Abstract: Some embodiments include apparatus and methods to prevent at least one of misidentifying and ignoring multiple-bit errors if the multiple-bit errors include a plurality of erroneous data bits that belong to only one specific group of a plurality of groups of data bits and if none of the other groups of the plurality of groups have errors.

Abstract: A multiprotocol encapsulation forward error correction (MPE-FEC) frame comprising datagrams and FEC data is shown wherein an MPE encapsulator places datagrams in MPE sections and FEC data in MPE-FEC sections. A time slicing block forms a sequence of bursts and dividing the MPE-FEC frame between bursts, such that MPE sections are sent in at least two bursts. The time slicing block adds a burst number parameter to headers of the MPE and MPE-FEC sections to enable a terminal to determine whether to expect further bursts carrying data from the MPE-FEC frame.

Abstract: Unrecoverable electronic correction code (ECC) errors in memory storage devices are usually preceded by recoverable ECC errors. A memory storage device controller is provided notice of the recoverable errors and associated information. The memory storage device controller can cause the data having the recoverable information to be rewritten on the memory storage device. Rewriting the data on the memory storage device (often in a different location) normally reduces the probability of encountering data with unrecoverable data errors.

Abstract: Described is an apparatus for suppressing spurious spectral lines in a frame based bit-serial data stream, in which frames include payload data and frame markers. The apparatus includes means (16) for randomizing first frame marker elements (START) in a first position within each frame and means (18) for correlating second frame marker elements (STOP) in a second position within each frame with the randomized first frame marker element.

Abstract: A method of de-duplicating duplicate data in a data storage system that includes identifying a plurality of portions of data, comparing each portion of the data to identify duplicate data and identifying a link associated with each duplicate data, determining whether a Hamming link-separation-distance between the identified link and all other existing links is greater than twice the Hamming radius of an error correction code in the data storage system, and then replacing the duplicate data with the identified link.

Abstract: A semiconductor memory device includes a plurality of detecting code generators configured to generate a plurality of detecting codes to detect errors in a plurality of data items, respectively, a plurality of first correcting code generators configured to generate a plurality of first correcting codes to correct errors in a plurality of first data blocks, respectively, each of the first data blocks containing one of the data items and a corresponding detecting code, a second correcting code generators configured to generate a second correcting code to correct errors in a second data block, the second data block containing the first data blocks, and a semiconductor memory configured to nonvolatilely store the second data block, the first correcting codes, and the second correcting code.

Abstract: A method includes detecting that a first device in a memory array has degraded, the first device storing a portion of a data record, wherein the data record is encoded using a first error control technique. The method continues with recovering the data record using portions of the data record stored in devices other than the first device in the memory array and encoding the data record using a second error control technique. The method also includes storing the data record in the devices of the memory array other than the first device.

Abstract: A method includes receiving a detected sequence representing a signal on a channel. The detected sequence includes data bits and one or more error detection code bits. One or more error indications are received for the detected sequence. Each of the one or more error indications identifies one of the data bits of the detected sequence that may have an erroneous value. Errors are detected in the detected sequence based on the error detection code bits in the detected sequence. When errors are detected in the detected sequence, a candidate sequence is generated based on the detected sequence and the one or more error indications.

Abstract: If the number of bits at which 64-bit width data has changed at the same time has exceeded a threshold, the data is outputted, with the polarity of each bit inverted. Otherwise, the data is outputted. A 7-bit width error correcting code is given to the outputted data and the inversion instruction signal indicating whether the number of the changed bits has exceeded the threshold. Error code correction is performed for the data and the inversion instruction signal with the use of the transmitted error correcting code. If the inversion instruction signal for which the error code correction has been performed indicates that the number of the changed bits has exceeded the threshold, the data for which the error code correction has been performed is outputted, with the polarity of each bit inverted. Otherwise, the data for which the error code correction has been performed is outputted.

Abstract: According to one embodiment, an encoder/decoder apparatus includes an encoder module, a decoder module, and a transposing module. The encoder module is configured to generate a Hamming code from the input data, in accordance with a check matrix having a specific regularity. The decoder module is configured to detect an error position in the output data composed of the Hamming code, in accordance with the check matrix. The transposing module is configured to perform a transposing process of transposing some of the columns of the check matrix, while maintaining the regularity of the check matrix, and to change the error position in accordance with the transposing process, during the decoding process.

Abstract: A channel has a first and a second end. The first end of the channel is coupled to a transmitter. The channel is capable of transmitting symbols selected from a symbol set from the first end to the second end. The channel exhibits incomplete error introduction properties. A code comprises a set of code words. The elements of the set of code words are one or more code symbols long. The code symbols are members of the symbol set. The minimum modified Hamming separation between the elements of the set of code words in light of the error introduction properties of the channel is greater than the minimum Hamming distance between the elements of the set of code words. A memory device, a method of using the channel, and a method of generating the code are also described.

Abstract: The method is for hardening a computer based on off-the-shelf components so that it resists bombardment by particles of cosmic origin encountered at high altitude and near the poles. It relates more particularly to a computer comprising a processor/bridge pair, the bridge ensuring auxiliary functions for controlling the data exchanges between the processor and a random-access memory incorporating a Hamming-type error corrector code into the information exchanged and consists in inserting between the processor/bridge pair and the random-access memory an interface device carrying out a two-way transcoding between the Hamming-type error correction code incorporated into the information exchanged by the auxiliary functions for controlling the data exchanges of the processor/bridge pair and a Reed-Solomon-type error correction code adapted to the architecture of the random-access memory.

Abstract: Systems and methods are disclosed herein for improving the sensitivity of satellite data decode in a satellite navigation receiver. The low signal ephemeris data decoding system of the present disclosure achieves a 5 db improvement in decoding sensitivity over conventional system by operating down to a CN0 of 21 dB-Hz. The improved sensitivity is achieved through a combination of reducing the number of data bits to be decoded, overcoming the inherent differential decoding problem of an all data bit polarity inversion, improving the probability of seeing single bit decoding error in an ephemeris word, running the parity correction algorithm, and reducing the undetected word error rate. The improved sensitivity makes it possible to predict the orbit of the satellite and to determine the receiver's location with higher accuracy even when operating in challenging signal conditions.

Abstract: A semiconductor memory device includes a memory cell array and an error correction code (ECC) engine. The memory cell array stores bits of normal data and parity data therein. The ECC engine performs a masking operation in a masking mode, the ECC engine calculating the parity data using the normal data. The normal data includes a first section that is to be updated and a second section that is to be saved by the masking operation.

Abstract: A method of generating a parity check matrix for iterative decoding of a linear block code includes: determining a set of parity check vectors for the linear block code; ordering according to Hamming weight non-zero parity check vectors of the set; selecting a criterion for generating the parity check matrix; and building the parity check matrix by incrementally selecting according to the criterion a parity check vector for each consecutive row of the parity check matrix, wherein the parity check vector is selected from the ordered non-zero parity check vectors remaining in the set.

Abstract: To derive a Hamming code to manage data errors a set of at least four parity bit positions is selected for parity bits which will protect a set of data bits (where each data bit has a data bit position in the data bit set). A syndrome is determined for each data bit position. This involves selecting a unique sub-set of at least three parity bit positions. The unique sub-set shares at least one parity bit position with at least one other unique sub-set of at least three parity bit positions. A parity bit value may then be calculated for each parity bit position based on the determined syndromes. The header of a packet may be provided with a word which defines the length of the packet and an error management code generated utilizing this word so that errors in the word may be detected and, possibly, corrected.

Abstract: Methods of data handling include receiving data having a previously-generated error correction code and generating one or more error correction codes for the data, with each error correction code corresponding to the data having one or more particular bits of the data in differing data states. Such methods further include comparing the generated one or more error correction codes to the previously-generated error correction code, and if a particular one of the generated one or more error correction codes matches the previously-generated error correction code, transmitting the data having its one or more particular bits in the data states corresponding to that particular one of the generated one or more error correction codes. Methods of data handling may further include prioritizing the error correction in response to at least locations of known bad or questionable bits of the data.

Abstract: An embodiment of a data write path includes encoder and write circuits. The encoder circuit is operable to code data so as to render detectable a write error that occurs during a writing of the coded data to a storage medium, and the write circuit is operable to write the coded data to the storage medium. For example, such an embodiment may allow rendering detectable a write error that occurs while writing data to a bit-patterned storage medium.

Abstract: One embodiment of the present invention provides a demultiplexer implemented as a nanowire crossbar or a hybrid nanowire/microscale-signal-line crossbar with resistor-like nanowire junctions. The demultiplexer of one embodiment provides demultiplexing of signals input on k microscale address lines to 2k or fewer nanowires, employing supplemental, internal address lines to map 2k nanowire addresses to a larger, internal, n-bit address space, where n>k. A second demultiplexer embodiment of the present invention provides demultiplexing of signals input on n microscale address lines to 2k nanowires, with n>k, using 2k, well-distributed, n-bit external addresses to access the 2k nanowires.

Abstract: Various embodiments implement distributed block coding (DBC). DBC can be used for, among other things, distributed forward error correction (DFEC) of source data in communication systems or parity backup for error correction of source data in storage systems where the source data may be corrupted by burst errors. A distributed block encoder (DBE) encodes sequential source data symbols with a plurality of sequential block encoders to produce interleaved parity codewords. The interleaved parity codewords enable decoding of error-corrected source data symbols with a distributed block decoder (DBD) that utilizes a plurality of sequential block decoders to produce the error-corrected source data symbols. A distributed register block encoder (DRBE) and a distributed register block decoder (DRBD) can each be implemented in a single block encoder and a single block decoder, respectively, by using a distributed register arrangement.

Abstract: Erasure-encoded data is stored across a plurality of storage devices in a data storage system. The erasure-encoded data includes k data elements to store on k data storage devices and m parity elements to store on m parity storage devices, wherein for a given minimum Hamming distance d of the data storage system and m?(d?1), data elements are assigned only to corresponding unique combinations of parity elements of size (d?1).

Abstract: Method and system embodiments of the present invention are directed to encoding information in ways that are compatible with constraints associated with electrical-resistance-based memories and useful in other, similarly constrained applications, and to decoding the encoded information. One embodiment of the present invention encodes k information bits and writes the encoded k information bits to an electronic memory, the method comprising systematically encoding the k information bits to produce a vector codeword, with additional parity bits so that the codeword is resilient to bit-transition errors that may occur during storage of the codeword in, and retrieval of the codeword from, the electronic memory, ensuring that the codeword does not violate a weight constraint, and writing the codeword to the electronic memory.

Abstract: In bus communications methods and apparatus, a first set of physical signals representing the information to be conveyed over the bus is provided, and mapped to a codeword of a spherical code, wherein a codeword is representable as a vector of a plurality of components and the bus uses at least as many signal lines as components of the vector that are used, mapping the codeword to a second set of physical signals, wherein components of the second set of physical signals can have values from a set of component values having at least three distinct values for at least one component, and providing the second set of physical signals for transmission over the data bus in a physical form.

Abstract: Architecture that implements error correcting pointers (ECPs) with a memory row, which point to the address of failed memory cells, each of which is paired with a replacement cell to be substituted for the failed cell. If two error correcting pointers in the array point to the same cell, a precedence rule dictates the array entry with the higher index (the entry created later) takes precedence. To count the number of error correcting pointers in use, a null pointer address can be employed to indicate that a pointer is inactive, an activation bit can be added, and/or a counter, that represents the number of error correcting pointers that are active. Mechanisms are provided for wear-leveling within the error correction structure, or for pairing this scheme with single-error correcting bits for instances where transient failures may occur. The architecture also employs pointers to correct errors in volatile and non-volatile memories.

Abstract: A semiconductor memory device includes a plurality of detecting code generators configured to generate a plurality of detecting codes to detect errors in a plurality of data items, respectively, a plurality of first correcting code generators configured to generate a plurality of first correcting codes to correct errors in a plurality of first data blocks, respectively, each of the first data blocks containing one of the data items and a corresponding detecting code, a second correcting code generators configured to generate a second correcting code to correct errors in a second data block, the second data block containing the first data blocks, and a semiconductor memory configured to nonvolatilely store the second data block, the first correcting codes, and the second correcting code.

Abstract: An error correction encoding device is provided that combines redundancy data with source data, said device including: at least three encoding stages and at least two permutation stages. Each encoding stage implements at least one set of three basic encoding modules, in which a first encoding stage receives said source data and a last encoding stage provides said redundancy data. Each encoding module implements a basic code and includes c inputs and c outputs, c being an integer. The permutation stages are inserted between two consecutive encoding stages and each permutation stage implements a c-cyclic permutation.

Abstract: A control system includes an error calculation module that receives a data bit pattern having a predetermined quantity of data bits and that calculates a binary vector based on a predetermined binary matrix and the data bit pattern. The error calculation module further determines the data bit pattern contains a corrupted data bit when the binary vector is not a predetermined value. The control system further includes a bit position module that receives the binary vector, that locates the corrupted data bit based on the binary vector and that corrects the data bit pattern. The bit position module receives the data bit pattern when the binary number is the predetermined value. The data bits are pre-assigned a base-10 value that corresponds to a data bit position.

Abstract: A method of embedding the edit distance metric into the Hamming distance metric with low distortion. In other words, two input character strings are mapped to two corresponding output bit strings such that the Hamming distance between the output strings is approximately proportional to the edit distance between the two corresponding input strings.

Abstract: The present invention is directed to an archival data storage system. The archival data storage system includes write once and read many (WORM) capability, data redundancy, error correction, and access control. The combination of these capabilities enable the archival storage system to be secure, error proof, and reliable. Additionally, to provide fast data access time, solid state storage devices are used in place of conventional tape drive. Solid state storage devices such as, for example, flash memory devices are fast, versatile and reliable.

Abstract: Methods and apparatus for creating codewords of n-valued symbols with one or more n-valued check symbols are disclosed. Associating the codewords with a matrix allows for detection of one or more symbols in error and the location of such symbols in error. Methods to reconstruct symbols in error from other symbols not in error are also disclosed. Systems for using the methods of error detection and error correction by symbol reconstruction are also disclosed. Using two or more matrices to determine check symbols is also provided.

Abstract: Systems and methods for processing and decoding TCM/BCM-coded signal vectors. A multi-dimensional signal vector is received by, for example, a TCM or BCM decoder. The TCM/BCM decoder identifies the closest signal points in the signal constellation set, or “nearest neighbors,” for each dimension of the received signal vector. The TCM/BCM decoder then forms a test set that includes a plurality of multi-dimensional test vectors, where each dimension of each test vector is based on an identified nearest neighbor. In particular, each test point in the test set is based on a different combination of the nearest neighbors. The TCM/BCM decoder can compute branch metrics based on only the test points in the test set, and can make detection decisions using the computed branch metrics.

Abstract: A data dependent scrambler for a communications channel that receives a user data sequence including N symbols and host cyclic redundancy check (CRCU) bits comprises a data buffer that receives the user data sequence and the host CRCU bits. A seed finder generates a scrambling seed that is dependent upon the symbols in the user data sequence. A first scrambler receives the user data sequence from the data buffer and the scrambling seed from the seed finder and generates the scrambled user data sequence. A second scrambler generates a difference sequence that is based on the user data sequence and the scrambled user data sequence.

Abstract: Systems and methods correct multiplied errors generated by feedback taps in self-synchronous descramblers. The multiplication of errors degrades the performance of most linear cyclic error check codes. Disclosed techniques are general applicable to multiplied errors even when those errors are not confined to a single block. Disclosed techniques permit a reduction in the amount of forward error correction used. For example, in general, to correct t errors, a linear cyclic error correction code requires a Hamming distance of at least 1+(2t)[wt(s(x))]. Embodiments of the invention allow correcting the multiplied errors with a Hamming distance of only 1+(t)(1+wt(s(x))) over the block size n, wherein wt(s(x)) is the weight of the scrambler polynomial s(x).

Abstract: Positions holding different bit values between a first code word, which is obtained by coding an information bit sequence based on a coding method utilizing quasi-cyclic codes, and a second code word, which has the close Hamming distance from the first code word and satisfies a parity check of the coding method, are identified. Thereafter, a code word is generated by inserting bit values known to the transmitter and receiver into the identified positions of the information bit sequence and coding the information bit sequence. Upon reception of a signal based on the generated code word, the receiver judges whether known bit values held by corresponding positions in a code word obtained by decoding the received signal are the same as preset bit values. If the judgment result is negative, the code word based on the received signal is judges as erroneous even when it satisfies the parity check.

Abstract: A system and method for setting analog circuit parameters requires providing a first set of data bits which represent the parameters to be set, deriving a first set of error correction bits from the values of the data bits in accordance with a predefined algorithm which enables the detection of at least one data bit error, receiving the data bits and error correction bits, deriving a second set of error correction bits from the values of the received bits in accordance with the predefined algorithm, comparing the first and second sets of error correction bits to detect the presence of data bit errors in the received data bits, correcting the data bit errors in the received data bits, and providing the corrected received data bits to the at least one analog circuit.

Abstract: A circuit and technique for reducing parity bit-widths for check bit and syndrome generation is implemented through the use of additional check bits to increase the number of minimum weighted codes in the Hamming Code H-Matrix. The circuit and technique of the present invention may be implemented while adding no additional correction/detection capability, in order to reduce the number of data bits that are used for each check bit/syndrome generation and to reduce the width of the parity generating circuitry.

Abstract: Digital signals are transmitted on a bus at given instants selectively in a non-encoded format and an encoded format. The decision whether to transmit the signals in non-encoded format or in encoded format is taken in part, based on a comparison of the signal to be transmitted on the bus for an instant of the aforesaid given instants with the signal transmitter on the bus for the preceding instant, so as to minimize switching activity on the bus.

Abstract: A receiver system, which generates a soft decision signal from a hard decision signal, includes a hard output receiver for determining a received bit to generate a hard decision signal. A hard input soft output receiver determines an estimated probability of symbol data corresponding to the received bit based on the hard decision signal and generates a soft decision signal represented by a log-likelihood ratio from the estimated probability.

Abstract: In one embodiment, the present invention includes a method for generating a hybrid error correction code for a data block. The hybrid code, which may be a residual arithmetic-Hamming code, includes a first residue code based on the data block and a first parity code based on the data block and a Hamming matrix. Then the generated code along with the data block can be communicated through at least a portion of a datapath of a processor. Other embodiments are described and claimed.

Abstract: There is a provided a semiconductor device having a high security whose power consumption is difficult to analyze even without setting up random characteristic to the processing time. The semiconductor device includes a target circuit (14), a sub-target circuit (15) having the same circuit configuration as the target circuit (14), and a dummy bit string generation circuit (11) for generating a bit string of a dummy serial input signal to be inputted to the sub-target circuit (15) according to the bit string of the serial input signal of the target circuit (14).

Abstract: Methods and apparatus for recovering source data from noisy encoded signals apply population-based probabilistic learning algorithms. Non-converging data elements may be resolved by selective local searches. Initial populations are constructed from the data contents of the message bit positions of the received sequence, which resulted from encoding by a systematic code and channel distortion and noise.

Abstract: The invention relates to a method for transmitting a data block (104) via a message channel (130), said method having the following steps of: -subdividing the data block into at least one first sub-block (108) and one second sub-block (110), -generating first check data (114) for the first sub-block (108) and second check data (116) for the second sub-block (110), wherein a first transmission sub-block (118) is formed by the first sub-block and the first check data, and wherein a second transmission sub-block (120) is formed by the second sub-block and the second check data, -transmitting the first and second transmission sub-blocks in a transmission block (124) via the message channel, wherein the order of the bits to be transmitted in the transmission block is determined by a predefined scheme, wherein the scheme is designed in such a manner that one or more bits of the first transmission sub-block and one or more bits of the second transmission sub-block alternately follow one another.

Abstract: Various embodiments implement distributed block coding (DBC). DBC can be used for, among other things, distributed forward error correction (DFEC) of source data in communication systems or parity backup for error correction of source data in storage systems where the source data may be corrupted by burst errors. A distributed block encoder (DBE) encodes sequential source data symbols with a plurality of sequential block encoders to produce interleaved parity codewords. The interleaved parity codewords enable decoding of error-corrected source data symbols with a distributed block decoder (DBD) that utilizes a plurality of sequential block decoders to produce the error-corrected source data symbols. A distributed register block encoder (DRBE) and a distributed register block decoder (DRBD) can each be implemented in a single block encoder and a single block decoder, respectively, by using a distributed register arrangement.

Abstract: A nonvolatile memory device comprises a memory cell array configured to store one or more bits per memory cell, a read and write circuit configured to access the memory cell array, a control logic component configured to control the read and write circuit to sequentially execute read operations of a selected memory cell at least twice to output a read data symbol, and an error correcting unit configured to correct an error in the read data symbol based on a pattern of the read data symbol to output an error-corrected symbol.

Abstract: An optical device transmits ECC codewords using an interleaved technique in which a single ECC codeword is transmitted over multiple optical links. In one particular implementation, the device may include an ECC circuit configured to supply ECC codewords in series, the codewords being generated by the ECC circuit based on input data and each of the codewords including error correction information and a portion of the data. The device may further include a serial-to-parallel circuit configured to receive each of the codewords in succession, and supply data units in parallel, each of the data units including information from a corresponding one of the codewords; an interleaver circuit to receive the data units in parallel and output a second data units in parallel, each of the second data units including bits from different ones of the data units; and a number of output lines, each of which supplying a corresponding one of the second data units.

Abstract: An efuse device for recording input data according to address data comprises a first check-bit generator, a programming unit, and an efuse array. The first check-bit generator receives the input data and generates first check-bit data according to the input data by a predetermined error correction code. The programming unit generates blowing signals according to the input data and the first check-bit data. The efuse array receives the blowing signals and the address data. The input data and the first check-bit data are recorded in the efuse array according to the blowing signals and the address data.

Abstract: Systems and methods correct multiplied errors generated by feedback taps in self-synchronous descramblers. The multiplication of errors degrades the performance of most linear cyclic error check codes. Disclosed techniques are general applicable to multiplied errors even when those errors are not confined to a single block. Disclosed techniques permit a reduction in the amount of forward error correction used. For example, in general, to correct t errors, a linear cyclic error correction code requires a Hamming distance of at least 1+(2t)[wt(s(x))]. Embodiments of the invention allow correcting the multiplied errors with a Hamming distance of only 1+(t)(1+wt(s(x))) over the block size n, wherein wt(s(x)) is the weight of the scrambler polynomial s(x).

Abstract: Techniques for cloud data backup are disclosed. Example methods may store backup data from a client computer on portions of data storage media associated with peer computers. In some example embodiments, a file may be encoded into segments using an error-tolerant encoding scheme, and the segments may be stored on peer computers. In some example embodiments, individual segments may be stored on more than one peer machine and/or an individual peer machine may not receive all of the segments associated with the file.

Abstract: The present invention discloses devices and methods for improving data correlation using a multiple-correlation state-machine, the method including the steps of: (a) pre-processing a data frame having a plurality of symbol sets, wherein each symbol set demarks a respective frame field of the frame, to provide a threshold-compared hamming-distance indicator; (b) comparing the threshold-compared hamming-distance indicator with at least one multiple-correlation threshold to provide a threshold-compared multiple-correlation indicator; and (c) combining the threshold-compared hamming-distance indicator and the threshold-compared multiple-correlation indicator to determine a match/no-match comparison indicative of the respective frame field. In some embodiments, the step of combining includes forming a logical-AND of the threshold-compared hamming-distance indicator and the threshold-compared multiple-correlation indicator.

Abstract: A method of encoding data for transmission from a source to a destination over a communications channel is provided. A plurality of redundant symbols are generated from an ordered set of input symbols to be transmitted. A plurality of output symbols are generated from a combined set of symbols including the input symbols and the redundant symbols, wherein the number of possible output symbols is much larger than the number of symbols in the combined set of symbols, wherein at least one output symbol is generated from more than one symbol in the combined set of symbols and from less than all of the symbols in the combined set of symbols, and such that the ordered set of input symbols can be regenerated to a desired degree of accuracy from any predetermined number, N, of the output symbols.