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- Article name
- Homomorphism and multi-dimension cyclicity of the vector finite groups in synthesis of the digital signature algorithms
- Authors
- Moldovyan D. N., , mdn.spectr@mail.ru, St. Petersburg Electrotechnical Univeristy "LETI", St. Petersburg, Russia
Dernova E. S., , evgeshka19@mail.ru, St.-Petersburg State Electrotechnical University LETI, St.-Petersburg, Russia
Moldovyanu P. A., , spectrz@mail.ru, Federal State Unitary Institution «Scientific Research Institute "Vector"» (FSUI «SRI "Vector"»), St.-Petersburg, Russia
- Keywords
- vector space / homomorphism / finite field / finite group / vector group / multi-dimension cyclicity / digital signature
- Year
- 2009 Issue 3 Pages 2 - 9
- Code EDN
- Code DOI
- Abstract
- It is described homomorphism of the m-dimension vector space in the finite field over which the vectors are defined. In the case of small dimension values the homomorphism is formally proved. For large dimension values the homomorphism is demonstrated with computation experiments. Using the vector finite groups possessing the multi-dimension cyclicity it is proposed a digital signature (DS) scheme. The parameters of the DS are selected so that attacks based on the homomorphism are prevented.
- Text
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