Methods and systems for managing decoding of control channel on a multi-SIM UE. A method includes receiving, by the UE, the plurality of control channels from at least one Base Station (BS), the plurality of control channels corresponding to a plurality of Subscriber Identity Modules (SIMs), selecting, by the UE, a respective decoder for each of the plurality of SIMs, and decoding, by the UE, each respective control channel among the plurality of control channels using the respective decoder for a respective SIM among the plurality of SIMs, the respective SIM corresponding to the respective control channel.

An apparatus is provided which comprises at least one processor, at least one memory including computer program code, and the at least one processor, with the at least one memory and the computer program code, being arranged to cause the apparatus to at least perform generating a code block including information bits and parity bits, the parity bits being generated by performing a cyclic redundancy check on the information bits, determining the number of parity bits used in generating the code block based on an applied linear error correcting code base graph and/or based on the number of the information bits, and encoding the code block by using the applied linear error correcting code base graph.

A transmitter is provided. The transmitter includes: a Low Density Parity Check (LDPC) encoder configured to encode input bits to generate parity bits; a parity permutator configured to group-wise interleave a plurality of bit groups including the parity bits; and a puncturer configured to select some of the parity bits in the group-wise interleaved bit groups and puncture the selected parity bits, wherein the parity permutator group-wise interleaves the bit groups such that some of the bit groups at predetermined positions in the bit groups before the group-wise interleaving are positioned serially after the group-wise interleaving and a remainder of the bit groups before the group-wise interleaving are positioned without an order after the group-wise interleaving so that the puncturer selects parity bits included in the some of the bit groups sequentially and selects parity bits included in the remainder of the bit groups without an order.

A transmission device, a transmission method, a reception device, and a reception method for securing good communication quality in data transmission using an LDPC code. The LDPC coding is performed using a parity check matrix with the code length N of 17280 bits and the coding rate r of 13/16 or 14/16. The LDPC code includes information bits and parity bits, and the parity check matrix includes an information matrix portion corresponding to the information bits and a parity matrix portion corresponding to the parity bits. The information matrix portion is represented by a parity check matrix initial value table, and the parity check matrix initial value table is a table representing positions of elements of 1 of the information matrix for every 360 columns.

A parity interleaving apparatus and method for fixed length signaling information are disclosed. A parity interleaving apparatus according to an embodiment of the present invention includes a processor configured to generate a parity bit string for parity puncturing by segmenting parity bits of an LDPC codeword whose length is 16200 and whose code rate is 3/15, into a plurality of groups, and group-wise interleaving the groups using an order of group-wise interleaving; and memory configured to provide the parity bit string for parity puncturing to a parity puncturing unit.

A memory system comprising a qubit array configured to store therein one or more entangled qubit states encoded using a quantum stabilizer code. The memory system further comprises a quantum-state-refresh module configured to refresh an entangled qubit state in the qubit array when a degradation error is detected therein. The quantum-state-refresh module is further configured to detect the degradation error by performing a redundant measurement of a set of syndrome values corresponding to the quantum stabilizer code. The redundant measurement is based on an error-correction code defined using the generator matrix of the quantum stabilizer code and a corresponding supplemental parity-check matrix. In an example embodiment, each of the generator and supplemental parity-check matrices has a respective inclined-stripe form.

A zero padding apparatus and method for fixed length signaling information are disclosed. A zero padding apparatus according to an embodiment of the present invention includes a processor configured to generate a LDPC information bit string by deciding a number of groups whose all bits are to be filled with 0 using a difference between a length of the LDPC information bit string and a length of a BCH-encoded bit string, selecting the groups using a shortening pattern order to fill all the bits of the groups with 0, and filling at least a part of remaining groups, which are not filled with 0, with the BCH-encoded bit string; and memory configured to provide the LDPC information bit string to an LDPC encoder.

A transmitter is provided. The transmitter includes: an outer encoder configured to encode input bits to generate outer-encoded bits including the input bits and parity bits; a zero padder configured to constitute Low Density Parity Check (LDPC) information bits including the outer-encoded bits and zero bits; and an LDPC encoder configured to encode the LDPC information bits, wherein the LDPC information bits are divided into a plurality of bit groups, and wherein the zero padder pads zero bits to at least some of the plurality of bit groups, each of which is formed of a same number of bits, to constitute the LDPC information bits based on a predetermined shortening pattern which provides that the some of the plurality of bit groups are not sequentially disposed in the LDPC information bits.

A transmitter is provided. The transmitter includes: an outer encoder configured to encode input bits to generate outer-encoded bits including the input bits and parity bits; a zero padder configured to generate a plurality of bit groups each of which is formed of a same number of bits, maps the outer-encoded bits to some of the bits in the bit groups, and pads zero bits to remaining bits in the bit groups, based on a predetermined shortening pattern, thereby to constitute Low Density Parity Check (LDPC) information bits; and an LDPC encoder configured to encode the LDPC information bits, wherein the remaining bits in which zero bits are padded include some of the bit groups which are not sequentially disposed in the LDPC information bits.

A transmitter is provided. The transmitter includes: a Low Density Parity Check (LDPC) encoder configured to encode input bits to generate parity bits; a parity permutator configured to perform parity permutation by interleaving the parity bits and group-wise interleaving a plurality of bit groups including the interleaved parity bits; and a puncturer configured to puncture some of the parity bits in the group-wise interleaved bit groups, wherein the parity permutator group-wise interleaves the bit groups such that some of the bit groups are positioned at predetermined positions, respectively, and a remainder of the bit groups are positioned without an order within the group-wise interleaved bit groups.