Certain aspects of the present disclosure relate to techniques and apparatus for increasing decoding performance and/or reducing decoding complexity. An exemplary method generally includes receiving, via a wireless medium, a codeword encoded using a tailless convolutional code (TLCC) with a known start state, evaluating a set of decoding candidate paths through a trellis decoder that originate at the known start state of the TLCC, performing, for each of a plurality of the decoding candidate paths, a back trace from a respective end state to the known start state, and selecting one of the decoding candidate paths based, at least in part, on path metrics generated while performing the back trace. Other aspects, embodiments, and features are also claimed and described.

Certain aspects of the present disclosure relate to techniques and apparatus for improving decoding latency and performance of Polar codes. An exemplary method generally includes generating a codeword by encoding information bits, using a multi-dimensional interpretation of a polar code of length N, determining, based on one or more criteria, a plurality of locations within the codeword to insert error correction codes generating the error correction codes based on corresponding portions of the information bits, inserting the error correction codes at the determined plurality of locations, and transmitting the codeword. Other aspects, embodiments, and features are also claimed and described.

Methods and systems for analyzing data are disclosed. An example method can comprise receiving a first data signal, decoding the first data signal, determining a second data signal based on the decoded first data signal, and determining a modulation error ratio based on a difference between the first data signal and the second data signal.

The present disclosure includes apparatuses and methods for monitoring error correction operations performed in memory. A number of embodiments include a memory and circuitry configured to determine a quantity of erroneous data corrected during an error correction operation performed on soft data associated with a sensed data state of a number of memory cells of the memory, determine a quality of soft information associated with the erroneous data corrected during the error correction operation performed on the soft data, and determine whether to take a corrective action on the sensed data based on the quantity of the erroneous data corrected during the error correction operation and the quality of the soft information associated with the erroneous data corrected during the error correction operation.

A decoding apparatus includes a plurality-of-bits decoding part configured to receive an input vector obtained by adding a message encrypted by a trapdoor function and an error vector including an element(s) conforming with a discrete Gaussian distribution, and decode a plurality of bits from a lower bit of the message based on the input vector in correctness with a predetermined probability; and a confirmation calculation part configured to determine in parallel whether the decoded plurality of bits are correct or not, wherein the message is encrypted by taking an inner product with a vector including a power of two as an element(s).

A memory system includes a memory device and a controller. The memory device includes a plurality of non-volatile memory groups individually storing a plurality of data segments, each data segment corresponding to a codeword. The controller is configured to perform hard decision decoding to correct an error when the error is included in a first data segment among the plurality of data segments, determine whether other data segments associated with the first data segment, among the plurality of data segments, are readable when the hard decision decoding fails, and perform chipkill decoding based on the first data segment and the other data segments when the other data segments are readable.

An ECC circuit can operate in a plurality of error correction modes with different correcting capabilities for data stored in a memory. The ECC circuit calculates a syndrome with respect to information data in accordance with an error correction mode set by a control part and adds a syndrome of a fixed length in which dummy bits are added to the calculated syndrome, to the information data. When code data is read out, the ECC circuit performs a correction process on the code data by using the syndrome included in the code data.

A decoding circuit and a decoding method based on the Viterbi algorithm are provided. The decoding method includes the following steps: decoding an encoded data based on the Viterbi algorithm to generate a decoded data; performing error correction on the decoded data to obtain a data content of the encoded data; comparing the decoded data and the data content to generate bit correction information; using the encoded data to calculate multiple first branch metrics based on the Viterbi algorithm, the first branch metrics corresponding to a target bit of the data content; adjusting at least one of the first branch metrics based on the data content and the bit correction information to generate multiple second branch metrics; and selecting the first branch metrics or the second branch metrics based on the bit correction information.

Aspects include techniques for implementing a clock path technique for using on-chip circuitry to generate a correct encode pattern to test the on-chip circuitry for encoding and correction of a chip. A computer-implemented method may include initializing a scan of the chip including data and a set of check bits protecting the data; applying a global control bit to a latch on the chip; and applying an additional clock to the latch so the check bits are updated using the on-chip circuitry.

Methods and systems for decoding raw data may include determining a sequence of a plurality of read-level voltages based on previous decoding data and executing a multi-stage decoding operation to decode raw data read from the plurality of memory cells using the determined sequence of the plurality of read-level voltages. Decoded data is returned from the multi-stage decoding operation upon completion of the multi-stage decoding operation and the previous decoding data is updated based on results of the multi-stage decoding operation.