A method for performing error correction for a plurality of storage drives and a storage appliance comprising a plurality of storage devices is disclosed. In one embodiment, the method includes generating a first set of parity bits from a first set of data of at least one of the plurality of storage devices, the first set of parity bits capable of correcting a first number of error bits of the first set of data. The method further includes generating a second set of parity bits from a concatenated set of the first data and a second set of data from at least another of the plurality of storage devices, the second set of parity bits capable of correcting a second number of error bits of the first set of data, the second number being greater than the first number. The method further includes reading the first set of data and (i) correcting error bits within the first set of data with the first set of parity bits where a number of error bits is less than the first number of error bits; and (ii) correcting error bits within the first set of data with the second set of parity bits where the number of error bits is greater than the first number.

An error correction encoding device includes an encoding unit to generate soft decision error correction frame information including a bit array of m rows and N columns obtained by combining first bit string group information and second bit string group information, the first bit string group information including a bit array of m rows and N1 columns in which it is enabled to perform pulse amplitude modulation of a combination of bit values of each column of the first bit string group information into a modulation symbol by using a first symbol mapping rule, the second bit string group information including a bit array of m rows and N2 columns in which it is enabled to perform pulse amplitude modulation of a combination of bit values of each column of the second bit string group information into a modulation symbol by using a second symbol mapping rule.

A method and an apparatus for transmitting broadcast signals thereof are disclosed. The apparatus for transmitting broadcast signals comprises an encoder for encoding service data, a mapper for mapping the encoded service data into a plurality of OFDM (Orthogonal Frequency Division Multiplex) symbols to build at least one signal frame, a frequency interleaver for frequency interleaving data in the at least one signal frame by using a different interleaving-seed which is used for every OFDM symbol pair comprised of two sequential OFDM symbols, a modulator for modulating the frequency interleaved data by an OFDM scheme and a transmitter for transmitting the broadcast signals having the modulated data, wherein the different interleaving-seed is generated based on a cyclic shifting value and wherein an interleaving seed is variable based on an FFT size of the modulating.

A method and apparatus for determining the sector size and concomitant host metadata size to determine the difference between total size of the data block to be stored, and using the difference for parity data. This allows an increase in parity bits available for smaller sector sizes and/or data with smaller host metadata sizes. Because the amount of space available for additional parity bits is known, data with lower numbers of parity bits may be assigned to higher quality portions a memory array written with longer programming trim times, and/or written to memory dies with good redundant columns, further increasing performance and reliability.

A quantum error correcting code with dynamically generated logical qubits is provided. When viewed as a subsystem code, the code has no logical qubits. Nevertheless, the measurement patterns generate logical qubits, allowing the code to act as a fault-tolerant quantum memory. Each measurement can be a two-qubit Pauli measurement.

A transmitting apparatus and a receiving apparatus are provided. The transmitting apparatus includes: an encoder configured to generate a low density parity check (LDPC) codeword by LDPC encoding based on a parity check matrix; an interleaver configured to interleave the LDPC codeword; and a modulator configured to map the interleaved LDPC codeword onto a modulation symbol, wherein the modulator is further configured to map a bit included in a predetermined bit group from among a plurality of bit groups constituting the LDPC codeword onto a predetermined bit of the modulation symbol.

An apparatus and method for generating a broadcast signal frame corresponding to a time interleaver supporting a plurality of operation modes are disclosed. An apparatus for generating broadcast signal frame according to an embodiment of the present invention includes a combiner configured to generate a multiplexed signal by combining a core layer signal and an enhanced layer signal at different power levels; a power normalizer configured to reduce the power of the multiplexed signal to a power level corresponding to the core layer signal; a time interleaver configured to generate a time-interleaved signal by performing interleaving that is applied to both the core layer signal and the enhanced layer signal; and a frame builder configured to generate a broadcast signal frame including a preamble for signaling time interleaver information corresponding to the time interleaver, the time interleaver uses one of time interleaver groups, and the time interleaver performs the interleaving by using one of a plurality of operation modes.

A particular overall architecture for transmission over a bonded channel system consisting of two interconnected MoCA (Multimedia over Coax Alliance) 2.0 SoCs (Systems on a Chip) and a method and apparatus for the case of a “bonded” channel network. With a bonded channel network, the data is divided into two segments, the first of which is transported over a primary channel and the second of which is transported over a secondary channel.

Disclosed is a 5.sup.th generation (5G) or a pre-5G communication system for supporting a data transmission rate higher than that of a 4.sup.th generation (4G) communication system such as long term evolution (LTE). An apparatus and a method for performing retransmission in a wireless communication system are provided. A method for operating a transmitting device in a wireless communication system, according to various embodiments of the present disclosure, comprises the steps of: transmitting a plurality of data code blocks (CBs) to at least one receiving device in an initial transmission step; receiving, from the at least one receiving device, feedback information including information for indicating the number of data CBs, from among the plurality of data CBs, for which decoding has failed; and transmitting the number of parity CBs, determined on the basis of the number of data CBs for which the decoding has failed, to the at least one receiving device in a retransmission step. Therefore, the resources required for retransmission can be reduced.

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, determine whether a number of the outer-encoded bits satisfies a predetermined number of bits required according to at least one of a code rate and a code length for Low Density Parity Check (LDPC) encoding, pads zero bits to some of the bits in the bit groups if the number of the outer-encoded bits is less than the predetermined number of bits, and maps the outer-encoded bits to remaining bits in the bit groups, based on a predetermined shortening pattern, thereby to constitute LDPC information bits; and an LDPC encoder configured to encode the LDPC information bits, wherein the some of the bits, in which zero bits are padded, are included in some of the bit groups which are not sequentially disposed in the LDPC information bits.