ISSN: 2310-8290
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dc.contributor.author | Ustimenko, Vasyl | |
dc.date.accessioned | 2021-12-22T16:10:06Z | |
dc.date.available | 2021-12-22T16:10:06Z | |
dc.date.issued | 2021 | |
dc.identifier.citation | Ustimenko, Vasyl. On computations with double Schubert automaton and stable maps of multivariate cryptography / V. Ustimenko // Мiждисциплiнарнi дослiдження складних систем = Interdisciplinary Studies of Complex Systems : [збірник наукових праць]. - Київ : Вид-во НПУ iменi М. П. Драгоманова, 2021. - Номер 19. - C. 18-32. - https://doi.org/10.31392/iscs.2021.19.018 | ua |
dc.identifier.uri | http://enpuir.npu.edu.ua/handle/123456789/36095 | |
dc.description.abstract | The families of bijective transformations Gn of affine space Kn over general commutative ring K of increasing order with the property of stability will be constructed. Stability means that maximal degree of elements of cyclic subgroup generated by the transformation of degree d is bounded by d. In the case K = Fq these transformations of Kn can be of an exponential order. We introduce large groups formed by quadratic transformations and numerical encryption algorithm protected by secure protocol of Noncommutative Cryptography. The construction of transformations is presented in terms of walks on Double Schubert Graphs. | ua |
dc.language.iso | en | ua |
dc.publisher | Вид-во НПУ ім. М. П. Драгоманова | ua |
dc.subject | Affine Cremona Group | ua |
dc.subject | Double Schubert Automaton | ua |
dc.subject | Multivariate Cryptography | ua |
dc.subject | Noncommutative Cryptography | ua |
dc.subject | Post Quantum Cryptography | ua |
dc.title | On computations with double Schubert automaton and stable maps of multivariate cryptography | ua |
dc.type | Article | ua |