Thesis (Selection of subject)Thesis (Selection of subject)(version: 278)
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Post-quantum alternative to secure sockets
Thesis title in Czech: Post-kvantová alternativa k bezpečným socketům
Thesis title in English: Post-quantum alternative to secure sockets
Key words: šifrování, bezpečnost, postkvantová kryptografie, diffie-hellman, supersingulární isogenie, eliptické křivky
English key words: encryption, security, post-quantum cryptography, diffie-hellman, supersingular isogeny, elliptic curves
Academic year of topic announcement: 2016/2017
Type of assignment: Bachelor's thesis
Thesis language: angličtina
Department: Department of Software Engineering (32-KSI)
Supervisor: Mgr. Miroslav Kratochvíl
Author: hidden - assigned and confirmed by the Study Dept.
Date of registration: 06.11.2016
Date of assignment: 07.11.2016
Confirmed by Study dept. on: 28.11.2016
Date and time of defence: 31.01.2017 00:00
Date of electronic submission:04.01.2017
Date of submission of printed version:04.01.2017
Date of proceeded defence: 31.01.2017
Reviewers: RNDr. Jan Kofroň, Ph.D.
In post-quantum conditions, where a sufficiently large quantum computer is available to the adversary, the security of traditional cryptography protocols including all variants of RSA and the ubiquitous Diffie-Hellman key exchange can be broken in polynomial time using Shor's algorithm.

Supersingular Isogeny-based Diffie-Hellman key exchange (SIDH), as introduced by De Feo and Jao in 2011, is one of the best candidates for a key-exchange protocol in post-quantum settings. This thesis aims to design a communication protocol and to implement a software library that would allow to establish secure communication channels on the Internet, using the quantum-resistant SIDH as a main cryptographic primitive to provide confidentality and peer authentication.
D. Jao and L. De Feo, Towards quantum-resistant cryptosystems from supersingular elliptic curve isogenies. Post-Quantum Cryptography, Nov 2011, Taipei, Taiwan. Springer, LNCS 7071, pp. 19-34, 2011.

L. De Feo, D. Jao and J. Plût, Towards quantum-resistant cryptosystems from supersingular elliptic curve isogenies. Journal of Mathematical Cryptology, 8(3), pp. 209-247. De Gruyter, 2014.

Schneier, Bruce. Applied cryptography: protocols, algorithms, and source code in C. john wiley & sons, 2007.
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