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Web application demonstrating lattice-based cryptography
Sečkár, Martin ; Jedlička, Petr (oponent) ; Ricci, Sara (vedoucí práce)
The aim of this thesis is to develop and implement a web application demonstrating lattice-based cryptography. The application was developed using mainly the Python programming language and Docker container platform. More specifically, the modules utilize the Bokeh library and custom JavaScript functionality expanding the Bokeh library. The modules are hosted on a Flask server where the background calculations are being computed using numPy library. The application contains three modules describing the closest vector problem, learning with errors problem and the Boyen cryptographic protocol based on the latter problem. Users are able to visualize two dimensional lattices and perform selected computations. The codebase is easily expandable and can serve as a learning platform. The thesis also includes installation and user manual.
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Post-Quantum Ciphers
Novosadová, Tatiana ; Ricci, Sara (oponent) ; Hajný, Jan (vedoucí práce)
The National Institute for Standards and Technology (NIST) has initiated a process to solicit, evaluate, and standardize one or more quantum-resistant public-key cryptography algorithms through a public competition. An objective of this thesis is to study the available post-quantum algorithms for key establishment, that were published in the third round of this competition. After a proper analysis and comparison, one of the studied algorithms was implemented using available libraries for the chosen algorithm, the created program was optimized and documented.
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Modular network communication using post-quantum cryptography
Kopecký, Samuel ; Malina, Lukáš (oponent) ; Smékal, David (vedoucí práce)
Current cryptography primitives, which are described at the begging of this thesis will be broken by future quantum computers. How they will be broken is described by this thesis along with a very basic description of quantum mechanics which are key to functional quantum computers. Available solutions like post-quantum cryptography are also introduced. More specifically code-based, hash-based and lattice-based cryptography. Lattice-based cryptography is described in most detail and specific NIST standardized algorithms are introduced – Kyber and Dilithium. Along with the theoretical description, an implementation is provided for both of the algorithms and a comparison to existing implementations in the programing language Go. Practical utilization of these algorithms is realized with a modular quantum-resistant communication application. It can send arbitrary data through a quantum-resistant secured channel and is well adjusted to the UNIX universal text interface. Notably it is able to exchange files between two users and also create a Terminal User Interface with which the users can communicate. The underlying protocol that is responsible for creating the secure channel is well defined in the latter chapters of this thesis. The modularity of the applications also allows users to remove or/and add any Key Exchange Mechanism or Digital signature which are responsible for the creation of the secure channel with very few code changes and good integration to the existing components of the application.
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Web application demonstrating lattice-based cryptography
Sečkár, Martin ; Jedlička, Petr (oponent) ; Ricci, Sara (vedoucí práce)
The aim of this thesis is to develop and implement a web application demonstrating lattice-based cryptography. The application was developed using mainly the Python programming language and Docker container platform. More specifically, the modules utilize the Bokeh library and custom JavaScript functionality expanding the Bokeh library. The modules are hosted on a Flask server where the background calculations are being computed using numPy library. The application contains three modules describing the closest vector problem, learning with errors problem and the Boyen cryptographic protocol based on the latter problem. Users are able to visualize two dimensional lattices and perform selected computations. The codebase is easily expandable and can serve as a learning platform. The thesis also includes installation and user manual.
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Post-Quantum Ciphers
Novosadová, Tatiana ; Ricci, Sara (oponent) ; Hajný, Jan (vedoucí práce)
The National Institute for Standards and Technology (NIST) has initiated a process to solicit, evaluate, and standardize one or more quantum-resistant public-key cryptography algorithms through a public competition. An objective of this thesis is to study the available post-quantum algorithms for key establishment, that were published in the third round of this competition. After a proper analysis and comparison, one of the studied algorithms was implemented using available libraries for the chosen algorithm, the created program was optimized and documented.
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