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Alternative methods in cryptology
Hampl, Dalibor ; Doležel, Radek (referee) ; Hajný, Jan (advisor)
In the first part of this thesis explains, what is generally cryptography, generally analyze the problem of the current encryption methods. These include asymmetric, symmetric and hybrid encryption methods. The second part focuses on the theory of lattices and their main mathematical problems, then the shortest vector problem, the closest vector problem, the approximate shortest vector problem and the approximate closest vector problem. Mathematically difficult problems of lattice are used in an encryption method GGH for asymmetrically encrypted communications method and GGH for digital signatures. It explains mathematical methods, which use these encryption methods. Another part of this thesis deals with the encryption method and the establishment of XTR on Diffie-Hellman protocol, thus XTR-DH. It explains mathematical methods, which use methods XTR, XTR-DH and Diffie-Hellman protocol. There are shown the main mathematical problems for this part of thesis DHP (Diffie-Hellman problem) and DLP (discrete logarithm problem). The fourth part focuses on a program designed to demonstrate the GGH encryption method for asymmetrically encrypted communications. Describes the structure, functionality, graphical part of the program and shows to a user interface. Students can test how the GGH encryption method behave when entering different input values. During the work with the program, the user should obtain sufficient information to understand the principles of this encryption method.
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Cryptography on Computationally Limited Devices
Hampl, Dalibor ; Hajný, Jan (referee) ; Malina, Lukáš (advisor)
The thesis focuses on cryptographic algorithms of low performance devices, and mutual authentication of authentication server and user using smart cards. In the first part of this thesis the cryptography, cryptographic primitives, cryptographic goals, security models and cryptographic algorithms of low performance devices are presented. The second part focuses on low performance devices as RFID tags, NFC technology, microcontrollers and smart cards (.NET cards, java cards, MIFARE cards). The practical part deals with the comparison of chosen low performance devices and measure the time required for encryption and decryption using different cryptographic algorithms on Gemalto .NET Smart Card V2+. This thesis describes and explains the three authentication schemes for mutual authentication of remote server and user using smart cards. The new authentication scheme, which is based on the second related scheme, attempts to eliminate possible security attacks and keeps efficiency. For all four authentication schemes the application is implemented to test required time for authentication of server and user using smart cards.
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Alternative methods in cryptology
Hampl, Dalibor ; Doležel, Radek (referee) ; Hajný, Jan (advisor)
In the first part of this thesis explains, what is generally cryptography, generally analyze the problem of the current encryption methods. These include asymmetric, symmetric and hybrid encryption methods. The second part focuses on the theory of lattices and their main mathematical problems, then the shortest vector problem, the closest vector problem, the approximate shortest vector problem and the approximate closest vector problem. Mathematically difficult problems of lattice are used in an encryption method GGH for asymmetrically encrypted communications method and GGH for digital signatures. It explains mathematical methods, which use these encryption methods. Another part of this thesis deals with the encryption method and the establishment of XTR on Diffie-Hellman protocol, thus XTR-DH. It explains mathematical methods, which use methods XTR, XTR-DH and Diffie-Hellman protocol. There are shown the main mathematical problems for this part of thesis DHP (Diffie-Hellman problem) and DLP (discrete logarithm problem). The fourth part focuses on a program designed to demonstrate the GGH encryption method for asymmetrically encrypted communications. Describes the structure, functionality, graphical part of the program and shows to a user interface. Students can test how the GGH encryption method behave when entering different input values. During the work with the program, the user should obtain sufficient information to understand the principles of this encryption method.
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Cryptography on Computationally Limited Devices
Hampl, Dalibor ; Hajný, Jan (referee) ; Malina, Lukáš (advisor)
The thesis focuses on cryptographic algorithms of low performance devices, and mutual authentication of authentication server and user using smart cards. In the first part of this thesis the cryptography, cryptographic primitives, cryptographic goals, security models and cryptographic algorithms of low performance devices are presented. The second part focuses on low performance devices as RFID tags, NFC technology, microcontrollers and smart cards (.NET cards, java cards, MIFARE cards). The practical part deals with the comparison of chosen low performance devices and measure the time required for encryption and decryption using different cryptographic algorithms on Gemalto .NET Smart Card V2+. This thesis describes and explains the three authentication schemes for mutual authentication of remote server and user using smart cards. The new authentication scheme, which is based on the second related scheme, attempts to eliminate possible security attacks and keeps efficiency. For all four authentication schemes the application is implemented to test required time for authentication of server and user using smart cards.
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