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Postquantum Cryptography on the FPGA Platform
Dobiáš, Patrik ; Jedlička, Petr (referee) ; Malina, Lukáš (advisor)
This master thesis deals with the hardware implementations of post-quantum cryptogra- phy schemes on FPGA platforms. After the initial comparison of the candidate schemes for NIST standardization and the analysis of the previous work focusing on these schemes, Crystals-KYBER scheme was chosen and implemented. All scheme algorithms have been implemented inside a single component, minimizing resource utilization. The results of this implementation were analyzed and compared with the existing implementations. At the end of this work, the implemented scheme was deployed on Virtext UltraScale+ and tested for the use during mutually authenticated key exchange (AKE).
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Methods of post-quantum cryptography
Popelová, Lucie ; Dzurenda, Petr (referee) ; Malina, Lukáš (advisor)
In the last decades there has been such a fundamental development in the technologies including postquantum technologies. In case that the Shor algorithm would be used on quantum computers it is likely to solve mathematical problems in real time which are major for our security. It is necessary to focus on postquantum cryptography, which is able to resist quantum attacks and secure our systems. This work analyses and compares different types of postquantum cryptography. Afterwards this work chooses postquantum protocols which are measured and analysed on the PC and IoT device. Furthemore data are used to find the most effective postquantum protocol for key exchange and signature scheme.
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Modern Privacy-Preserving Cryptography Protocols
Hlučková, Pavla ; Dzurenda, Petr (referee) ; Malina, Lukáš (advisor)
This thesis examines the intersection of two modern and growing branches of cryptography, namely privacy enhancing technologies and post-quantum cryptography. It describes selected privacy enhancing schemes (PETs) and families of post-quantum cryptography. In more detail, it focuses on group signatures based on mathematical problems that are difficult or intractable for both conventional and quantum computers. Furthermore, the thesis surveys the state of the art and compares the efficiency of mentioned schemes based on available data. The main part of this thesis is an implementation of a hash-based group signature and its comparison with lattice-based and code-based group signature implementations which were obtained directly from cryptographers active in this field. The post-quantum group signatures are subsequently compared to classic group signature schemes implemented by using the libgroupsig library.
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Postquantum cryptography on FPGA
Kek, Sanjin ; Gerlich, Tomáš (referee) ; Smékal, David (advisor)
Subject of this bachelor thesis is postquantum cryptography on FPGA. Focus of theoretical part is to acquaint the reader with FPGA technology, basic principles of VHDL language, current situation in the field of postquantum cryptography and postquantum digital signing scheme CRYSTALS-Dilithium. Increased attention is paid to this scheme. Algorithms needed for function of the scheme, such as SHAKE, NTT and smaller operations used for public key compression, are described. Practical part contains hardware implementation of expandable output function SHAKE and smaller operations, such as Decompose, UseHint, Power2Round and others.
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Possibilities of post-quantum cryptography
Burda, Patrik ; Malina, Lukáš (referee) ; Dzurenda, Petr (advisor)
With rapidly evolving technologies and a potential threat of quantum computers that could break all of today’s secure communication, there is a need for ways to deal with this threat. This work deals with the analysis of cryptographic schemes resistant to today’s known quantum attacks such as Shore’s algorithm. The work also includes measurement and evaluation of speed and memory usage. Based on the measurement a suitable postquantum scheme is then implemented on smart card.
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Measuring Post-Quantum Cryptography on Mobile Platforms
Ramiš, Karel ; Malina, Lukáš (referee) ; Dobiáš, Patrik (advisor)
This work concerns itself with the issue of post-quantum cryptography, particularly its implementation and performance on mobile devices. As part of the work, a mobile application capable of performing basic steps of post-quantum cryptographic schemes and subsequently measuring selected parameters is created. Furthermore, an own version of the CRYSTALS-Kyber scheme for key encapsulation is developed and evaluated.
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Postquantum Cryptography on the FPGA Platform
Dobiáš, Patrik ; Jedlička, Petr (referee) ; Malina, Lukáš (advisor)
This master thesis deals with the hardware implementations of post-quantum cryptogra- phy schemes on FPGA platforms. After the initial comparison of the candidate schemes for NIST standardization and the analysis of the previous work focusing on these schemes, Crystals-KYBER scheme was chosen and implemented. All scheme algorithms have been implemented inside a single component, minimizing resource utilization. The results of this implementation were analyzed and compared with the existing implementations. At the end of this work, the implemented scheme was deployed on Virtext UltraScale+ and tested for the use during mutually authenticated key exchange (AKE).
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|
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Modern Privacy-Preserving Cryptography Protocols
Hlučková, Pavla ; Dzurenda, Petr (referee) ; Malina, Lukáš (advisor)
This thesis examines the intersection of two modern and growing branches of cryptography, namely privacy enhancing technologies and post-quantum cryptography. It describes selected privacy enhancing schemes (PETs) and families of post-quantum cryptography. In more detail, it focuses on group signatures based on mathematical problems that are difficult or intractable for both conventional and quantum computers. Furthermore, the thesis surveys the state of the art and compares the efficiency of mentioned schemes based on available data. The main part of this thesis is an implementation of a hash-based group signature and its comparison with lattice-based and code-based group signature implementations which were obtained directly from cryptographers active in this field. The post-quantum group signatures are subsequently compared to classic group signature schemes implemented by using the libgroupsig library.
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Cryptoanalysis of a Post-quantum Cryptography Algorithm
Štumpf, Daniel ; Hojsík, Michal (advisor) ; Příhoda, Pavel (referee)
National Institute of Standards and Technology (NIST) is currently running a stan- dardization process for a post-quantum cryptography primitives. Depending on the al- gorithms building blocks these primitives can be divided into five categories. In the first part of this thesis we described all five categories and compared their characteristics. The most important aspect of the schemes for NIST is security against both classical and quantum adversaries. We chose one of the five categories (namely, we picked lattice- based cryptosystems) for further cryptanalysis. As we think that the security analysis of some of the second round candidates in the NIST standardization project is not suffi- ciently well described in their specification documents and some known attacks are not considered at all, we provide a unified security analysis of these schemes. We described two currently known attacks (primal and dual attacks) against lattice-based schemes, estimated cost of these attacks against the lattice-based candidates in the second round of the NIST standardization project and compared these values with the security claimed by these candidates. In most cases our estimations matches those published in the speci- fication documents and therefore we conclude that the security estimates claimed by the candidates are...
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Postquantum cryptography on FPGA
Kek, Sanjin ; Gerlich, Tomáš (referee) ; Smékal, David (advisor)
Subject of this bachelor thesis is postquantum cryptography on FPGA. Focus of theoretical part is to acquaint the reader with FPGA technology, basic principles of VHDL language, current situation in the field of postquantum cryptography and postquantum digital signing scheme CRYSTALS-Dilithium. Increased attention is paid to this scheme. Algorithms needed for function of the scheme, such as SHAKE, NTT and smaller operations used for public key compression, are described. Practical part contains hardware implementation of expandable output function SHAKE and smaller operations, such as Decompose, UseHint, Power2Round and others.
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