On computations with Double Schubert Automaton and stable maps of multivariate cryptography

Ustymenko, Vasyl

doi:10.15439/2021F67

Artykuł - szczegóły

Tytuł artykułu

On computations with Double Schubert Automaton and stable maps of multivariate cryptography

Autorzy

Ustymenko Vasyl

Wybrane pełne teksty z tego czasopisma

http://annals-csis.org

Identyfikatory

DOI

10.15439/2021F67

Warianty tytułu

Konferencja

Federated Conference on Computer Science and Information Systems (16 ; 02-05.09.2021 ; online)

Języki publikacji

Abstrakty

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.

Słowa kluczowe

affine Cremona group Double Schubert automation multivariate cryptography non-commutative cryptography Post Quantum Cryptography

afiniczna grupa Cremona podwójna automatyzacja Schuberta kryptografia wielowymiarowa kryptografia niekomutatywna kryptografia postkwantowa

Wydawca

Polskie Towarzystwo Informatyczne

Czasopismo

Annals of Computer Science and Information Systems

Rocznik

2021

Tom

Vol. 26

Strony

123--130

Opis fizyczny

Bibliogr. 40 poz., wz.

Twórcy

autor

Ustymenko Vasyl

vasyl@hektor.umcs.lublin.pl

Faculty of Mathematics, Physics and Computer Science Maria Curie-Skøodowska University Pl. Maria Curie Skøodowska 1, 20-031 Lublin, Poland

Bibliografia

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Uwagi

1. Track 1: Computer Science and Systems

2. Session: 14th Workshop on Computer Aspects of Numerical Algorithms

3. Communication papers

Typ dokumentu

Bibliografia

Identyfikator YADDA

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