A Polar code decoding method and apparatus, a storage medium, and a terminal are provided. The method includes: dividing a Polar code having a length of N into S groups of Polar codes, each group of the S groups of Polar codes being data extracted from the Polar code having the length of N according to a preset rule, and S being an integer power of 2; and performing joint decoding on calculation results of the S groups of Polar codes after performing a logarithm likelihood ratio (LLR) calculation on each group of the S groups of Polar codes.

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.

Methods for data storage on polymers are provided. In various embodiments, an erasure error correcting code is selected. Input data is read from an input file. The erasure error correcting code is applied to the input data to generate a code word. The code word is encoded according to a chemical alphabet. A number of cycles required for synthesis is determined for the code word. The encoded code word is screened according to the number of cycles. The code word is retained where passing the screening.

A device and method for incrementally updating the error detecting and correcting bits for an error corrected block of data in a cross point memory array is disclosed. When an error corrected block of data is modified, only the modified data bits and the incrementally updated error detecting and correcting bits are changed in the cross point memory device for improved performant and reduced impact to device endurance.

Techniques relating to LDPC encoding. A set of operations is produced that is usable to generate an encoded message based on an input message. The set of operations corresponds to operations for entries in a smaller matrix representation that specifies locations of non-zero entries in an LDPC encoding matrix. A mobile device is configured with the set of operations to perform LDPC encoding. Circuitry configured with the set of operations performs LDPC encoding with high performance, relatively small area and/or low power consumption.

Disclosed relates to a decoder for LDPC code, including: a variable node processing unit; a check node processing unit; a memory for storing iterative messages of edges of a parity-check matrix for LDPC code; and a controller for controlling the node processing units to perform iterations of decoding until the decoding ends, wherein, in each iteration of decoding, the controller controls the variable node processing unit to compute variable node messages in a traversing manner for all variable nodes and updates the iterative messages in the memory according to the computed variable node messages, and controls the check node processing unit to compute check node messages in a traversing manner for all check nodes and updates the iterative messages in the memory according to the computed check node messages.

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 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 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 so that the puncturer selects parity bits included in the some of the bit groups positioned at the predetermined positions sequentially and selects parity bits included in the remainder of the bit groups without an order.

A method of managing data captured in an aerial camera system is disclosed. The method comprises commencing an aerial survey so as to produce aerial survey data, storing the aerial survey data on the survey aircraft directly on at least one magnetic tape cartridge, completing the aerial survey, sending the at least one magnetic tape cartridge to a data processing facility, and retrieving the aerial survey data from the at least one magnetic tape cartridge at the data processing facility. A corresponding system is also disclosed.

A data processing system having a neural network architecture for receiving a binary network input and, in dependence on the binary network input, propagating signals via a plurality of processing nodes, in accordance with respective binary weights, to form a network output, the data processing system being configured to train a node by implementing an error correcting function to identify a set of binary weights which minimize, for a given input to the node, any error between an output of the node when formed in accordance with current binary weights of the node and a preferred output from the node and to update the binary weights of the node to be the identified weights. This training is performed without storing and/or using any higher arithmetic precision weights or other components.

Devices, systems and methods for convolutional precoding and decoding of polar codes are disclosed. An example method for error correction in a data processing system includes receiving a noisy codeword, the codeword having been generated based on an outer stream decodable code and an inner polar code and provided to a communication channel or a storage channel prior to reception by the decoder, the stream decodable code characterized by a trellis, and performing, based on the trellis, a list-decoding operation on the noisy codeword vector to generate a plurality of information symbols, the list-decoding operation being configured to traverse through a plurality of states at one or more stages of a plurality of decoding stages.