symbol mapping.

A parity puncturing apparatus and method for variable length signaling information are disclosed. A parity puncturing apparatus according to an embodiment of the present invention includes memory configured to provide a parity bit string for parity puncturing for the parity bits of an LDPC codeword whose length is 16200 and whose code rate is 3/15, and a processor configured to puncture a number of bits corresponding to a final puncturing size from the rear side of the parity bit string.