The present disclosure relates to a decoding method. The decoding method includes a sequentially determining series of source bits from a codeword by performing a first decoding operation and a second decoding operation. For instance, a series of N source bits may be divided into a first bit group of X source bits and a second bit group of Y source bits. The initial X source bits are sequentially determined in the first decoding operation and the remaining Y source bits are sequentially determined in the second decoding operation. The first decoding operation includes sorting at least 2L reliability values, which are calculated from L bit sequences, where L is an integer greater than 0. The second decoding operation includes determining a source bit in each of the L bit sequences, based on the at least 2L reliability values.

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 method of reading from a storage medium to recover a group of information sectors, each comprising a respective information payload. The medium stores redundancy data comprising a plurality of separate redundancy codes for the group, each code being a linear sum of terms, each term in the sum being the information payload from a different respective one of the information sectors in the group weighted by a respective coefficient of a set of coefficients for the redundancy code. The method comprises, after the redundancy data has already been stored on the medium: identifying a set of k′ information sectors to be recovered; selecting k′ of the redundancy codes; determining a square matrix E of the k′ information sectors by the k′ sets of coefficients of the selected codes; determining a matrix D being a matrix inverse of E; and recovering the k′ information payloads from the inverse matrix D.

A system and method for distributing data over a plurality of remote storage nodes. Data are split into segments and each segment is encoded into a number of codeword chunks. None of the codeword chunks contains any of the segments. Each codeword chunk is packaged with at least one encoding parameter and identifier, and metadata are generated for at least one file and for related segments of the at least one file. The metadata contains information to reconstruct from the segments, and information for reconstructing from corresponding packages. Further, metadata are encoded into package(s), and correspond to a respective security level and a protection against storage node failure. A plurality of packages are assigned to remote storage nodes to optimize workload distribution. Each package is transmitted to at least one respective storage node as a function iteratively accessing and retrieving the packages of metadata and file data.

The technology relates to an encoding device, an encoding method, a decoding device, a decoding method, and a program enabling encoding with favorable transmission efficiency with a controlled running disparity.

A calculation section divides inputted data into N or M bits to calculate a first running disparity of an N or M bit data string. A determination section determines whether the data string is inverted based on the first running disparity calculated by the calculation section and a second running disparity calculated therebefore. An addition section inverts or non-inverts the data string based on a determination result by the determination section to add a flag indicating the determination result for outputting. The determination section determines not to perform inversion when the data string is a control code. The addition section adds the flag assigned to the control code. The technology is applicable to a device communicating in an SLVS-EC specification.

A processing circuit configured to: receive original data; partition the original data into a plurality of original q-bit words; assemble a data packet including N original q-bit words from the plurality of original q-bit words; identify a first encoder value and a second encoder value that are absent from the values of the N original q-bit words; encode the N original q-bit words based on a one-to-one mapping from q-bit original values to q-bit encoded values based on the first encoder value and the second encoder value to generate N encoded q-bit payload words, the N encoded q-bit payload words being free of words that are all-zeroes and free of words that are all-ones; generate a key representing the first encoder value and the second encoder value; and transmit the key and the N encoded q-bit payload words.

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.

A method of producing a set of coded bits from a set of information bits for transmission between a first node and a second node in a wireless communications system, the method comprises generating a codeword vector by encoding the set of information bits with a low-density parity-check code, wherein the codeword vector is composed of systematic bits and parity bits. The method comprises performing circular buffer-based rate matching on the generated codeword vector to produce the coded bits for transmission, wherein the circular buffer-based rate matching comprises puncturing a first plurality of systematic bits.

This application provides a data transmission method, a base station, and a terminal device. The method includes: determining, by a base station, a target base graph in N Raptor-like LDPC base graphs; and sending, by the base station, indication information to a terminal device, where the indication information is used to indicate the terminal device to use the target base graph to perform LDPC encoding and decoding. Based on the foregoing technical solution, the base station may determine a target base graph in a plurality of Raptor-like LDPC base graphs that may be used to perform LDPC encoding and decoding, and indicate the target base graph to the terminal device. Further, for one code rate or one code length, the base station may select different base graphs as required.