A Class of Error-Correcting Codes in $p^m $ Symbols

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Previous article Next article A Class of Error-Correcting Codes in $p^m $ SymbolsDaniel Gorenstein and Neal ZierlerDaniel Gorenstein and Neal Zierlerhttps://doi.org/10.1137/0109020PDFPDF PLUSBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] G. Birkhoff and , S. Maclane, A Survey of Modern Algebra, Macmillan, New York, 1944 Google Scholar[2] N. Macon and , A. Spitzbart, Inverses of Vandermonde matrices, Amer. Math. Monthly, 65 (1958), 95–100 MR0103357 0081.01503 CrossrefGoogle Scholar[3] I. S. Reed and , G. Solomon, Polynomial codes over certain finite fields, J. Soc. Indust. Appl. Math., 8 (1960), 300–304 10.1137/0108018 MR0127464 0099.34403 LinkISIGoogle Scholar[4] David Slepian, A class of binary signaling alphabets, Bell System Tech. J., 35 (1956), 203–234 MR0077820 CrossrefISIGoogle Scholar[5] B. Van der Waerden, Moderne Algebra, Ungar, New York, 1943, English Transl., Ungar, 1949 Google Scholar[6] Neal Zierler, Linear recurring sequences, J. Soc. Indust. Appl. Math., 7 (1959), 31–48 10.1137/0107003 MR0101979 0096.33804 LinkISIGoogle Scholar[7] R. C. Bose and , D. K. Ray-Chaudhuri, On a class of error correcting binary group codes, Information and Control, 3 (1960), 68–79 10.1016/S0019-9958(60)90287-4 MR0112768 0104.36402 CrossrefGoogle Scholar[8] W. W. Peterson, Encoding and error-correction procedures for the Bose-Chaudhuri codes. , Trans. IRE, IT-6 (1960), 459–470 10.1109/TIT.1960.1057586 MR0118576 0171.17501 CrossrefISIGoogle Scholar Previous article Next article FiguresRelatedReferencesCited ByDetails BCH Codes with Minimum Distance Proportional to Code LengthSatoshi Noguchi, Xiao-Nan Lu, Masakazu Jimbo, and Ying MiaoSIAM Journal on Discrete Mathematics, Vol. 35, No. 1 | 11 February 2021AbstractPDF (429 KB)A New Treatment of Bose-Chaudhuri CodesH. F. Mattson and G. SolomonJournal of the Society for Industrial and Applied Mathematics, Vol. 9, No. 4 | 10 July 2006AbstractPDF (1533 KB) Volume 9, Issue 2| 1961Journal of the Society for Industrial and Applied Mathematics History Submitted:24 May 1960Published online:10 July 2006 InformationCopyright © 1961 Society for Industrial and Applied MathematicsPDF Download Article & Publication DataArticle DOI:10.1137/0109020Article page range:pp. 207-214ISSN (print):0368-4245ISSN (online):2168-3484Publisher:Society for Industrial and Applied Mathematics