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  • 标题:Guar­an­teed De­tect­ing Four Er­rors By Using Of Min­i­mum Con­trol Bits Num­ber
  • 本地全文:下载
  • 作者:Markovskyi O.P. ; Uvarov N.V. ; Uvarova N.V.
  • 期刊名称:Visnyk NTUU KPI : Informatics, Operation and Computer Science
  • 印刷版ISSN:0135-1729
  • 出版年度:2012
  • 期号:55
  • 出版社:National Technical University of Ukraine
  • 摘要:The ar­ti­cle is ded­i­cated to the method of the guar­an­teed de­tec­tion of quadru­ple er­rors dur­ing trans­mis­sion via sym­met­ri­cal bi­nary chan­nel. The main fea­ture of the pro­posed method is the the­o­ret­i­cally min­i­mal length of the error de­tec­tion code. The method is based on the use of the weight co­ef­fi­cients formed on the basis of a spe­cial non-lin­ear func­tional trans­for­ma­tion. It is shown that use of such co­ef­fi­cients in con­trol code cal­cu­la­tion pro­vides guar­an­teed de­tec­tion of quadru­ple er­rors with the min­i­mal length of the error de­tec­tion code. Also in the ar­ti­cle the prop­er­ties of such non-lin­ear trans­for­ma­tion has been an­a­lyzed. The con­di­tions to be met for both the trans­for­ma­tion it­self and its dif­fer­en­tial are de­ter­mined.
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