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Title

MATROIDS DUAL TO BINARY ONES AND THEIR SECRET SEPARATION SCHEMES

Authors

Svetlana Viktorovna Sorokina, PhD student of Ural State University of Railway Transport, Yekaterinburg. E-mail: sorokina@ifsusu.ru

Sergey Sergeevich Titov, PhD Physics and Mathematics, Professor of Ural State University of Railway Transport. E-mail: stitov@usaaa.ru

Section

Mathematical methods in security

Issue

14

Page

36-39

index UDC

004.056 + 519.151 + 004.072.4

index LBC

 

Abstract

The need to protect information from theft or unauthorized modification necessitates the sharing of rights of access to it. Proper differentiation of access to information means that the group of unpermitted participants gets no information about the secret, and any permitted one can restore it. The article dwells on the hypothesis which is going to be proved on the example of Fano matroid, as well as in the course of further research and other matroids.

Keywords

information security, matroids, matroid cycle, matroid basis, ideal secret separation scheme, access structure.

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