A syndrome calculation circuit includes a matrix product calculation circuit. The matrix product calculation circuit is configured to generate syndrome bits in a composite field by calculating a matrix product of input data bits and a first arithmetic matrix. The first arithmetic matrix is a matrix product of a basis conversion matrix for converting a data string from a Galois field to the composite field and a second arithmetic matrix, which is at least a part of a parity check matrix.

A system and method for detecting and correcting memory errors in CXL components is presented. The method includes receiving, into a decoder, a memory transfer block (MTB), wherein the MTB comprises data and parity information, wherein the MTB is arranged in a first dimension and a second dimension. An error checking and a correction function on the MTB is performed using a binary hamming code logic within the decoder in the first dimension. An error checking and a correction function on the MTB is performed using a non-binary hamming code logic within the decoder in the second dimension. Further, the binary hamming code logic and the non-binary hamming code logic perform the error checking on the MTB simultaneously.

Methods, systems, and devices for wireless communication are described for dynamic frozen bits of polar codes for early termination and performance improvement. A wireless device may receive a signal comprising a codeword encoded using a polar code. The wireless device may perform decoding of the codeword including at least: parity check of a first subset of decoding paths for making a decision on early termination of decoding of the codeword based on dynamic frozen bits, and generating path metrics for a second subset of the decoding paths that each pass the parity check based on the dynamic frozen bits, and performing error detection on a bit sequence corresponding to one of the second subset of the decoding paths based at part on error detection bits and the generated path metrics. The wireless device may process the information bits based on a result of the decoding.

The present disclosure relates to a network access node and a client device for content type indication. The network access node selects a subset of bits among a set of bits in a second data packet associated with the first data packet based on the content type for the first data packet. The network access node scrambles the selected subset of bits with a first scrambling sequence associated with an identity of the client device. The network access node transmits the first data packet and the second data packet to the client device (300). Upon reception of the first data packet and the second data packet, the client device descrambles the scrambled subset of bits in the second data packet using a first scrambling sequence associated with an identity of the client device to determine the content type for the first data packet.

Methods, systems, and devices for programmable metadata and related operations are described. A method may include receiving signaling that indicates a set of rules for transitions of states of metadata at a memory device storing the metadata. The memory device may receive a command from a host device associated with a set of data after receiving the set of rules. The memory device may transition metadata associated with the set of data stored at the memory device from a first state to a second state based in part on the set of rules and the command. The memory device may execute the command received from the host device.

Disclosed is a method and system for providing a minimal aliasing error correction code. In constructing a single error correction (SEC) code by constructing a parity check matrix H for a data length k applied to a device, as the SEC code is designed to be valid and minimize generation of aliasing by checking some bits rather than all bits when nonzero binary column matrices different from each other are arranged in the parity check matrix, destruction of information can be prevented, and reliability of a device applying the SEC, such as DRAM or the like, can be improved.

There is provided a method for generating a burst error correction code. The method comprises: setting a mother code; defining a syndrome set corresponding to each burst error pattern for at least two burst error patterns to be corrected based on the mother code; shortening a column of a PCM (parity check matrix) of the mother code so that the defined syndrome sets are relatively prime; and designing an error correction code for the each burst error pattern based on an optimal generator polynomial maximizing a length of the shortened code within a range of a length of a parity bit of the mother code or a syndrome vector included in the syndrome set that is relatively prime.

A method and a decoder for receiving a message encoded in Turbo Codes and modulated for transmission as an analog signal includes: (a) demodulating the analog signal to recover the Turbo Codes; and (b) decoding the Turbo Codes to recover the message using an iterative Turbo Code decoder, wherein the decoding includes performing an error detection after a predetermined number of iterations of the Turbo Code decoder to determine whether or not an error has occurred during the transmission. The predetermined number of iterations may be, for example, two. Depending on the result of the error detection, the decoding may stop, a request for retransmission of the message may be sent, or further iterations of decoding in the Turbo Code decoder may be carried out.

Aspects of the subject disclosure may include, for example, obtaining a received channel-encoded data block having information bits, a transmitted error-check value, and redundant code bits. The redundant code bits correspond to a channel code applied to the received channel-encoded data block prior to transmission via a communication channel. A channel code type is identified and responsive to it being systematic, the information bits and the transmitted error-check value are obtained without decoding according to the channel code. The received channel-encoded data block is checked according to the transmitted error-check value to obtain a result. Responsive to the result not indicating an error, extracting the information bits without decoding the received channel-encoded data block according to the channel code. Responsive to the result indicating an error, decoding the received channel-encoded data block according to the channel code to obtain decoded information bits. Other embodiments are disclosed.

The disclosure relates to a fifth generation (5G) or sixth generation (6G) communication system for supporting a higher data transmission rate. An encoding apparatus may obtain state-indicator information indicating a state of each of bits included in the polar code based on an index set of the bits, identify a weak-bit or a second weak-bit corresponding to a parity bit candidate position preset according to an interconnection within a parity-check (PC)-chain of the polar code and between PC-chains of the polar code as a parity bit, based on a number of weak-bits determined according to the state-indicator information and a number of bits to be used as parity bits, and obtain a polar code including the identified parity bit.