Information authentication in automated control systems based on finite groups with multidimensional cyclicity

Authors:
N. A. Moldovyan
Affiliations:
Research Department of FSUE Research Institute "Vector,", St. Petersburg, Russia
Venue:
Automation and Remote Control
Year:
2009

Citing 3
Cited 0

Handbook of Applied Cryptography

Handbook of Applied Cryptography
Fundamentals of Computer Security

Fundamentals of Computer Security
Algorithms of information authentication for the automatic control systems on the basis of structures in finite vector spaces

Automation and Remote Control

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Abstract

The paper deals with information authentication for real time automatic control systems. Our approach differs from known ones in using finite groups of vectors over a finite field. We show that these groups of vectors are multidimensionally cyclic. This allows developing secure digital signature algorithms based on groups with the maximal prime factor of length 160/m bits where m is the vectors' dimension. We list formulas describing this multidimensional cyclicity of vector groups.