Polynomial Codes Over Certain Finite Fields

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 SectionsAbout1 R. W. Hamming, Error detecting and error correcting codes, Bell System Tech. J. , 29 (1950), 147–160 MR0035935 CrossrefISIGoogle Scholar2 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 Scholar3 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 pᵐ SymbolsDaniel Gorenstein and Neal ZierlerJournal of the Society for Industrial and Applied Mathematics, Vol. 9, No. 2 | 10 July 2006AbstractPDF (691 KB) Volume 8, Issue 2| 1960Journal of the Society for Industrial and Applied Mathematics225-424 History Submitted: 21 January 1959Published online: 10 July 2006 InformationCopyright © 1960 Society for Industrial and Applied MathematicsPDF Download Article & Publication DataArticle DOI: 10. 1137/0108018Article page range: pp. 300-304ISSN (print): 0368-4245ISSN (online): 2168-3484Publisher: Society for Industrial and Applied Mathematics