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- Article name
- Defining the non-commutative finite vector groups for digital signature algorithms
- Authors
- Moldovyan D. N., , mdn.spectr@mail.ru, St. Petersburg Electrotechnical Univeristy "LETI", St. Petersburg, Russia
Kupriyanov I. A., , ikuprijanov@gmail.com, St.-Petersburg State University for Waterway communications, St.-Petersburg, Russia
Zaharov D. V., , zakharov.dmitriy@gmail.com, St.-Petersburg State University for Waterway Communications, St.-Petersburg, Russia
Kostina A. A., , nmold@mail.ru, St.-Petersburg Institute for Informatics and Automation of Russian Academy of Sciences, St.-Petersburg, Russia
- Keywords
- digital signature / finite vector group / group structure / non-commutative group / homomorphism
- Year
- 2009 Issue 4 Pages 12 - 18
- Code EDN
- Code DOI
- Abstract
- There are proposed the basis vector multiplication tables for constructing the non-commutative vector finite groups suitable to designing fast digital signature schemes. Is described the structure of the multiplicative groups of the finite vector rings defined over finite fields. Structure of such groups have been experimentally studied. The homomorphism of the constructed groups in the underground finite field have been found. The digital signature scheme based on the constructed vector groups have been designed taking into account the attacks using the homomorphism.
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