Codes that attain minimum distance in every possible direction

TitleCodes that attain minimum distance in every possible direction
Publication TypeJournal Article
AuthorsKatona, G. O. H., A. Sali, and K. D. Schewe
Journal titleCentral European Journal of Mathematics
Year2008
Pages1 - 11
Volume6
Issue1
Abstract

The following problem motivated by investigation of databases is studied. Let C be a q-ary code of length n with the properties that C has minimum distance at least n – k + 1, and for any set of k – 1 coordinates there exist two codewords that agree exactly there. Let f(q, k) be the maximum n for which such a code exists. f(q, k) is bounded by linear functions of k and q, and the exact values for special k and q are determined.

Languageeng
Notes

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Publisher linkhttp://www.springerlink.com/content/x5472073j10j4026/fulltext.pdf