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Decoding and optimized implementation of SECDED codes over GF(q)

United States Patent

November 18, 2014
View the Complete Patent at the US Patent & Trademark Office
Sandia National Laboratories - Visit the Intellectual Property Management and Licensing Website
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.
Ward; H. Lee (Albuquerque, NM), Ganti; Anand (Albuquerque, NM), Resnick; David R. (Tucson, AZ)
Sandia Corporation (Albuquerque, NM), Micron Technology, Inc. (Boise, ID)
14/ 281,567
May 19, 2014
STATEMENT OF GOVERNMENT INTEREST This invention was developed under Contract DE-AC04-94AL85000 between Sandia Corporation and the U.S. Department of Energy. The U.S. Government has certain rights in this invention.