摘要:
A three-dimensional semiconductor device includes a substrate including a cell array region and a contact region, a stack structure including gate electrodes sequentially stacked on the substrate, vertical structures penetrating the stack structure, and cell contact plugs connected to end portions of the gate electrodes in the contact region. Upper surfaces of the end portions of the gate electrodes have an acute angle with respect to an upper surface of the substrate in the cell array region.
摘要:
In a method of detecting an error pattern in a codeword transmitted across a noisy communication channel, a codeword is detected. A syndrome is then generated by applying a generator polynomial to the codeword. The generator polynomial is adapted to produce a distinct syndrome set for each of “L” (L>1) different error patterns potentially introduced in the codeword during transmission across the communication channel. A type of an error pattern within the codeword is detected based on the syndrome or a shifted version of the syndrome, and then a start position of the error pattern within the codeword.
摘要:
A method of constructing an effective generator polynomial for error correction by which a unique set of syndromes for each error event is produced is provided. The method includes preparing a set of dominant error events from the intersymbol interference characteristics of media; and generating a codeword from the data using a non-primitive generator polynomial that produces a unique syndrome set which can completely specify each dominant error event.
摘要:
A method and an apparatus for encoding and decoding a modulation code are provided. The method includes: adding an error detection bit(s) to source information; performing k-constraint coding by inserting an error pattern that can be detected using an error detection code into a data stream that violates a k-constraint for a run length limited (RLL) code in a data stream comprising the error detection bit(s) and the source information, and recording the data stream after being k-constraint coded onto a recording medium; and reading the data stream recorded onto the recording medium and determining whether an error is present in the data stream.
摘要:
Techniques are described for detecting error events in codewords detected from data signals transmitted via a communication system. The error events are detected with an error detection code that corresponds to one or more dominant error events for the communication system. The invention develops a class of error detection codes to detect specific error events of known types. In some embodiments, the communication system comprises a recording system. The error detection coding method may be used in conjunction with error correction processing to provide substantial performance gain compared to conventional parity-based post processing methods. For example, the error correction processing may include one or more correlation filters that correspond to the one or more dominant error events for the communication system. A correction module may correct the codeword based on a type of the detected error event and a location of the detected error event in the codeword.
摘要:
In an error correction method, a codeword is transmitted through a noisy communication channel and detected by a receiving device. An error detection code is then applied to the detected codeword to generate a syndrome. Where the syndrome is not all zero, the codeword is determined to contain some error. Accordingly, the method computes a set of potential error start positions for a plurality of error events based on a syndrome value corresponding to the syndrome. Next, a confidence value is computed for each of the plurality of error events at each of the potential error start positions in the refined set, and finally, a most likely error event in the detected codeword is corrected based on an error event and corresponding potential error start position having the highest confidence value.
摘要:
A method of detecting an occurrence of an error event in data and an apparatus for the same are provided. The method includes: preparing an error detection code wherein syndrome sequences for dominant error events are all different; generating a codeword from source data using the error detection code; detecting the occurrence of the dominant error event in the codeword by checking a syndrome computed from the codeword; and determining a type and likely error starting positions of the occurred dominant error event using the syndrome sequences correspond to the syndrome.
摘要:
Apparatuses and methods for detecting error events in a codeword reproduced by perpendicular magnetic recording medium (PMR. The method includes: generating cyclic redundancy check (CRC) parity bits based on a generator polynomial for a source information sequence to be recorded on PMR medium and recording a codeword in which the generated CRC parity bits are added to the source information sequence; and reading the recorded codeword and an error event in the read codeword. It is possible to detect error events when a codeword recorded by PMR is read, using a small number of bits.
摘要:
A method of constructing an effective generator polynomial for error correction by which a unique set of syndromes for each error event is produced is provided. The method includes preparing a set of dominant error events from the intersymbol interference characteristics of media; and generating a codeword from the data using a non-primitive generator polynomial that produces a unique syndrome set which can completely specify each dominant error event.
摘要:
A method and an apparatus for encoding and decoding a modulation code are provided. The method includes: adding an error detection bit(s) to source information; performing k-constraint coding by inserting an error pattern that can be detected using an error detection code into a data stream that violates a k-constraint for a run length limited (RLL) code in a data stream comprising the error detection bit(s) and the source information, and recording the data stream after being k-constraint coded onto a recording medium; and reading the data stream recorded onto the recording medium and determining whether an error is present in the data stream.