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- Article name
- Generation of a secret modification of vector finite fields with a secret modification in public-key cryptographic algorithms based on hard-to-inverse mappings
- Authors
- Moldovyan N. A., , nmold@mail.ru, St. Petersburg Federal Research Center of the RAS (SPC RAS), St. Petersburg, Russia
Kostina A. A., , to.ann@inbox.ru, St. Petersburg Federal Research Center of the RAS (SPC RAS), St. Petersburg, Russia
Bakhrov M. O., , bahrovmichael@yandex.ru, Saint Petersburg Electrotechnical University "LETI", St. Petersburg, Russia
- Keywords
- information security / public-key cryptosystems / public encryption / digital signature / post-quantum cryptography / difficult-to- reverse mapping / finite algebra / finite field
- Year
- 2026 Issue 2 Pages 8 - 16
- Code EDN
- CIYFAH
- Code DOI
- 10.52190/2073-2600_2026_2_8
- Abstract
- A generalized algorithm for generating multiplication tables of basis vectors is proposed, which defines a finite vector field with a number of possible modifications sufficient to use a randomly selected modification as a secret key. The article discusses the problem of defining a difficult-to-reverse mapping vectors which is used as a public key in the form of a set of power polynomials whose values define the coordinates of the output vector using the coordinates of the input vector as variables. Several topologies for the implementation of difficult-to-inverse mappings are considered, in which a secret trap door is set as a large size degree exponentiation operation performed in a vector finite field with a secret modification. The constructed mappings have been software implemented.
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