Quantum repeaters and network architectures use two concatenated quantum error correction codes to increase the transmission range of quantum information. A block of data qubits collectively encode a second-layer logical qubit according to a second-layer code concatenated with a first-layer code. A first-layer quantum repeater first-layer corrects each data qubit based on a first-layer syndrome extracted therefrom. The first-layer quantum repeater transmits these first-layer-corrected qubits to a second-layer quantum repeater via a quantum communication channel. The first-layer quantum repeater also transmits the first-layer syndromes to the second-layer quantum repeater via a classical communication channel. After extracting a second-layer syndrome from the first-layer-corrected qubits, the second-layer quantum repeater uses the first-layer syndromes and second-layer syndrome to second-layer correct the first-layer-corrected qubits. The first-layer syndromes improve quantum error correction by reducing the number of sec-and-layer stabilizer measurements needed to determine which data qubits have an error.

A method is provided for receiving a signal. The method includes receiving a signal transmitted in a radio frequency (RF) band including at least one RF channel, demodulating the received signal, parsing a preamble of a signal frame including layer-1 information from the demodulated signal, deinterleaving bits of the layer-1 information, decoding the deinterleaved bits using an error correction decoding scheme including a shortening scheme and a puncturing scheme and obtaining physical layer pipes (PLPs) from the signal frame using the error-correction-decoded layer-1 information.

A codeword is generated based on a segmentation transform and a Polarization-Assisted Convolutional (PAC) code that includes an outer convolutional code and a polar code, and based on separate encoding of respective different segments of convolutionally encoded input bits according to the polar code. Each segment of the respective segments includes multiple bits of the convolutionally encoded input bits for which the separate encoding of the segment is independent of the separate encoding of other segments. Separate decoding may be applied to segments of such a codeword to decode convolutionally encoded input bits corresponding to the separately encoded segments of the convolutionally encoded input bits.

The present disclosure discloses a new coding scheme, which is constructed by superimposing together a pair of basic codes in a twisted manner. A SCL decoding algorithm is proposed for the TPST codes, which may be early terminated by a preset threshold on the empirical divergence functions (EDF) to trade off performance with decoding complexity. The SCL decoding of TPST is based on the efficient list decoding of the basic codes, where the correct candidate codeword in the decoding list is distinguished by employing a typicality-based statistical learning aided decoding algorithm. Lower bounds for the two layers of TPST are derived, which may be used to predict the decoding performance and to show the near-ML performance of the proposed SCL decoding algorithm. The construction of TPST codes may be generalised by allowing different basic codes for the two layers.

The disclosed systems, structures, and methods are directed to encoding and decoding information for transmission across a communication channel. The encoding method includes: distributing the information bits between m parallel polar codes such that each of the m parallel polar codes includes a subset of the information bits; splitting the subset of information bits in each of the m parallel polar codes into a protected information section and a full rate information section; protecting information bits in the protected information section of each of the m parallel polar codes; arranging a plurality of frozen bits in each of the m parallel polar codes; and generating a polar encoded codeword for each of the m parallel polar codes.

In a mobile communication system, an error detection code or a quality frame indicator (e.g., CRC) is generated using selectively frame information, and at least one of a WCA identifier of another terminal, and a corresponding terminal identifier. And the terminal identifier can be implicitly transmitted to the receiver.

A code bit of an LDPC code in which a code length is 16200 bits and an encoding rate is 8/15 is interchanged with a symbol bit of a symbol corresponding to any of 8 signal points defined by 8PSK. When 3 bits of code bits stored in three units of storages having a storage capacity of 16200/3 bits and read bit by bit from the units of storages are allocated to one symbol, a (#i+1)-th bit from a most significant bit of the 3 bits of code bits is set to a bit b#i, a (#i+1)-th bit from a most significant bit of 3 bits of symbol bits of the one symbol is set to a bit y#i, and a bit b0 is interchanged with a bit y1, a bit b1 is interchanged with a bit y0, and a bit b2 is interchanged with a bit y2.

A method and an apparatus for transmitting broadcast signals thereof are disclosed. The apparatus for transmitting broadcast signals, the apparatus comprises an encoder for encoding service data corresponding to each of a plurality of data transmission path, wherein each of the data transmission path carries at least one service component, a frame builder for building at least one signal frame included in a super frame, wherein each of signal frames includes the encoded service data and the encoded signaling data, a modulator for modulating the at least one signal frame by an OFDM (Orthogonal Frequency Division Multiplex) scheme, wherein each of the modulated signal frame includes a preamble having basic transmission parameters, wherein a length of the preamble is extendable and a transmitter for transmitting the broadcast signals carrying the at least one modulated signal frame.

Aspects of the disclosure relate to wireless communication systems configured to provide techniques for multiplexing dedicated control information for a plurality of users in a single information block and polar coding the information block to produce a polar code block of dedicated control information for transmission over a wireless air interface. The information block may further include group cyclic redundancy check (CRC) information for the information block and individual CRC information for each dedicated control information.

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 to be transmitted in a current frame; a parity permutator configured to perform parity-permutation by interleaving the parity bits and group-wise interleaving a plurality of bit groups configuring the interleaved parity bits based on a group-wise interleaving pattern including a first pattern and a second pattern; a puncturer configured to puncture some of the parity-permutated parity bits; and an additional parity generator configured to select at least some of the punctured parity bits to generate additional parity bits to be transmitted in a previous frame of the current frame, based on the first pattern and the second pattern, wherein the first pattern determines parity bits to remain after the puncturing and then to be transmitted in the current frame.