ISSN 0021-3454 (print version)
ISSN 2500-0381 (online version)
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9
Issue
vol 60 / SEPTEMBER, 2017
Article
UDC 681.3

CONSTRUCTION OF FINITE GROUPS OF VECTORS FOR SYNTHESIS OF DIGITAL SIGNATURE ALGORITHMS

Гортинская Л. В.
Университет ИТМО; студентка


E. S. Dernova
St. Petersburg State Electrotechnical University “LETI”, Department of Automated Systems for Information Processing and Control; Post-Graduate Student


D. N. Moldovyan
St. Petersburg Institute of Informatics and Automation, Russian Academy of Sciencies; Junior Scientist


P. A. Moldovyanu
“Vector” Research Institute, St. Petersburg; Head of Metrology Service


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Abstract. The problem is analyzed of construction of commutative and noncommutative groups of m-dimensional vectors, the groups containing high-size subgroups of prime orders. Application of the groups to synthesis of digital signature algorithms is considered.
Keywords: finite groups of m-dimensional vectors, digital signature, cryptographic algorithms.