Error Correcting Codes—Theory and Applications (Alai Poli and Llorenc Huguet)
Harold F. Mattson · SIAM Review · 1994
Previous article Next article Error Correcting Codes—Theory and Applications (Alai Poli and Llorenc Huguet)H. F. Mattson, Jr.H. F. Mattson, Jr.https://doi.org/10.1137/1036081PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] E. F. Assmus, Jr., The projective plane of order $10$?, Workshop on Combinatorial Aspects of Finite Geometries, Oberwolfach, 1970, 30 March-4 April Google Scholar[2] P. Camion, Abelian Codes, MRC Technical Summary Report, #1059, Mathematics Research Center, The University of Wisconsin, 1971, December Google Scholar[3] Peter Elias, Error-free coding, Trans. I.R.E., PGIT-4 (1954), 29–37 19,721a Google Scholar[4] P. Elias, Coding for noisy channels, IRE Convention Record, pt. 4, 1955, 37–46 Google Scholar[5] V. D. Goppa, Codes on algebraic curves, Dokl. Akad. Nauk SSSR, 46 (1982), , Math. USSR Isvestia, 21(1983), pp. 75–91. (In English.) Google Scholar[6] Tadao Kasami, , S. Lin and , W. W. Peterson, Linear codes which are invariant under the affine group and some results on minimum weights in ${\rm BCH}$ codes, Electron. Commun. Japan, 50 (1967), 100–106 38:6876 ISIGoogle Scholar[7] Clement Lam, The search for a finite projective plane of order $10$, Amer. Math. Monthly, 98 (1991), 305–318 92b:51013 0744.51011 CrossrefISIGoogle Scholar[8] E. A. Prange, Cyclic error-correcting codes in two symbols, TN 57-103, Air Force Cambridge Research Center, Bedford, MA, 1957 Google Scholar[9] E. A. Prange, An algorithm for factoring $x^{n}-1$ over a finite field, 1959, AFCRC-TN-59-775, Bedford, MA Google Scholar[10] Shojiro Sakata, L. Huguet and , A. Poli, Synthesis of two-dimensional linear feedback shift registers and Groebner basesApplied algebra, algebraic algorithms and error-correcting codes (Menorca, 1987), Lecture Notes in Comput. Sci., Vol. 356, Springer, Berlin, 1989, 394–407, Proceedings, AAECC 5, June 90g:94025 0674.94011 CrossrefGoogle Scholar[11] Shojiro Sakata, Two-dimensional shift register synthesis and Gröbner bases for polynomial ideals over an integer residue ring, Discrete Appl. Math., 33 (1991), 191–203, Proceedings, AAECC 7, June 1989, H. F. Mattson, Jr. and T. Mora, eds. 10.1016/0166-218X(91)90115-D 93b:13045 0747.94008 CrossrefISIGoogle Scholar Previous article Next article FiguresRelatedReferencesCited ByDetails Volume 36, Issue 2| 1994SIAM Review157-340 History Published online:17 February 2012 InformationCopyright © 1994 © Society for Industrial and Applied MathematicsPDF Download Article & Publication DataArticle DOI:10.1137/1036081Article page range:pp. 309-313ISSN (print):0036-1445ISSN (online):1095-7200Publisher:Society for Industrial and Applied Mathematics