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- Article name
- Digital signature primitives: finite groups with three-dimension cyclicity
- Authors
- Moldovyanu P. A., , spectrz@mail.ru, Federal State Unitary Institution «Scientific Research Institute "Vector"» (FSUI «SRI "Vector"»), St.-Petersburg, Russia
Scherbakov V. A., , scerb@math.md, Institute of Mathematics and Computer Science, Academy of Sciences of Moldova (IMIASM, Kishinev), Kishinev, Moldova
Kostina A. A., , , Federal State Unitary Institution «Scientific Research Institute "Vector"» (FSUI «SRI "Vector"»), St.-Petersburg, Russia
Moldovyan N. A., , nmold@cobra.ru, Saint-Petersburg Institute for Informatics and Automation of Russian Academy of Sciences (SPIIRAS), St.-Petersburg, Russia
- Keywords
- finite groups / finding roots / finite groups / vector groups / non-cyclic groups / three-dimension cyclicity / digital signature
- Year
- 2009 Issue 3 Pages 9 - 15
- Code EDN
- Code DOI
- Abstract
- For synthesis of the digital signature (DS) algorithms based on difficulty of finding large prime degree roots in finite multiplicative groups possessing the known order of special structure it is proposed a method for constructing the vector finite groups with three-dimension cyclic structure. Such groups contain large number of cyclic subgroups order of which is divisible by the given squared prime number. There is proposed a new DS scheme and algorithms for computing large prime roots in the applied finite groups.
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