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Web application on elliptic curve cryptography
Štark, Daniel ; Dzurenda, Petr (oponent) ; Ricci, Sara (vedoucí práce)
Elliptic Curve Cryptography is currently the most used form of public-key cryptography. Theoretical part of this thesis is divided to two chapters. The first chapter describes important topics from algebra and number theory, on which the Elliptic Curve Cryptography is built. This includes groups, finite fields, elliptic curves themselves and the mathematical principles of two well-known and used protocols -- ECDH and ECDSA. The second chapter describes the tools, which were used for implementation of user-friendly web application, capable of simulating fundamental operations on elliptic curves and the aforementioned protocols. Key tools, which are introduced in this chapter, are mathematics software system SageMath and framework Spring, used for implementation of web applications in Java. The third chapter of this thesis describes the way the introduced tools were used, ergo the implementation of the web application itself.
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Kryptografické systémy nad eliptickými křivkami
Křivka, Petr ; Hajný, Jan (oponent) ; Stančík, Peter (vedoucí práce)
V této bakalářské práci je zpracována problematika kryptografických systémů na bázi eliptických křivek. Je zde popsán matematický aparát, který tyto systémy využívají. Podrobněji je zde rozebrána aritmetika konečných polí. Důležitou částí této práce je rozbor aplikace eliptických křivek v kryptografii. Mezi rozebrané algoritmy patří ECDH nebo ECDSA. V závěru práce je navrženo softwarové řešení, které dopomáhá při studiu kryptosystémů na bázi eliptických křivek. Umožňuje základní operace na prvočíselným tělesem.
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Zabezpečení komunikace vestavěného systému
Rácek, Luboš ; Mlýnek, Petr (oponent) ; Červenka, Vladimír (vedoucí práce)
Bakalářská práce se zaměřuje na návrh a analýzu protokolu pro zajištění zabezpečené komunikace s využitím hardwarového akcelerátoru. Protokol bude navržen s ohledem na nízkou spotřebu a malý výpočetní výkon použitého mikrokontroléru. Při návrhu bude zohledněna možnost využití asymetrické kryptografie.
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Efficient Digital Signature Schemes
Varga, Ondrej ; Sobotka, Jiří (oponent) ; Malina, Lukáš (vedoucí práce)
Digital signatures, which take the properties of classical signatures, are used to secure the actual content of documents, which can be modified during transmission over an insecure channel. The problems of security and protection of communicating participants are solved by cryptographic techniques. Identity verification, message integrity, credibility, the ownership of documents, and the secure transmission of information over an unsecured channel, are all dealt with in secure communications - Public Key Infrastructure, which uses digital signatures. Nowadays digital signatures are often used to secure data in communication over an unsecured channel. The aim of the following master’s thesis is to familiarize readers with the necessary technological aspects of digital signatures, as well as their advantages and disadvantages. By the time digital signatures are being used they will have to be improved and modified to be secure against more sophisticated attacks. In this paper, proposals of new efficient digital signature schemes and their comparison with current ones are described. Also are examined their implications for computationally weak devices, or deployment in low speed channel transmission systems. After an explanation of cryptography and a description of its basic subjects, digital signatures are introduced. The first chapter describes the possible formatting and architecture of the digital signature. The second part of this master’s thesis is about current digital signature schemes and their properties. Chapter 3 describes some proposals of new efficient digital signature schemes and their comparison to those currently in use. In the practical part, the implementations (in the environment .NET in C#) of two effective digital signature schemes as part of a client-server application are presented and described (Chapter 4). In the last chapter the comparison and analysis of the implemented signature schemes are provided.
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Cryptographic protocols for privacy protection
Hanzlíček, Martin ; Dzurenda, Petr (oponent) ; Hajný, Jan (vedoucí práce)
This work focuses on cryptographic protocol with privacy protection. The work solves the question of the elliptic curves and use in cryptography in conjunction with authentication protocols. The outputs of the work are two applications. The first application serves as a user and will replace the ID card. The second application is authentication and serves as a user authentication terminal. Both applications are designed for the Android operating system. Applications are used to select user attributes, confirm registration, user verification and show the result of verification.
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Zabezpečení bezdrátové komunikace embedded systému
Marek, Pavel ; Šimek, Milan (oponent) ; Červenka, Vladimír (vedoucí práce)
Tato bakalářská práce se zabývá problematikou zabezpečení komunikace v bezdrátových senzorových sítích. Jsou zde uvedeny a popsány možnosti šifrování pomocí protokolů, které využívají symetrických i asymetrických šifer. Jednotlivé protokoly jsou pak vyhodnoceny z hlediska výpočetní náročnosti a z hlediska spotřeby energie. Na základě těchto vyhodnocení je navržen a implementován protokol pro distribuci klíčů pro symetrickou šifru. Vlastní šifrování komunikace je implementováno podle standardu IEEE 802.15.4. Implementace je provedena na ARM Cortex-M3.
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Web application on elliptic curve cryptography
Štark, Daniel ; Dzurenda, Petr (oponent) ; Ricci, Sara (vedoucí práce)
Elliptic Curve Cryptography is currently the most used form of public-key cryptography. Theoretical part of this thesis is divided to two chapters. The first chapter describes important topics from algebra and number theory, on which the Elliptic Curve Cryptography is built. This includes groups, finite fields, elliptic curves themselves and the mathematical principles of two well-known and used protocols -- ECDH and ECDSA. The second chapter describes the tools, which were used for implementation of user-friendly web application, capable of simulating fundamental operations on elliptic curves and the aforementioned protocols. Key tools, which are introduced in this chapter, are mathematics software system SageMath and framework Spring, used for implementation of web applications in Java. The third chapter of this thesis describes the way the introduced tools were used, ergo the implementation of the web application itself.
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Secure Bootloader For Arm Microcontrollers
Prítel, Pavol
Embedded systems are single purpose devices, where software updates are often omitted or very limited in comparison with personal computer systems. Such systems are typically using microcontrollers with limited memory and computing power. Enabling software updates on an embedded system brings some security issues that need to be taken into account. As soon as there is a possibility of software update, the device is exposed to risk of malicious or not original applications being executed on the device. In this paper a reference implementation of bootloader with security features is described. As a result of using asymmetric cryptography, the memory footprint and startup time is increased significantly. The contribution of this work is in finding the right algorithm that will offer trade-off between level of security and used resources of targeted microcontroller.
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Cryptographic protocols for privacy protection
Hanzlíček, Martin ; Dzurenda, Petr (oponent) ; Hajný, Jan (vedoucí práce)
This work focuses on cryptographic protocol with privacy protection. The work solves the question of the elliptic curves and use in cryptography in conjunction with authentication protocols. The outputs of the work are two applications. The first application serves as a user and will replace the ID card. The second application is authentication and serves as a user authentication terminal. Both applications are designed for the Android operating system. Applications are used to select user attributes, confirm registration, user verification and show the result of verification.
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Zabezpečení bezdrátové komunikace embedded systému
Marek, Pavel ; Šimek, Milan (oponent) ; Červenka, Vladimír (vedoucí práce)
Tato bakalářská práce se zabývá problematikou zabezpečení komunikace v bezdrátových senzorových sítích. Jsou zde uvedeny a popsány možnosti šifrování pomocí protokolů, které využívají symetrických i asymetrických šifer. Jednotlivé protokoly jsou pak vyhodnoceny z hlediska výpočetní náročnosti a z hlediska spotřeby energie. Na základě těchto vyhodnocení je navržen a implementován protokol pro distribuci klíčů pro symetrickou šifru. Vlastní šifrování komunikace je implementováno podle standardu IEEE 802.15.4. Implementace je provedena na ARM Cortex-M3.
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