Polynomial Codes Over Certain Finite Fields
Abstract
Previous article Next article Polynomial Codes Over Certain Finite FieldsI. S. Reed and G. SolomonI. S. Reed and G. Solomonhttps://doi.org/10.1137/0108018PDFPDF PLUSBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] R. W. Hamming, Error detecting and error correcting codes, Bell System Tech. J., 29 (1950), 147–160 MR0035935 CrossrefISIGoogle Scholar[2] Irving S. Reed, A class of multiple-error-correcting codes and the decoding scheme, Trans. I.R.E., PGIT-4 (1954), 38–49, Prof. Group on Information Theory MR0089789 Google Scholar[3] Neal Zierler, Linear recurring sequences, J. Soc. Indust. Appl. Math., 7 (1959), 31–48 10.1137/0107003 MR0101979 0096.33804 LinkISIGoogle Scholar Previous article Next article FiguresRelatedReferencesCited ByDetails A General Family of MSRD Codes and PMDS Codes with Smaller Field Sizes from Extended Moore MatricesUmberto MartÍnez-Pen͂asSIAM Journal on Discrete Mathematics, Vol. 36, No. 3 | 16 August 2022AbstractPDF (562 KB)Algorithmic Fault Tolerance Using the Lanczos MethodSIAM Journal on Matrix Analysis and Applications, Vol. 13, No. 1 | 31 July 2006AbstractPDF (1962 KB)A New Class of Cyclic CodesSIAM Journal on Applied Mathematics, Vol. 16, No. 1 | 12 July 2006AbstractPDF (1580 KB)Multiple-Burst Error Correction with the Chinese Remainder TheoremJournal of the Society for Industrial and Applied Mathematics, Vol. 11, No. 1 | 13 July 2006AbstractPDF (758 KB)A Class of Error-Correcting Codes in $p^m $…
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