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On Matrix Representations of Finite Extension Fields
Linköping University, The Institute of Technology. Linköping University, Department of Electrical Engineering, Data Transmission.
1995 (English)In: Seventh Joint Swedish-Russian International Workshop on Information Theory,1995, Moscow, Russia: Institute for Information Transmission Problems RAS , 1995, p. 185-Conference paper, Published paper (Refereed)
Abstract [en]

We define a matrix representation of elements in finite extension fields and determine under what circumstances we can find regularities in these matrices. Especially, we determine all cases for which the matrices are Hankel. This is of special interest for the design of algorithms for inversion in finite extension fields.
Place, publisher, year, edition, pages
Moscow, Russia: Institute for Information Transmission Problems RAS , 1995. p. 185-
Keywords [en]
Finite Fields, Multiplication, Inversion, Polynomial basis, Triangular basis, Dual basis, Matrix representation, Hankel Matrix.
National Category
Engineering and Technology
Identifiers
URN: urn:nbn:se:liu:diva-42328Local ID: 62621OAI: oai:DiVA.org:liu-42328DiVA, id: diva2:263184
Available from: 2009-10-10 Created: 2009-10-10

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Olofsson, Mikael

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CiteExportLink to record
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Citation style
  • apa
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • oxford
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  • de-DE
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  • en-US
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  • sv-SE
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Output format
  • html
  • text
  • asciidoc
  • rtf
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