Design, decoding and optimized implementation of SECDED codes over GF(q)
| DWPI Title: Method for generating check matrix implementing linear code, involves selecting all of columns containing number of zeros that is less than or equal to number of zeros contained in any of remainder of columns |
| Abstract: A plurality of columns for a check matrix that implements a distance d linear error correcting code are populated by providing a set of vectors from which to populate the columns, and applying to the set of vectors a filter operation that reduces the set by eliminating therefrom all vectors that would, if used to populate the columns, prevent the check matrix from satisfying a column-wise linear independence requirement associated with check matrices of distance d linear codes. One of the vectors from the reduced set may then be selected to populate one of the columns. The filtering and selecting repeats iteratively until either all of the columns are populated or the number of currently unpopulated columns exceeds the number of vectors in the reduced set. Columns for the check matrix may be processed to reduce the amount of logic needed to implement the check matrix in circuit logic. |
| Use: Method for generating check matrix implementing linear code such as distance linear error correcting code in digital data storage system, used in data transfer/communication applications. |
| Advantage: Since the selected columns are respectively provided as column of a final check matrix that implements the code, the columns for the check matrix can be processed to reduce the amount of logic needed to implement the check matrix in circuit logic. Hence the improvements in performance, power consumption, and scalability of the digital data storage system can be achieved. |
| Novelty: The method involves generating a first check matrix that implements the code processing content in column of the first check matrix to increase a number of zeros contained in column. All of the columns containing a number of zeros that is less than or equal to a number of zeros contained in any of the remainder of columns, are selected respectively. The selected columns are respectively provided as column of a final check matrix that implements the code. |
| Filed: 9/17/2013 |
| Application Number: US14029379A |
| Tech ID: SD 11853.1 |
| This invention was made with Government support under Contract No. DE-NA0003525 awarded by the United States Department of Energy/National Nuclear Security Administration. The Government has certain rights in the invention. |
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