Abstract: A memory controller determines the number of pieces of correction information of an a-th correction information for each of M component codes according to a value based on the number of component codes, and determines a correction information address which is an address on a correction information memory of the a-th correction information based on the number of pieces of correction information.

Abstract: According to one embodiment, a memory system includes a non-volatile memory, a memory interface that reads data recorded in the non-volatile memory as a received value, a converting unit that converts the received value to first likelihood information by using a first conversion table, a decoder that decodes the first likelihood information, a control unit that outputs an estimated value with respect to the received value, which is a decoding result obtained by the decoding, when decoding by the decoder has succeeded, and a generating unit that generates a second conversion table based on a decoding result obtained by the decoding, when decoding of the first likelihood information by the decoder has failed. When the generating unit generates the second conversion table, the converting unit converts the received value to the second likelihood information by using the second conversion table, and the decoder decodes the second likelihood information.

Abstract: A memory controller determines the number of pieces of correction information of an a-th correction information for each of M component codes according to a value based on the number of component codes, and determines a correction information address which is an address on a correction information memory of the a-th correction information based on the number of pieces of correction information.

Abstract: A memory system includes an encoder and a decoder. The encoder is configured to generate multi-dimensionally-coded data to be written into the non-volatile memory. Data bits of the multi-dimensionally-coded data are grouped into first and second dimensional codes with respect to first and second dimensions, respectively. The decoder is configured to, with respect to each of the first and second dimensional codes included in read multi-dimensionally-coded data, generate a syndrome value of the dimensional code, generate low-reliability location information, generate a soft-input value based on the syndrome value and the low-reliability location information, decode the dimensional code through correction of the dimensional code using the soft-input value, and store modification information indicating a bit of the dimensional code corrected through the correction and reliability information indicating reliability of the correction.

Abstract: A memory system of an embodiment includes a non-volatile memory and a memory controller. The memory controller executes a first decoding process of reading data encoded by an error correction code from the non-volatile memory and repeatedly executing bounded distance decoding on a symbol group protected by each of component codes included in N component code groups; executes a second decoding process of repeatedly executing decoding exceeding a bounded distance in units of component codes for an error symbol group determined to include an error due to a syndrome of a component code included in the N component code groups when the first decoding process fails; executes a rollback process when the first decoding process executed after the second decoding process fails; and changes a parameter used in the second decoding process and further executes the second decoding process when it is detected that the second decoding process is not progressed.

Abstract: A memory system includes an encoder and a decoder. The encoder is configured to generate multi-dimensionally-coded data to be written into the non-volatile memory. Data bits of the multi-dimensionally-coded data are grouped into first and second dimensional codes with respect to first and second dimensions, respectively. The decoder is configured to, with respect to each of the first and second dimensional codes included in read multi-dimensionally-coded data, generate a syndrome value of the dimensional code, generate low-reliability location information, generate a soft-input value based on the syndrome value and the low-reliability location information, decode the dimensional code through correction of the dimensional code using the soft-input value, and store modification information indicating a bit of the dimensional code corrected through the correction and reliability information indicating reliability of the correction.

Abstract: A memory system of an embodiment includes a non-volatile memory and a memory controller. The memory controller executes a first decoding process of reading data encoded by an error correction code from the non-volatile memory and repeatedly executing bounded distance decoding on a symbol group protected by each of component codes included in N component code groups; executes a second decoding process of repeatedly executing decoding exceeding a bounded distance in units of component codes for an error symbol group determined to include an error due to a syndrome of a component code included in the N component code groups when the first decoding process fails; executes a rollback process when the first decoding process executed after the second decoding process fails; and changes a parameter used in the second decoding process and further executes the second decoding process when it is detected that the second decoding process is not progressed.

Abstract: A memory system includes a nonvolatile memory and a memory controller. The nonvolatile memory stores a multidimensional error correction code in which each of a plurality of symbol groups is encoded by both a first component code and a second component code. The memory controller reads the error correction code from the nonvolatile memory, executes a first decoding process using the first component code and the second component code, and when the first decoding process fails, executes a second decoding process on an error symbol group. The second decoding process includes a process of selecting the positions of a plurality of symbols whose values included in the error symbol group are to be inverted according to a decision rule. The decision rule includes a rule for cyclically shifting a position selected for the second decoding process at to decide the position for the second decoding process at the next time.

Abstract: According to one embodiment, a memory system includes a non-volatile memory, a memory interface that reads data recorded in the non-volatile memory as a received value, a converting unit that converts the received value to first likelihood information by using a first conversion table, a decoder that decodes the first likelihood information, a control unit that outputs an estimated value with respect to the received value, which is a decoding result obtained by the decoding, when decoding by the decoder has succeeded, and a generating unit that generates a second conversion table based on a decoding result obtained by the decoding, when decoding of the first likelihood information by the decoder has failed. When the generating unit generates the second conversion table, the converting unit converts the received value to the second likelihood information by using the second conversion table, and the decoder decodes the second likelihood information.

Abstract: According to one embodiment, a memory system includes a nonvolatile memory, and a memory controller. Each of first storage regions of each of the nonvolatile memory includes a plurality of second storage regions. Each of pieces of first data includes pieces of second data as storage target data. Third data includes pieces of the second data that are selected one by one from each of the pieces of first data. The memory controller executes first decoding of decoding each of the pieces of first data on the basis of a first error correcting code generated by using the first data, and executes second decoding of decoding the third data including a bit of which reliability, which relates to each bit in each of the second storage regions that fail in the first decoding, is less than reliability of other bits on the basis of a second error correcting code.

Abstract: According to one embodiment, a memory system includes a non-volatile memory, a memory interface that reads data recorded in the non-volatile memory as a received value, a converting unit that converts the received value to first likelihood information by using a first conversion table, a decoder that decodes the first likelihood information, a control unit that outputs an estimated value with respect to the received value, which is a decoding result obtained by the decoding, when decoding by the decoder has succeeded, and a generating unit that generates a second conversion table based on a decoding result obtained by the decoding, when decoding of the first likelihood information by the decoder has failed. When the generating unit generates the second conversion table, the converting unit converts the received value to the second likelihood information by using the second conversion table, and the decoder decodes the second likelihood information.

Abstract: A memory system includes a nonvolatile memory and a memory controller. The nonvolatile memory has data encoded with an error correction code stored therein. The memory controller reads data from the nonvolatile memory, calculates likelihood information from the read data and an LLR table for calculating the likelihood information, determines a parameter for a decoding process of the read data based on the likelihood information, executes the decoding process based on the determined parameter, and outputs a decoding result obtained by the decoding process.

Abstract: A memory system includes a nonvolatile memory and a memory controller. The nonvolatile memory stores a multidimensional error correction code in which each of a plurality of symbol groups is encoded by both a first component code and a second component code. The memory controller reads the error correction code from the nonvolatile memory, executes a first decoding process using the first component code and the second component code, and when the first decoding process fails, executes a second decoding process on an error symbol group. The second decoding process includes a process of selecting the positions of a plurality of symbols whose values included in the error symbol group are to be inverted according to a decision rule. The decision rule includes a rule for cyclically shifting a position selected for the second decoding process at to decide the position for the second decoding process at the next time.

Abstract: A memory system includes a nonvolatile memory and a memory controller. The nonvolatile memory has data encoded with an error correction code stored therein. The memory controller reads data from the nonvolatile memory, calculates likelihood information from the read data and an LLR table for calculating the likelihood information, determines a parameter for a decoding process of the read data based on the likelihood information, executes the decoding process based on the determined parameter, and outputs a decoding result obtained by the decoding process.

Abstract: According to one embodiment, a memory system includes a non-volatile memory, a memory interface that reads data recorded in the non-volatile memory as a received value, a converting unit that converts the received value to first likelihood information by using a first conversion table, a decoder that decodes the first likelihood information, a control unit that outputs an estimated value with respect to the received value, which is a decoding result obtained by the decoding, when decoding by the decoder has succeeded, and a generating unit that generates a second conversion table based on a decoding result obtained by the decoding, when decoding of the first likelihood information by the decoder has failed. When the generating unit generates the second conversion table, the converting unit converts the received value to the second likelihood information by using the second conversion table, and the decoder decodes the second likelihood information.

Abstract: According to one embodiment, a memory system includes a nonvolatile memory, and a memory controller. Each of first storage regions of each of the nonvolatile memory includes a plurality of second storage regions. Each of pieces of first data includes pieces of second data as storage target data. Third data includes pieces of the second data that are selected one by one from each of the pieces of first data. The memory controller executes first decoding of decoding each of the pieces of first data on the basis of a first error correcting code generated by using the first data, and executes second decoding of decoding the third data including a bit of which reliability, which relates to each bit in each of the second storage regions that fail in the first decoding, is less than reliability of other bits on the basis of a second error correcting code.

Abstract: A memory system includes a nonvolatile memory and a memory controller configured to perform reading of a concatenation code from the nonvolatile memory in response to an external command, the memory controller including a decoder circuit which decodes a reception word in the concatenation code. The decoder circuit includes a first external code decoder that performs decoding on an external code portion, an internal code in-error bit estimation unit that performs estimation of an in-error bit on a bit sequence from the first external code decoder, based on a rule for an internal code in the concatenation code, and outputs a set of in-error bits that is obtained by the estimation, and a second external code decoder that performs decoding which uses the set of in-error bits that is output from the internal code in-error bit estimation unit, on the bit sequence from the first external code decoder.

Abstract: According to one embodiment, a memory system comprises an encoder that encodes by a graph code and a data holding unit that holds data to be used in encoding. A check matrix of the graph code includes first to sixth submatrices, and the encoder produces a first vector obtained by multiplying an information word and the first submatrix, produces a second vector obtained by multiplying the information word and the third submatrix, produces a third vector obtained by multiplying the first vector and the fifth submatrix inverted in sign, produces a fourth vector obtained by adding the third vector and the second vector, produces a first parity obtained by multiplying the fourth vector and the data, produces a fifth vector obtained by multiplying the first parity and the second submatrix inverted in sign, and produces a second parity obtained by adding the fifth vector and the first vector.

Abstract: According to one embodiment, a memory system comprises an encoder that encodes by a graph code and a data holding unit that holds data to be used in encoding. A check matrix of the graph code includes first to sixth submatrices, and the encoder produces a first vector obtained by multiplying an information word and the first submatrix, produces a second vector obtained by multiplying the information word and the third submatrix, produces a third vector obtained by multiplying the first vector and the fifth submatrix inverted in sign, produces a fourth vector obtained by adding the third vector and the second vector, produces a first parity obtained by multiplying the fourth vector and the data, produces a fifth vector obtained by multiplying the first parity and the second submatrix inverted in sign, and produces a second parity obtained by adding the fifth vector and the first vector.

Abstract: A memory system includes a nonvolatile memory and a memory controller configured to perform reading of a concatenation code from the nonvolatile memory in response to an external command, the memory controller including a decoder circuit which decodes a reception word in the concatenation code. The decoder circuit includes a first external code decoder that performs decoding on an external code portion, an internal code in-error bit estimation unit that performs estimation of an in-error bit on a bit sequence from the first external code decoder, based on a rule for an internal code in the concatenation code, and outputs a set of in-error bits that is obtained by the estimation, and a second external code decoder that performs decoding which uses the set of in-error bits that is output from the internal code in-error bit estimation unit, on the bit sequence from the first external code decoder.