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Efficient Implementations of Post-quantum Isogeny-based Cryptography

Quantum computers are envisioned to be able to solve mathematical problems
which are currently unsolvable for conventional computers, because of their
exceptional computational power from quantum mechanics. Therefore, if quantum
computers are ever built in large scale, they will certainly be able to solve many classical
exponential complexity problems such as the hard problems which the current
public key cryptography is constructed upon. To counteract this problem, the design
of post-quantum cryptography protocols is necessary to preserve the security in the
presence of quantum adversaries. Regardless of whether we can estimate the exact
time for the advent of the quantum computing era, security protocols are required to
be resistant against potentially-malicious power of quantum computing.
In this thesis, the main focus is on the sperformance improvement of one
of the potential PQC candidates, isogeny-based cryptography. Several optimized
implementations of cryptography applications based on this primitive are presented.
From a general viewpoint, the proposed methods, implementation techniques and
libraries have a practical impact on the performance evaluation of post-quantum
cryptography schemes in a wide range of applications. In particular, the provided benchmarks and optimizations on ARM-powered processors provide a reference for
comparison and evaluation of isogeny-based cryptography with other post-quantum
candidates during the first round of NIST's PQC standardization process. / Includes bibliography. / Dissertation (Ph.D.)--Florida Atlantic University, 2018. / FAU Electronic Theses and Dissertations Collection

Identiferoai:union.ndltd.org:fau.edu/oai:fau.digital.flvc.org:fau_40930
ContributorsJalali, Amir (author), Azarderakhsh, Reza (Thesis advisor), Florida Atlantic University (Degree grantor), College of Engineering and Computer Science, Department of Computer and Electrical Engineering and Computer Science
PublisherFlorida Atlantic University
Source SetsFlorida Atlantic University
LanguageEnglish
Detected LanguageEnglish
TypeElectronic Thesis or Dissertation, Text
Format135 p., application/pdf
RightsCopyright © is held by the author with permission granted to Florida Atlantic University to digitize, archive and distribute this item for non-profit research and educational purposes. Any reuse of this item in excess of fair use or other copyright exemptions requires permission of the copyright holder., http://rightsstatements.org/vocab/InC/1.0/

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