This disclosure describes systems, methods, and devices related to over-puncture mitigation. A device may generate a frame comprising a payload having a payload size associated with a number of bits. The device may determine a low-density parity-check (LDPC) codeword size based on the payload size. The device may calculate a number of codewords based on the payload size. The device may calculate a number of shortening bits and a number of LDPC padding bits based on the number of codewords. The device may calculate a number of orthogonal frequency division multiplexing (OFDM) symbols for containing the number of codewords. The device may cause to send the frame with the number of OFDM symbols to a station device.

method and apparatus for synchronizing replicated data in a storage network. In an embodiment, a method begins by a processing module of a computing device identifying a first storage set and a second storage set for replicated storage of a data object. The processing module initiates storage of the data object in both the first and second storage sets, and further maintains a synchronization status for the data object. The processing module determines, based at least in part on the synchronization status, to resynchronize the first storage set and the second storage set. In response to determining to resynchronize the first storage set and the second storage set, the processing module identifies a latest available revision of the data object, determines that the second storage set requires the latest available revision of the data object to maintain synchronization, and facilitates storage of the identified latest available revision of the data object in the second storage set.

method and apparatus for synchronizing replicated data in a storage network. In an embodiment, a method begins by a processing module of a computing device identifying a first storage set and a second storage set for replicated storage of a data object. The processing module initiates storage of the data object in both the first and second storage sets, and further maintains a synchronization status for the data object. The processing module determines, based at least in part on the synchronization status, to resynchronize the first storage set and the second storage set. In response to determining to resynchronize the first storage set and the second storage set, the processing module identifies a latest available revision of the data object, determines that the second storage set requires the latest available revision of the data object to maintain synchronization, and facilitates storage of the identified latest available revision of the data object in the second storage set.

An encoding circuit includes an allocator configured to allocate symbols among a plurality of symbols within a constellation of multilevel modulation and correspond to values of a plurality of bit strings, a converter configured to convert values of each of bit strings excluding a first bit string so that, as a region within the constellation is closer to the center of the constellation, the number of symbols allocated in the region is larger, a switch configured to switch between a first time period in which a first error correction code is inserted and a second time period in which the first error correction code is not inserted, and an insertor configured to generate the first error correction code from a second bit string in the second time period and inserts the first error correction code in two or more bit strings in the first time period according to the switching.

A computing device for use in a dispersed storage network (DSN) to recover corrupt encoded data slices. The computing device requests, from storage units of the DSN, encoded data slices corresponding to a data segment. In response, the computing device receives at least a decode threshold number of encoded data slices and at least one integrity error message that provides an indication of a corrupt encoded data slice, such that less than a decoded threshold number of valid slices is received. Utilizing at least one correction approach, which may involve stored integrity data, the computing device corrects the corrupt slice(s) to produce a decode threshold number of encoded data slices in order to decode the corresponding data segment. A variety of correction approaches may be employed, including a multi-stage approach that utilizes data from both valid and invalid slices.

A computing device for use in a dispersed storage network (DSN) to recover corrupt encoded data slices. The computing device requests, from storage units of the DSN, encoded data slices corresponding to a data segment. In response, the computing device receives at least a decode threshold number of encoded data slices and at least one integrity error message that provides an indication of a corrupt encoded data slice, such that less than a decoded threshold number of valid slices is received. Utilizing at least one correction approach, which may involve stored integrity data, the computing device corrects the corrupt slice(s) to produce a decode threshold number of encoded data slices in order to decode the corresponding data segment. A variety of correction approaches may be employed, including a multi-stage approach that utilizes data from both valid and invalid slices.

An encoding circuit includes an allocator configured to allocate symbols among a plurality of symbols within a constellation of multilevel modulation and correspond to values of a plurality of bit strings, a converter configured to convert values of each of bit strings excluding a first bit string so that, as a region within the constellation is closer to the center of the constellation, the number of symbols allocated in the region is larger, a switch configured to switch between a first time period in which a first error correction code is inserted and a second time period in which the first error correction code is not inserted, and an insertor configured to generate the first error correction code from a second bit string in the second time period and inserts the first error correction code in two or more bit strings in the first time period according to the switching.

An arithmetic unit comprises a video input unit to which is input recorded video information obtained by taking a video of a human, a memory which stores human motion information as information related to movement of the human, and a transmission unit which determines importance of the human motion information, and sends the recorded video information and the human motion information to an external device so that availability of the human motion information in the external device will increase more for the human motion information determined as having high importance.

An arithmetic unit comprises a video input unit to which is input recorded video information obtained by taking a video of a human, a memory which stores human motion information as information related to movement of the human, and a transmission unit which determines importance of the human motion information, and sends the recorded video information and the human motion information to an external device so that availability of the human motion information in the external device will increase more for the human motion information determined as having high importance.

Methods and apparatus are provided for facilitating synchronization between a base station (BS) and a user equipment (UE) in a mobile communication system. The UE receives a synchronization signal originated by the BS. The synchronization signal is encoded with a selected cyclically permutable (CP) codeword. Encoding of the synchronization signal is facilitated by a repetitive cyclically permutable (RCP) codeword derivable from the selected CP codeword. The RCP codeword has a plurality of codeword elements each associated with a value, the value of at least one codeword element in the RCP codeword being repeated in another codeword element position in the RCP codeword. And the synchronization signal is decoded in accordance with repetitive structure of the RCP codeword.