A memory system includes a non-volatile memory and a controller. The controller is configured to perform iterative correction on a plurality of frames of data read from the non-volatile memory. The iterative correction includes performing a first error correction on each of the frames including a first frame having errors not correctable by the first error correction, generating a syndrome on a set of second frames that include the first frame, performing a second error correction on the second frames using the syndrome, and performing a third error correction on the first frame. Each of the frames includes user data and first parity data used in the first error correction, the first parity data of the first frame also being used in the third error correction.

System and methods are disclosed that comprise receiving at least one signal via a receiver. The at least one signal is extracted for data via a processor coupled to the receiver, wherein the data includes at least one message and a set of parameters related to the message. A signal output is generated using the at least one message and the set of parameters such that the signal output includes a first portion and a second portion. At least one error is identified in the signal output and corrected using the first portion and the second portion. An output is generated that is used to perform at least one task related to the at least one signal.

Control information for configuring an audiovisual device to present multimedia content according to a first service type may be generated. A method may include generating first control information for configuring an audiovisual device to decode a multimedia stream, generating first data that indicates a structure of the first control information, and transmitting the first data and the first control information. The first control information may be generated according to a first protocol version. Second data and second control information may be similarly generated and transmitted according to a second protocol version. Disclosed techniques may facilitate receiving devices to determine whether they support received wireless transmissions and decode the transmissions based on the control information.

Various implementations described herein relate to systems and methods for decoding data stored in a non-volatile storage device, including determining error candidates and determining whether at least one first error candidate from the error candidates is found based on two of the component codes agreeing on a same error candidate. In addition, whether at least one second error candidate is found based on two of the component codes agreeing on a same error candidate is determined in response to implementing a suggested correction at one of the error candidates. Errors in the data are corrected based on at least one of whether the at least one first error candidate is found or whether the at least one second error candidate is found.

A method includes writing sets of encoded data slices to storage units of a storage network in accordance with error encoding parameters, where for a set of encoded data slices, the error encoding parameters include an error coding number and a decode threshold number, the error coding number indicates a number of encoded data slices that results when a data segment is encoded using an error encoding function and the decode threshold number indicates a minimum number needed to recover the data segment. The method further includes monitoring processing of the writing the sets of encoded data slices to produce write processing performance information. When the write processing performance information compares unfavorably to a desired write performance range, the method further includes adjusting at least one of the error coding number and the decode threshold number to produce adjusted error encoding parameters for writing subsequent encoded data slices.

A memory system includes an encoder and a decoder. The encoder is configured to generate multi-dimensionally-coded data to be written into the non-volatile memory. Data bits of the multi-dimensionally-coded data are grouped into first and second dimensional codes with respect to first and second dimensions, respectively. The decoder is configured to, with respect to each of the first and second dimensional codes included in read multi-dimensionally-coded data, generate a syndrome value of the dimensional code, generate low-reliability location information, generate a soft-input value based on the syndrome value and the low-reliability location information, decode the dimensional code through correction of the dimensional code using the soft-input value, and store modification information indicating a bit of the dimensional code corrected through the correction and reliability information indicating reliability of the correction. The decoder generates the soft-input value also based on the modification information and the reliability information in the memory.

An instance of an event associated with error correcting code operations performed on a data block of the non-volatile memory is identified. An entry for a record is generated. The entry is indicative of the instance of the event. Whether a frequency of the event satisfies a threshold condition based on the record is determined. Responsive to determining that the frequency of the event satisfies the threshold condition, a remix operation on the data block is performed to change a logical to physical association of the data block from a first logical association to a second logical association.

A memory system includes an encoder and a decoder. The encoder is configured to generate multi-dimensionally-coded data to be written into the non-volatile memory. Data bits of the multi-dimensionally-coded data are grouped into first and second dimensional codes with respect to first and second dimensions, respectively. The decoder is configured to, with respect to each of the first and second dimensional codes included in read multi-dimensionally-coded data, generate a syndrome value of the dimensional code, generate low-reliability location information, generate a soft-input value based on the syndrome value and the low-reliability location information, decode the dimensional code through correction of the dimensional code using the soft-input value, and store modification information indicating a bit of the dimensional code corrected through the correction and reliability information indicating reliability of the correction. The decoder generates the soft-input value also based on the modification information and the reliability information in the memory.

A communication device includes an interleaving unit that determines an interleaving length of transmit data to be transmitted through free-space optical communication, and interleaves the transmit data based on the determined interleaving length, and a shaping unit that shapes the interleaved transmit data so as to make the interleaving length detectable on a receiving side of the free-space optical communication.

A processing circuit implements: an encoder configured to: supply k symbols of original data to a neural product encoder including M neural encoder stages, a j-th neural encoder stage including a j-th neural network configured by j-th parameters to implement an (n.sub.j,k.sub.j) error correction code (ECC), where n.sub.j is a factor of n and k.sub.j is a factor of k; and output n symbols representing the k symbols of original data encoded by an error correcting code; or a decoder configured to supply n symbols of a received message to a neural product decoder including neural decoder stages grouped into a l pipeline stages, an i-th pipeline stage of the neural product decoder including M neural decoder stages, a j-th neural decoder stage comprising a j-th neural network configured by j-th parameters to implement an (n.sub.j,k.sub.j) ECC; and output k symbols decoded from the n symbols of the received message.