A Class of Error-Correcting Codes in pᵐ Symbols

Previous article Next article A Class of Error-Correcting Codes in pᵐ SymbolsDaniel Gorenstein and Neal ZierlerDaniel Gorenstein and Neal Zierlerhttps: //doi. org/10. 1137/0109020PDFPDF PLUSBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout1 G. Birkhoff and, S. Maclane, A Survey of Modern Algebra, Macmillan, New York, 1944 Google Scholar2 N. Macon and, A. Spitzbart, Inverses of Vandermonde matrices, Amer. Math. Monthly, 65 (1958), 95–100 MR0103357 0081. 01503 CrossrefGoogle Scholar3 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 Scholar4 David Slepian, A class of binary signaling alphabets, Bell System Tech. J. , 35 (1956), 203–234 MR0077820 CrossrefISIGoogle Scholar5 B. Van der Waerden, Moderne Algebra, Ungar, New York, 1943, English Transl. , Ungar, 1949 Google Scholar6 Neal Zierler, Linear recurring sequences, J. Soc. Indust. Appl. Math. , 7 (1959), 31–48 10. 1137/0107003 MR0101979 0096. 33804 LinkISIGoogle Scholar7 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 Scholar8 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