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  • 标题:On Ob­tain­ing of Ir­re­ducible Poly­no­mi­als on Ga­lois Fields for In­for­ma­tion Se­cu­rity Sys­tems
  • 本地全文:下载
  • 作者:Fe­dorechko O.I. ; Uvarov N.V. ; Isachenko G.B.
  • 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 prob­lem of gen­er­at­ing the in­de­com­pos­able poly­no­mi­als over Ga­lois fields used in cryp­to­graphic in­for­ma­tion se­cu­rity, gen­er­a­tion of pseudo ran­dom num­bers and se­quences, data com­pres­sion and er­ror-cor­rec­tion dur­ing data trans­mis­sion. New prop­er­ties of poly­no­mi­als over fi­nite fields was dis­cov­ered after the­o­ret­i­cal and ex­per­i­men­tal re­search. The ap­proach to in­crease speed of search­ing in­de­com­pos­able poly­no­mi­als is pro­posed and re­lies on the op­ti­miza­tion of the pro­ce­dure of their se­lec­tion and test­ing using dis­cov­ered fea­tures.
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