On a New Family of (P and Q)-polynomial Schemes. - Alexandre A. Ivanov; Mikhail E. Muzichuk; Vasiliy A. Ustimenko (Eur. J. Comb., 1989)

Some Algebraic Constructions of Dense Graphs of Large Girth and of Large Size. - Felix Lazebnik; Vasiliy A. Ustimenko (Expanding Graphs, 1992)

New Examples of Graphs without Small Cycles and of Large Size. - Felix Lazebnik; Vasiliy A. Ustimenko (Eur. J. Comb., 1993)

New Constructions of Bipartite Graphs on m, n Vertices with Many Edges and Without Small Cycles. - Felix Lazebnik; Vasiliy A. Ustimenko; Andrew J. Woldar (J. Comb. Theory B, 1994)

Properties of Certain Families of 2k-Cycle-Free Graphs. - Felix Lazebnik; Vasiliy A. Ustimenko; Andrew J. Woldar (J. Comb. Theory B, 1994)

Explicit Construction of Graphs with an Arbitrary Large Girth and of Large Size. - Felix Lazebnik; Vasiliy A. Ustimenko (Discret. Appl. Math., 1995)

Graphs of Prescribed Girth and Bi-Degree. - Zoltán Füredi; Felix Lazebnik; Ákos Seress; Vasiliy A. Ustimenko; Andrew J. Woldar (J. Comb. Theory B, 1995)

A characterization of the components of the graphs D(k, q). - Felix Lazebnik; Vasiliy A. Ustimenko; Andrew J. Woldar (Discret. Math., 1996)

New upper bounds on the order of cages. - Felix Lazebnik; Vasiliy A. Ustimenko; Andrew J. Woldar (Electron. J. Comb., 1997)

Polarities and 2k-cycle-free graphs. - Felix Lazebnik; Vasiliy A. Ustimenko; Andrew J. Woldar (Discret. Math., 1999)

CRYPTIM: Graphs as Tools for Symmetric Encryption. - Vasyl Ustimenko (AAECC, 2001)

Extremal properties of regular and affine generalized m-gons as tactical configurations. - Vasiliy A. Ustimenko; Andrew J. Woldar (Eur. J. Comb., 2003)

On the hidden discrete logarithm for some polynomial stream ciphers. - Vasyl Ustimenko (IMCSIT, 2008)

On the Cryptographical Properties of Extremal Algebraic Graphs. - Vasyl Ustimenko (Algebraic Aspects of Digital Communications, 2009)

On the implementation of public keys algorithms based on algebraic graphs over finite commutative rings. - Michal Klisowski; Vasyl Ustimenko (IMCSIT, 2010)

On the implementation of stream ciphers based on a new family of algebraic graphs. - Vasyl Ustimenko; Stanislaw Kotorowicz; Urszula Romanczuk (FedCSIS, 2011)

The implementation of cubic public keys based on a new family of algebraic graphs. - Michal Klisowski; Urszula Romanczuk; Vasyl Ustimenko (Ann. UMCS Informatica, 2011)

On LDPC codes corresponding to affine parts of generalized polygons. - Monika Polak; Vasyl Ustimenko (Ann. UMCS Informatica, 2011)

On the key exchange with new cubical maps based on graphs. - Urszula Romanczuk; Vasyl Ustimenko (Ann. UMCS Informatica, 2011)

Performance of algebraic graphs based stream-ciphers using large finite fields. - Abderezak Touzene; Vasyl Ustimenko; Marwa AlRaissi; Imene Boudelioua (Ann. UMCS Informatica, 2011)

On the key expansion of D(n, K)-based cryptographical algorithm. - Vasyl Ustimenko; Aneta Wróblewska (Ann. UMCS Informatica, 2011)

On LDPC Codes Corresponding to Infinite Family of Graphs A(k;K). - Monika Polak; Vasyl Ustimenko (FedCSIS, 2012)

On some mathematical aspects of data protection in cloud computing. - Vasyl Ustimenko (HPCS, 2012)

On the Comparison of Cryptographical Properties of Two Different Families of Graphs with Large Cycle Indicator. - Michal Klisowski; Vasyl Ustimenko (Math. Comput. Sci., 2012)

On Families of Graphs of Large Cycle Indicator, Matrices of Large Order and Key Exchange Protocols With Nonlinear Polynomial Maps of Small Degree. - Urszula Romanczuk; Vasyl Ustimenko (Math. Comput. Sci., 2012)

LDPC Codes Based on Algebraic Graphs. - Monika Polak; Vasyl Ustimenko (Ann. UMCS Informatica, 2012)

On the family of cubical multivariate cryptosystems based on the algebraic graph over finite commutative rings of characteristic 2. - Urszula Romanczuk; Vasyl Ustimenko (Ann. UMCS Informatica, 2012)

Dynamical systems as the main instrument for the constructions of new quadratic families and their usage in cryptography. - Vasyl Ustimenko; Aneta Wróblewska (Ann. UMCS Informatica, 2012)

Examples of Ramanujan and expander graphs for practical applications. - Monika Polak; Vasyl Ustimenko (FedCSIS, 2013)

On the key exchange with nonlinear polynomial maps of stable degree - Vasyl Ustimenko; Aneta Wróblewska (CoRR, 2013)

On the applications of Extremal Graph Theory to Coding Theory and Cryptography. - Monika Polak; Urszula Romanczuk; Vasyl Ustimenko; Aneta Wróblewska (Electron. Notes Discret. Math., 2013)

On the key exchange and multivariate encryption with nonlinear polynomial maps of stable degree. - Vasyl Ustimenko; Aneta Wróblewska (Ann. UMCS Informatica, 2013)

On Dynamical Systems of Large Girth or Cycle Indicator and Their Applications to Multivariate Cryptography. - Vasyl Ustimenko; Urszula Romanczuk (Artificial Intelligence, Evolutionary Computing and Metaheuristics, 2013)

On Extremal Graph Theory, Explicit Algebraic Constructions of Extremal Graphs and Corresponding Turing Encryption Machines. - Vasyl Ustimenko; Urszula Romanczuk (Artificial Intelligence, Evolutionary Computing and Metaheuristics, 2013)

On LDPC Codes Based on Families of Expanding Graphs of Increasing Girth without Edge-Transitive Automorphism Groups. - Monika Polak; Vasyl Ustimenko (CSS, 2014)

On Multivariate Cryptosystems Based on Polynomially Compressed Maps with Invertible Decomposition. - Urszula Romanczuk-Polubiec; Vasyl Ustimenko (CSS, 2014)

On multivariate cryptosystems based on maps with logarithmically invertible decomposition corresponding to walk on graph. - Vasyl Ustimenko (FedCSIS, 2014)

On two windows multivariate cryptosystem depending on random parameters. - Urszula Romanczuk-Polubiec; Vasyl Ustimenko (IACR Cryptol. ePrint Arch., 2014)

On Multivariate Cryptosystems Based on Computable Maps with Invertible Decomposition. - Vasyl Ustimenko (Ann. UMCS Informatica, 2014)

On New Examples of Families of Multivariate Stable Maps and their Cryptographical Applications. - Aneta Wróblewska; Vasyl Ustimenko (Ann. UMCS Informatica, 2014)

Algorithms for generation of Ramanujan graphs, other Expanders and related LDPC codes. - Monika Polak; Vasyl Ustimenko (Ann. UMCS Informatica, 2015)

Graph based cubical multivariate maps and their cryptographical applications. - Michal Klisowski; Vasyl Ustimenko (Advances on Superelliptic Curves and their Applications, 2015)

A geometric approach to orbital recognition in Chevalley-type coherent configurations and association schemes. - Vasyl Ustimenko; Andrew J. Woldar (Australas. J Comb., 2017)

On new multivariate cryptosystems based on hidden Eulerian equations over finite fields. - Vasyl Ustimenko (IACR Cryptol. ePrint Arch., 2017)

On desynchronised El Gamal algorithm. - Vasyl Ustimenko (IACR Cryptol. ePrint Arch., 2017)

On the implementation of new symmetric ciphers based on non-bijective multivariate maps. - Vasyl Ustimenko; Urszula Romanczuk-Polubiec; Aneta Wróblewska; Monika Polak; Eustrat Zhupa (FedCSIS, 2018)

Expanding graphs of the Extremal Graph Theory and expanded platforms of Post Quantum Cryptography. - Vasyl Ustimenko; Urszula Romanczuk-Polubiec; Aneta Wróblewska (FedCSIS (Position Papers), 2019)

On semigroups of multiplicative Cremona transformations and new solutions of Post Quantum Cryptography. - Vasyl Ustimenko (IACR Cryptol. ePrint Arch., 2019)

On inverse protocols of Post Quantum Cryptography based on pairs of noncommutative multivariate platforms used in tandem. - Vasyl Ustimenko (IACR Cryptol. ePrint Arch., 2019)

On affine Cremona semigroups, corresponding protocols of Non-commutative Cryptography and encryption with several nonlinear multivariate transformations on secure Eulerian mode. - Vasyl Ustimenko (IACR Cryptol. ePrint Arch., 2019)

On Noncommutative Cryptography and homomorphism of stable cubical multivariate transformation groups of infinite dimensional affine spaces. - Vasyl Ustimenko; Michal Klisowski (IACR Cryptol. ePrint Arch., 2019)

On the Constructions of New Symmetric Ciphers Based on Nonbijective Multivariate Maps of Prescribed Degree. - Vasyl Ustimenko; Urszula Romanczuk-Polubiec; Aneta Wróblewska; Monika Katarzyna Polak; Eustrat Zhupa (Secur. Commun. Networks, 2019)

On Multivariate Algorithms of Digital Signatures on Secure El Gamal Type Mode. - Vasyl Ustimenko (IACR Cryptol. ePrint Arch., 2020)

On Multivariate Algorithms of Digital Signatures of Linear Degree and Low Density. - Vasyl Ustimenko (IACR Cryptol. ePrint Arch., 2020)

On Multivariate Algorithms of Digital Signatures Based on Maps of Unbounded Degree Acting on Secure El Gamal Type Mode. - Vasyl Ustimenko (IACR Cryptol. ePrint Arch., 2020)

New Cryptosystems of Noncommutative Cryptography based on Eulerian Semigroups of Multivariate Transformations (short paper). - Vasyl Ustimenko; Oleksandr Pustovit (CPITS I, 2021)

Eulerian Transformations and Postquantum Access Control Protocol-Based Algorithms (short paper). - Vasyl Ustimenko; Oleksandr Pustovit (CPITS II (2), 2021)

On computations with Double Schubert Automaton and stable maps of Multivariate Cryptography. - Vasyl Ustimenko (CoRR, 2021)

On effective computations in special subsemigroups of polynomial transformations and protocol based multivariate cryptosystems. - Vasyl Ustimenko (IACR Cryptol. ePrint Arch., 2021)

On Extremal Expanding Algebraic Graphs and post-quantum secure delivery of passwords, encryption maps and tools for multivariate digital signatures. - Vasyl Ustimenko (IACR Cryptol. ePrint Arch., 2021)

On Multivariate Maps of High Degree for the Post Quantum Protection of Virtual Organizations (short paper). - Vasyl Ustimenko; Tymoteusz Chojecki (CPITS, 2022)

On-Time Dependent Linguistic Graphs and Solutions of Postquantum Multivariate Cryptography (short paper). - Vasyl Ustimenko; Oleksandr Pustovit (CPITS, 2022)

On D(n; q) quotients of large girth and hidden homomorphism based cryptographic protocols. - Vasyl Ustimenko; Michal Klisowski (FedCSIS (Communication Papers), 2022)

On fast computations of numerical parameters of homogeneous algebraic graphs of large girth and small diameter and encryption of large files. - Tymoteusz Chojecki; Vasyl Ustimenko (IACR Cryptol. ePrint Arch., 2022)

On new results on Extremal Graph Theory, Theory of Algebraic Graphs and their applications in Cryptography and Coding Theory. - Vasyl Ustimenko (IACR Cryptol. ePrint Arch., 2022)

New results on algebraic graphs of large girth and their impact on Extremal Graph Theory and Algebraic Cryptography. - Vasyl Ustimenko (IACR Cryptol. ePrint Arch., 2022)

On Extremal Algebraic Graphs and Multivariate Cryptosystems. - Vasyl Ustimenko (IACR Cryptol. ePrint Arch., 2022)

On the families of graphs with the fastest growth of girth and their usage in cryptography. - Vasyl Ustimenko (IACR Cryptol. ePrint Arch., 2022)

Expanding Extremal Graphs and Implemented Solutions of Post Quantum Cryptography. - Vasyl Ustimenko; Oleksandr Pustovit (CPITS, 2023)

Families of Stream Ciphers based on Non-Bijective Multivariate Encryption Maps of High Degree. - Vasyl Ustimenko; Oleksandr Pustovit (CPITS II, 2023)

Linear Codes of Schubert Type and Quadratic Public Keys of Multivariate Cryptography (short paper). - Vasyl Ustimenko (CQPC, 2023)

Schubert cells and quadratic public keys of Multivariate Cryptography. - Vasyl Ustimenko (ITTAP, 2023)

On families of stream ciphers based on the approximations of regular forests. - Vasyl Ustimenko; Oleksandr Pustovit (ITTAP, 2023)

Linear codes of Schubert type and quadratic public keys of Multivariate Cryptography. - Vasyl Ustimenko (IACR Cryptol. ePrint Arch., 2023)

On implemented graph based generator of cryptographically strong pseudorandom sequences of multivariate nature. - Vasyl Ustimenko; Tymoteusz Chojecki (IACR Cryptol. ePrint Arch., 2023)

On Extremal Algebraic Graphs and implementations of new cubic Multivariate Public Keys. - Vasyl Ustimenko; Tymoteusz Chojecki; Michal Klisowski (IACR Cryptol. ePrint Arch., 2023)

Extremal algebraic graphs, quadratic multivariate public keys and temporal rules. - Vasyl Ustimenko; Aneta Wróblewska (IACR Cryptol. ePrint Arch., 2023)

Implementation of New Families of Graph-based Stream Ciphers with the Hidden Multivariate Nature. - Vasyl Ustimenko; Oleksandr Pustovit (CPITS, 2024)

On Schubert cells of projective geometry and pseudo-quadratic public keys of multivariate cryptography (short paper). - Vasyl Ustimenko; Oleksandr Pustovit (CPITS II, 2024)

On Graphs Defined by Equations and Cubic Multivariate Public Keys. - Vasyl Ustimenko; Tymoteusz Chojecki; Michal Klisowski (FICC (3), 2024)

Jordan-Gauss graphs and quadratic public keys of Multivariate Cryptography. - Vasyl Ustimenko; Oleksandr Pustovit (ITTAP, 2024)

On affine forestry over integral domains and families of deep Jordan-Gauss graphs. - Tymoteusz Chojecki; Grahame Erskine; James Tuite; Vasyl Ustimenko (IACR Cryptol. ePrint Arch., 2024)

On short digital signatures with Eulerian transformations. - Vasyl Ustimenko (IACR Cryptol. ePrint Arch., 2024)

On historical Multivariate Cryptosystems and their restorations as instruments of Post-Quantum Cryptography. - Vasyl Ustimenko (IACR Cryptol. ePrint Arch., 2024)

On the cryptosystems based on two Eulerian transfor-mations defined over the commutative rings Z2s, s>1. - Vasyl Ustimenko (IACR Cryptol. ePrint Arch., 2024)

On Schubert cells of Projective Geometry and quadratic public keys of Multivariate Cryptography. - Vasyl Ustimenko (IACR Cryptol. ePrint Arch., 2024)

On the Jordan-Gauss graphs and new multivariate public keys. - Vasyl Ustimenko; Tymoteusz Chojecki; Aneta Wróblewska (IACR Cryptol. ePrint Arch., 2024)

On Symbolic Computations over Arbitrary Commutative Rings via Temporal Jordan-Gauss Graphs and Multivariate Cryptosystems. - Vasyl Ustimenko; Oleksandr Pustovit (CPITS, 2025)

On Algebraic Graphs of Large Girth and New Families of Message Authentication Codes (short paper). - Vasyl Ustimenko; Oleksandr Pustovit (CQPC, 2025)

On the Postquantum Protocol-Based Short Digital Signatures with Multivariate Maps Over Arithmetical Rings. - Vasyl Ustimenko; Oleksandr Pustovit (FICC (3), 2025)

On symbolic computations over arbitrary commutative rings and cryptography with the temporal Jordan-Gauss graphs. - Vasyl Ustimenko (IACR Cryptol. ePrint Arch., 2025)

On symbolic computations and Post Quantum Cryptography with Lie Geometries. - Vasyl Ustimenko (IACR Cryptol. ePrint Arch., 2025)

On graph based pseudo quadratic multivariate maps of prescribed degree as instruments of key establishment. - Vasyl Ustimenko; Tymoteusz Chojecki (IACR Cryptol. ePrint Arch., 2025)