An operation method of an apparatus for decrypting input data of N*X bits (where N and X are positive integers) encrypted by using a block-level encryption algorithm, includes: receiving the input data and decoding the input data into data of N*Y bits (where Y is a positive integer) whose number is different from a number of N*X bits; performing first decryption operation processing of the block-level encryption algorithm on the data of N*Y bits; encoding the data of N*Y bits on which the first decryption operation processing is performed into intermediate data of N*X bits; and performing a plurality of intermediate round operations of a preset number based on the intermediate data of N*X bits.

A node receives transmissions associated with a given set of information bits, wherein each of the transmissions use a different polar code and share one or more information bits of the given set of information bits. The node determines, at each of a plurality of polar decoders of the node, soft information for each information bit included in an associated one of the transmissions, wherein each of the plurality of polar decoders is associated with a different transmission of the transmissions. The node provides, from each polar decoder of the plurality to one or more other polar decoders of the plurality, the determined soft information for any information bits shared by their respective associated transmissions, and uses the provided soft information in an iterative decoding process to decode one or more of the received transmissions.

An operating method of a memory controller is provided. The operating method includes receiving a first read data and a second conversion information, the second conversion information including data obtained by converting a second read data based on a linear operation, and the first read data and the second read data including data read from same memory cells; converting the first read data based on the linear operation to generate a first conversion information; performing a logical operation on the first conversion information and the second conversion information to generate an operation information; performing an inverse operation of the linear operation on the operation information to generate a reliability information; and correcting an error of the first read data based on the first read data and the reliability information.

A transmitter for transmitting an encoded codeword over a communication channel includes a source to accept source data, an irregular polar encoder operated by a processor to encode the source data with at least one polar code to produce the encoded codeword, a modulator to modulate the encoded codeword, and a front end to transmit the modulated and encoded codeword over the communication channel. The polar code is specified by a set of regular parameters including one or combination of parameters defining a number of data bits in the codeword, a parameter defining a data index set specifying locations of frozen bits in the encoded codeword, and a parameter defining a number of parity bits in the encoded codeword. The polar code is further specified by a set of irregular parameters including one or combination of parameters defining an irregularity of values of at least one regular parameter of the polar code, a parameter defining an irregularity of permutation of the encoded bits, a parameter defining an irregularity of polarization kernels in the polar code, and a parameter defining an irregularity in selection of de-activated exclusive-or operations on different stages of the polar encoding, and wherein the irregular polar encoder encodes the codeword using the regular and the irregular parameters of the polar code.

A node receives transmissions associated with a given set of information bits, wherein each of the transmissions use a different polar code and share one or more information bits of the given set of information bits. The node determines, at each of a plurality of polar decoders of the node, soft information for each information bit included in an associated one of the transmissions, wherein each of the plurality of polar decoders is associated with a different transmission of the transmissions. The node provides, from each polar decoder of the plurality to one or more other polar decoders of the plurality, the determined soft information for any information bits shared by their respective associated transmissions, and uses the provided soft information in an iterative decoding process to decode one or more of the received transmissions.

Systems and methods are disclosed for decoding data. A first block of data may be obtained from a storage medium or received from a computing device. The first block of data includes a first codeword generated based on an error correction code. A first set of likelihood values is obtained from a neural network. The first set of likelihood values indicates probabilities that the first codeword will be decoded into one of a plurality of decoded values. A second set of likelihood values is obtained from a decoder based on the first block of data. The second set of likelihood values indicates probabilities that the first codeword will be decoded into one of the plurality of decoded values. The first codeword is decoded to obtain a decoded value based on the first set of likelihood values and the second set of likelihood values.

Provided in the present disclosure are a method and device for decoding a Turbo product code, and a computer-readable storage medium. The method includes: acquiring a received codeword and a code pattern of the Turbo product code; determining a reduced error mode set according to the code pattern, a number of unreliable bits, and a reduced number of error bits, where the reduced number of error bits is less than the number of unreliable bits; calculating an optimal codeword according to the reduced error mode set and the received codeword; calculating extrinsic information by using a decoding algorithm according to the optimal codeword; and performing iterative computation according to the extrinsic information and a preset number of iterations to obtain a decoding result of the received codeword.

A method includes: generating a trellis; generating one or more predicted symbols using a first non-linear model; computing and saving two or more branch metrics using a priori log-likelihood ratio (LLR) information, a channel observation, and the one or more predicted symbols; if alpha forward recursion has not yet completed, generating alpha forward recursion state metrics using a second non-linear model; if beta backward recursion has not yet completed, generating beta backward recursion state metrics using a third non-linear model; if sigma forward recursion has not yet completed, generating sigma forward recursion state metrics using the branch metrics, the alpha state metrics, and the beta backward recursion state metrics; generating extrinsic information comprising a difference of a posteriori LLR information and the a priori LLR information; computing and feeding back the a priori LLR information; and calculating the a posteriori LLR information.

An operation method of an apparatus for decrypting input data of N*X bits (where N and X are positive integers) encrypted by using a block-level encryption algorithm, includes: receiving the input data and decoding the input data into data of N*Y bits (where Y is a positive integer) whose number is different from a number of N*X bits; performing first decryption operation processing of the block-level encryption algorithm on the data of N*Y bits; encoding the data of N*Y bits on which the first decryption operation processing is performed into intermediate data of N*X bits; and performing a plurality of intermediate round operations of a preset number based on the intermediate data of N*X bits.

An error management system for a data storage device can generate soft-decision log-likelihood ratios (LLRs) using multiple reads of memory locations. 0-to-1 and 1-to-0 bit flip count data provided by multiple reads of reference memory locations can be used to generate probability data that is used to generate possible LLR values for decoding target pages. Possible LLR values are stored in one or more look-up tables.