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- Article name
- Setting six-dimensional algebras as supports of the signature schemes based on the hidden discrete logarithm problem
- Authors
- Moldovyan D. N., , mdn.spectr@mail.ru, St. Petersburg Electrotechnical Univeristy "LETI", St. Petersburg, Russia
- Keywords
- information security / post-quantum cryptography / digital signature / finite associative algebra / commutative algebra / multiplicative group
- Year
- 2021 Issue 1 Pages 26 - 32
- Code EDN
- Code DOI
- 10.52190/2073-2600_2021_1_26
- Abstract
- The structure of a number of four-dimensional finite non-commutative associative algebras is considered and some problems are shown with the use of non-invertible elements of such algebras as parameters of digital signature schemes based on the hidden discrete logarithm problem. To eliminate these problems, the use of six-dimensional and eight-dimensional algebras is proposed. A unified method for specifying algebras of the latter types has been developed.
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