An apparatus is provided which comprises at least one processor, at least one memory including computer program code, and the at least one processor, with the at least one memory and the computer program code, being arranged to cause the apparatus to at least perform generating a code block including information bits and parity bits, the parity bits being generated by performing a cyclic redundancy check on the information bits, determining the number of parity bits used in generating the code block based on an applied linear error correcting code base graph and/or based on the number of the information bits, and encoding the code block by using the applied linear error correcting code base graph.

It is possible to know a guideline for adjusting the levels of three voltage thresholds of a PAM4 signal. An error detection device receives a measurement pattern including a pseudo random pattern having equal appearance frequencies of four levels, decodes the measurement pattern into a most significant bit sequence signal MSB and a least significant bit sequence signal LSB, based on three voltage thresholds Vth1, Vth2, and Vth3, identifies and counts, by a level counting unit, the four levels of the measurement pattern, based on the most significant bit sequence signal MSB and the least significant bit sequence signal LSB, and displays numerical values or bar graphs indicating ratios of the appearance frequencies of the four levels of the measurement pattern so as to be in the same order as waveform levels of the measurement pattern, based on a result of the counting.

It is possible to know a guideline for adjusting the levels of three voltage thresholds of a PAM4 signal. An error detection device receives a measurement pattern including a pseudo random pattern having equal appearance frequencies of four levels, decodes the measurement pattern into a most significant bit sequence signal MSB and a least significant bit sequence signal LSB, based on three voltage thresholds Vth1, Vth2, and Vth3, identifies and counts, by a level counting unit, the four levels of the measurement pattern, based on the most significant bit sequence signal MSB and the least significant bit sequence signal LSB, and displays numerical values or bar graphs indicating ratios of the appearance frequencies of the four levels of the measurement pattern so as to be in the same order as waveform levels of the measurement pattern, based on a result of the counting.

A transmitting apparatus is disclosed. The transmitting apparatus includes an encoder to perform channel encoding with respect to bits and generate a codeword, an interleaver to interleave the codeword, and a modulator to map the interleaved codeword onto a non-uniform constellation according to a modulation scheme, and the constellation may include constellation points defined based on various tables according to the modulation scheme.

A decoding method, a memory controlling circuit unit and a memory storage device are provided. The decoding method includes: performing a first type decoding operation for a first frame including a first codeword to obtain a second codeword. The method also includes: recording error estimate information corresponding to the first frame according to an execution result of the first type decoding operation. The method further includes: updating the first codeword in the first frame to the second codeword if the error estimate information matches a first condition; and performing a second type decoding operation for a block code including the first frame.

A bit interleaving method involves applying a bit permutation process to a QC LDPC codeword made up of N cyclic blocks each including Q bits, and dividing the codeword, after the bit permutation process, into a plurality of constellation words each imade up of M bits, the codeword being divided into N/M sections, each constellation word being associated with one of the N/M sections, and the bit permutation process being performed such that each of the constellation words includes one bit from each of M different cyclic blocks associated with a given section.

A communication device that applies an error in an upper layer in addition to error correction in a physical layer is provided. The communication device includes an acquisition unit that acquires control information regarding forward error correction (FEC) of an upper layer and control information regarding FEC of a lower layer, an encoding-decoding unit that performs error correction encoding or decoding of an information sequence in the upper layer according to control information regarding the FEC of the upper layer, and a puncturing processing unit that performs puncturing or depuncturing in the upper layer. The information sequence after FEC encoding of the upper layer is divided into blocks, and puncturing and interleaving are performed in units of blocks.

A decoding method, a memory storage device, and a memory control circuit unit are provided. The decoding method includes: reading a codeword from a memory module and estimating error level information of the codeword; inputting the codeword and the error level information to an error checking and correcting circuit through a first message channel and a second message channel respectively; determining whether the error level information meets a default condition; if yes, inputting the codeword to a first decoding engine of the error checking and correcting circuit for decoding; otherwise, inputting the codeword to a second decoding engine of the error checking and correcting circuit for decoding, wherein a power consumption of the first decoding engine is lower than that of the second decoding engine, and a decoding success rate of the first decoding engine is lower than that of the second decoding engine. Therefore, an operating flexibility for decoding may be improved.

A coding and modulation apparatus and method are presented. The apparatus (10) comprises an encoder (11) that encodes input data into cell words, and a modulator (12) that modulates said cell words into constellation values of a non-uniform constellation. The modulator (12) is configured to use, based on the total number M of constellation points of the constellation, the signal-to-noise ratio SNR in dB and the channel characteristics, a non-uniform constellation from a group of constellations comprising one or more of predetermined constellations defined by the constellation position vector u1 . . . v, wherein v=sqrt(M)/2−1.

A method and apparatus for determining the sector size and concomitant host metadata size to determine the difference between total size of the data block to be stored, and using the difference for parity data. This allows an increase in parity bits available for smaller sector sizes and/or data with smaller host metadata sizes. Because the amount of space available for additional parity bits is known, data with lower numbers of parity bits may be assigned to higher quality portions a memory array written with longer programming trim times, and/or written to memory dies with good redundant columns, further increasing performance and reliability.