A method comprising initializing, by a processor, a field identification (FID) field and a file type field in a memory encryption counter block associated with pages for each file of a plurality of files stored in a persistent memory device (PMD), in response to a command by an operating system (OS). The file type field identifies whether each file associated with FID field is one of an encrypted file and a memory location. The method includes decrypting data of a page stored in the PMD, based on a read command by a requesting core. When decrypting, determining whether the requested page is an encrypted file or memory location. If the requested page is an encrypted file, performing decryption based on a first encryption pad generated based on the file encryption key of the encrypted file and a second encryption pad generated based on a processor key of the secure processor.

A decoding method performed by a receive end device is disclosed. The decoding method includes: receiving a first bit signal; performing level-M forward error correction (FEC) decoding on the first bit signal to obtain a second bit signal, where M is a positive integer greater than zero; checking the second bit signal to obtain a first check result; performing level-(M+1) FEC decoding on the second bit signal based on the first check result to obtain a third bit signal; and, upon determining that M+1 reaches a first preset threshold, performing data processing on the third bit signal to obtain a fourth bit signal, where the fourth bit signal is used by the receive end device to obtain service data transmitted by a transmit end device.

A controller includes an Error Correction Code (ECC) encoder adding a first parity to data to generate a data set, and encoding the data set to generate a first parity data set, a buffer temporarily storing the first parity data set, an ECC decoder decoding the first parity data set received from the buffer to generate a decoded data set, a first checker performing a Low Density Parity Check (LDPC) encoding on the decoded data set to generate an LDPC data set to which a second parity is added, and a second checker performing a syndrome check operation on the LDCP data set including the first and second parities.

Channel selection information indicate positions of data bits of input data, positions of error correction code (ECC) parity bits for correcting errors in the input data, and positions of state shaping parity bits. The ECC parity bits and the state shaping parity bits are generated to cause a decrease in a quantity of memory cells, of the plurality of memory cells, in which at least one target state among a plurality of states is programmed. An alignment vector is generated based on aligning the data bits of the input data, the ECC parity bits, and the state shaping parity bits, based on the channel selection information. A codeword is generated based on simultaneously performing state shaping and ECC encoding with respect to the alignment vector. Write data are written in the nonvolatile memory device based on the codeword.

A transmitter is provided. The transmitter includes: a low density parity check (LDPC) encoder configured to encode input bits to generate an LDPC codeword including the input bits and parity bits; a repeater configured to select at least a part of bits constituting the LDPC codeword and add the selected bits after the input bits; and a puncturer configured to puncture at least a part of the parity bits.

A controller includes an Error Correction Code (ECC) encoder adding a first parity to data to generate a data set, and encoding the data set to generate a first parity data set, a buffer temporarily storing the first parity data set, an ECC decoder decoding the first parity data set received from the buffer to generate a decoded data set, a first checker performing a Low Density Parity Check (LDPC) encoding on the decoded data set to generate an LDPC data set to which a second parity is added, and a second checker performing a syndrome check operation on the LDCP data set including the first and second parities.

A controller includes an Error Correction Code (ECC) encoder adding a first parity to data to generate a data set, and encoding the data set to generate a first parity data set, a buffer temporarily storing the first parity data set, an ECC decoder decoding the first parity data set received from the buffer to generate a decoded data set, a first checker performing a Low Density Parity Check (LDPC) encoding on the decoded data set to generate an LDPC data set to which a second parity is added, and a second checker performing a syndrome check operation on the LDCP data set including the first and second parities.

Embodiments provide a Polar code transmission method and apparatus. A bit sequence is encoded into a code sequence using Polar code by a network device. The bit sequence contains a control signaling and a Cyclic Redundancy Code (CRC) sequence. The code sequence is transformed into M copies such that an i.sub.th information copy of the M copies multiples by a first matrix of the power of (i−1). M is an integer and M>0. M copies of codeword was encoded by Polar code, the M copies implicitly conveys different time stamp information, which is suitable for the transmission of PBCH in 5G communication system, signaling overhead is also reduced.

The invention discloses a method for transmitting additional information using linear block codes, which comprises the following steps: when encoding: a linear block code C with a code length of n and an information bit length of k is used as a payload code, to embed an additional information sequence v of length m by superposition coding and resulting into a codeword c of length n. When decoding, firstly decode the additional information according to the received sequence y: select an additional information sequence with the largest characteristic metric function value as the decode output. Then perform payload information sequence decoding: remove the interference of superposition sequence ŝ from the received sequence y, and then use the basic linear block code C decoder to decode. The present invention can transmit a small amount of additional information at a low frame error rate while causing a negligible effect on payload information decoding without additionally increasing transmission energy and bandwidth overhead.

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.