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  • 标题:Subquadratic Space Complexity Multiplier for GF($2^n$) Using Type 4 Gaussian Normal Bases
  • 本地全文:下载
  • 作者:Park, Sun-Mi ; Hong, Dowon ; Seo, Changho
  • 期刊名称:ETRI Journal
  • 印刷版ISSN:1225-6463
  • 电子版ISSN:2233-7326
  • 出版年度:2013
  • 卷号:35
  • 期号:3
  • 页码:523-529
  • DOI:10.4218/etrij.13.0112.0596
  • 语种:English
  • 出版社:Electronics and Telecommunications Research Institute
  • 摘要:Subquadratic space complexity multipliers for optimal normal bases (ONBs) have been proposed for practical applications. However, for the Gaussian normal basis (GNB) of type t > 2 as well as the normal basis (NB), there is no known subquadratic space complexity multiplier. In this paper, we propose the first subquadratic space complexity multipliers for the type 4 GNB. The idea is based on the fact that the finite field GF( ) with the type 4 GNB can be embedded into fields with an ONB.
  • 关键词:Finite field arithmetic;subquadratic space complexity multiplier;normal basis;Gaussian normal basis
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