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- Article name
- Variants of defining finite non-commutative groups of four-dimension vectors for designing cryptoschemes
- Authors
- Moldovyan D. N., , mdn.spectr@mail.ru, St. Petersburg Electrotechnical Univeristy "LETI", St. Petersburg, Russia
Goryachev A. A., , alex_disp@gmail.com, St.-Petersburg Institute for Informatics and Automation of Russian Academy of Sciences, St.-Petersburg, Russia
Borkov P. V., , zuek_sgu@inbox.ru, St.-Petersburg State University for Waterway communications, St.-Petersburg, Russia
- Keywords
- difficult problem / conjugacy search problem / non-commutative vector groups / finite matrix groups / finite vector groups / cryptoscheme
- Year
- 2011 Issue 1 Pages 23 - 28
- Code EDN
- Code DOI
- Abstract
- There are considered variants of defining the finite non-commutative finite groups of four-dimension vectors over the finite rings and finite extension fields. In the both cases the general formulas for computing the group order have been derived. The considered variants suites for implementing the cryptoschemes based on a novel computationally hard problem, the hidden conjugacy search problem.
- Text
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