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2 Annals of Computer Science and Information Systems

2 2021

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

100%

Ustymenko V.

2021

tom Vol. 26

123--130

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.

On new stream algorithms generating sensitive digests of computer files

63%

Ustymenko V. , Pustovit O.

2021

tom Vol. 26

117--121

The paper is dedicated to construction of new fast and flexible hash-based message authentication codes (HMACs) that will provide large files with cryptographically stable digestions in the Postquantum era. These instruments can be used for detecting cyber-terrorist attacks, file audits and checking the integrity of messages during communication, We use algebraic properties of well known extremal graphs D(n, q) and A(n,q) with good expansion property for the construction of HMACS.