Introduction To The Theory Of Error Correcting Code
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Introduction To The Theory Of Error-correcting Codes Vera Pless Pdf
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to the Theory of Error-Correcting Codes, Third EditionArticle in Mathematics of Computation 56(193) · June 1991 with 9 ReadsDOI: 10.2307/2008564 1st Vera PlessAbstractHalf TitleSeries InfoTitleCopyrightDedicationContentsPrefaceDo http://www.researchgate.net/publication/265546859_Introduction_to_the_Theory_of_Error-Correcting_Codes_Third_Edition you want to read the rest of this article?Request full-text CitationsCitations168ReferencesReferences0Error-correcting codes from $k$-resolving sets"Traditionally, the most familiar error-correcting codes are linear codes (i.e. subspaces of vector spaces over finite fields) [19], where the alphabet size is small (such as binary codes, which have an alphabet of size 2). Other classes of codes of error include permutation codes [7], where each codeword is a permutation of n symbols, so the length and alphabet size are both equal to n; codes with larger alphabet sizes have been the subject of more recent attention, in part because of applications such as powerline communications [9] and flash memory devices [23]. "[Show introduction to the abstract] [Hide abstract] ABSTRACT: We demonstrate a construction of error-correcting codes from graphs by means of $k$-resolving sets, and present a decoding algorithm which makes use of covering designs. Along the way, we determine the $k$-metric dimension of grid graphs (i.e. Cartesian products of paths). Full-text · Article · May 2016 Robert F. BaileyIsmael G. YeroRead full-textOn the number of alternating paths in bipartite complete graphs"Let α r (m, t) be the maximum size of a code C ⊆ [r] m such that any two elements of C have Hamming distance at least t. We refer the reader to [9] for more details concerning coding theory. Let K m,n be a complete bipartite graph on vertex set [m] ∪ [n]. "[Show abstract] [Hide abstract] ABSTRACT: Let $C \subseteq [r]^m$ be a code such that any two words of $C$ have Hamming distance at least $t$. It is not difficult to see that determining a code $C$ with