Techniques for performing forward error correction of data to be transmitted over an optical communications channel. The techniques include: receiving data bits; organizing the data hits into an arrangement having a plurality of blocks organized into rows and columns and into a plurality of strands including a first strand of blocks that includes a back portion comprising a first row of the plurality of blocks, and a front portion comprising blocks from at least two different columns in at least two different rows other than the first row of blocks; and encoding at least some of the data bits in the arrangement using a first error correcting code at least in part by generating first parity bits by applying the first error correcting code to first data bits in the front portion of the first strands and second data bits in the back portion of the first strand.

A method, apparatus, and system for a deinterleaver.

Secure distributed storage and transmission of electronic content is provided over at least one communication network. At least one data file is received and parsed into a plurality of segments, wherein each one of the segments has a respective size. Thereafter, each of the plurality of segments is divided into a plurality of slices, wherein each one of the slices has a respective size. A plurality of data chunks are encoded, each data chunk comprising a portion of at least two of the slices, wherein no portion comprises an entire slice. The data chunks are packaged with at least metadata, and each of the packages is assigned to respective remote storage nodes. Each of the packages is transmitted to the respectively assigned remote storage node.

In a coding device (20), a first coding unit (21) generates a parity of an RS code by coding, based on the RS code, each first data sequence existing in a direction different from a row direction of input data, and generates coded data by attaching the parity of the RS code to each first data sequence, thereby consequently expanding a matrix. A second coding unit (22) generates a parity of a BCH code and a parity of an LDPC code by coding, based on the BCH code and the LDPC code, each second data sequence existing in a row direction of the coded data, and generates a plurality of DVB-S2 frames (13) including, per DVB-S2 frame (13), one data sequence existing in the row direction of the coded data, the corresponding parity of the BCH code, and the corresponding parity of the LDPC code.

Examples of check codes, methods of creating check codes, and communication systems utilizing check codes, such as low-density parity-check codes (LDPC codes) are described herein. In some examples, check codes described herein utilize a larger number of check operations than check bits.

A low density parity check (LDPC) encoder, an LDPC decoder, and an LDPC encoding method are disclosed. The LDPC encoder includes first memory, second memory, and a processor. The first memory stores an LDPC codeword. The second memory is initialized to 0. The processor generates the LDPC codeword by performing accumulation with respect to the second memory using information bits. The accumulation is performed at parity bit addresses that are updated using a sequence corresponding to a parity check matrix (PCM).

A method, system, and apparatus for interleaving data including creating a buffer, writing input data, and reading output data out of the buffer.

Secure distributed storage and transmission of electronic content is provided over at least one communication network. At least one data file is received and parsed into a plurality of segments, wherein each one of the segments has a respective size. Thereafter, each of the plurality of segments is divided into a plurality of slices, wherein each one of the slices has a respective size. A plurality of data chunks are encoded, each data chunk comprising a portion of at least two of the slices, wherein no portion comprises an entire slice. The data chunks are packaged with at least metadata, and each of the packages is assigned to respective remote storage nodes. Each of the packages is transmitted to the respectively assigned remote storage node.

An encoder encodes input data utilizing a binary symmetry-invariant product code including D data bits and P parity bits in each dimension. The encoder includes a half-size data array including K subarrays each having multiple rows of storage for H bits of data, where D is an integer equal to 2H+1 and K is an integer that is 2 or greater. The encoder is configured to access K rows of data by reading a respective H-bit data word of input data from each of the multiple subarrays and K H-bit data words of duplicate data from across multiple different rows of the subarrays. The encoder further includes at least one register configured to receive the bits read from the half-size data array code and rotate them as needed, at least one row parity generator, and a column parity generator that generates column parities based on row parity.

Disclosed are devices, systems and methods for improving performance of a block of a memory device. In an example, performance is improved by implementing soft chipkill recovery to mitigate bitline failures in data storage devices. An exemplary method includes encoding each horizontal row of cells of a plurality of memory cells of a memory block to generate each of a plurality of codewords, and generating a plurality of parity symbols, each of the plurality of parity symbols based on diagonally positioned symbols spanning the plurality of codewords.