The method includes: reading a memory cell having a encoded information bit, so as to obtain an LLR value of a current memory cell with reference to a pre-established LLR table according to a storage time, a threshold voltage partition and a comprehensive distribution corresponding to the current memory cell during reading; and performing a soft decoding operation on a codeword in the memory cell having the encoded information bit according to the read LLR value of the current memory cell, wherein the comprehensive distribution of the current memory cell is determined according to an influence of a memory cell adjacent to the current memory cell on a distribution of the current memory cell; an input of the pre-established LLR table comprises a storage time, a threshold voltage partition and a comprehensive distribution, and an output of the pre-established LLR table comprises an LLR value.

In one embodiment, a method includes applying Forward Error Correction (FEC) to data at power sourcing equipment, transmitting the data and pulse power over a wire pair to a powered device, identifying data transmitted during power transitions between a pulse power on time and a pulse power off time in the pulse power at the powered device, and applying FEC decoding to at least a portion of the data based on said identified power transitions.

This disclosure describes techniques that include implementing network-efficient data durability or data reliability coding on a network. In one example, this disclosure describes a method that includes generating a plurality of data fragments from a set of data to enable reconstruction of the set of data from a subset of the plurality of data fragments; storing, across a plurality of nodes in a network, the plurality of data fragments, wherein storing the plurality of data fragments includes storing the first fragment at a first node and the second fragment at a second node; and generating, by the first node, a plurality of secondary fragments derived from the first fragment to enable reconstruction of the first fragment from a subset of the plurality of secondary fragments; and storing the plurality of secondary fragments from the first fragment across a plurality of storage devices included within the first node.

A data storage system includes multiple head nodes and multiple data storage sleds mounted in a rack. For a particular volume or volume partition one of the head nodes is designated as a primary head node for the volume or volume partition. The primary head node is configured to store data for the volume in a data storage of the primary head node and cause the data to be replicated to a secondary head node. The primary head node is also configured to cause the data for the volume to be stored in a plurality of respective mass storage devices each in different ones of the plurality of data storage sleds of the data storage system.

Example apparatus and methods control whether and when hybrid rateless Reed Solomon (RS) error correcting codes (ECC) for a message are produced, stored, and distributed. The control may be based on a property (e.g., reliability, error state, speed) of a message recipient. Example apparatus and methods may also control whether and when fountain codes for the message are produced, stored, and distributed. Once again, the control may be based on a property of a message or ECC recipient. Both the hybrid rateless RS ECC and the fountain codes may be produced from data stored in a modified RS matrix. The modified RS matrix may store row-centric error detection codes (EDC) instead of conventional cyclic redundancy check (CRC) characters. The modified RS matrix may store column-centric ECC that may be produced serially. Different types or numbers of ECC may be produced, stored, and provided for different messages stored at different recipients.

A stripe merging method and system based on erasure codes are provided. A StripeMerge-P algorithm is used first to determine alignment information of parity chunks of erasure code stripes based on a preprocessed hash table. Through a greedy strategy, erasure code stripe pairs to be merged are selected for merging. Through the hash table, location information of the parity chunks is directly looked up, so that no additional computing overhead is required, and the overhead of selecting and merging the erasure code stripe pairs is further reduced through the combination with the greedy strategy.

A storage system determines source addresses, and destination addresses in a storage system, for network traffic. The storage system determines a hash algorithm, from a plurality of hash algorithms. The hash algorithm is to be used across the source addresses for load-balancing the network traffic to the destination addresses. The storage system determines that the hash algorithm more closely meets one or more load-balancing criteria than at least one other hash algorithm, of the plurality of hash algorithms. The storage system distributes the network traffic from the source addresses to the destination addresses in the storage system, with load-balancing according to the determined hash algorithm.

A low-complexity selective mapping method using cyclic redundancy check is provided. In performing coding, a transmitter adds a check bit to information bits to be transmitted to obtain modulated data. Demodulation is performed on an M-order modulation symbol received by a receiver to obtain a decoding result of a coding polynomial of the modulation symbol and bit information received by the receiver. A modulo-2 division result of the decoding result of the coding polynomial and a generation polynomial is calculated. In a case that a remainder of the modulo-2 division result is equal to zero, if the modulated data corresponding to the same index value of the receiver and the transmitter are identical, a current iteration is stopped, and a current value is outputted as a phase rotation sequence index recovery value. Finally, the receiver obtains a decoded signal.

This disclosure describes techniques that include implementing network-efficient data durability or data reliability coding on a network. In one example, this disclosure describes a method that includes generating a plurality of data fragments from data to enable reconstruction of the data from a subset of the plurality of data fragments; storing, across a plurality of nodes in a network, the plurality of data fragments, wherein storing the plurality of data fragments includes storing the first fragment at a first node and the second fragment at a second node; and generating, by the first node, a plurality of secondary fragments derived from the first fragment to enable reconstruction of the first fragment from a subset of the plurality of secondary fragments; and storing the plurality of secondary fragments from the first fragment across a plurality of storage devices included within the first node.

A decoding apparatus includes an input power estimating circuit, an error correction decoder and a controller. The input power estimating circuit generates multiple estimated input powers for multiple sets of data included in a packet that needs to be corrected, and calculates respective power differences between the multiple estimated input powers and a reference power. The controller determines one or multiple candidate error positions according to one of the multiple power differences that is higher than a predetermined threshold. The error correction decoder performs a decoding process on the packet according to the one or multiple candidate error positions.