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

This work explores the topic of digital audio signal processing for modular synthesizers and the design of digital oscillator for modular standard known as Eurorack. Introduction of the theoretical part is dedicated to basic terms and blocks used in modular synthesizers. The thesis also characterizes and presents the methods of sound synthesis. The second part of the theory concerns analog and digital signal conversion made by digital signal processors DSP, focusing on ARM with focus on ARM architecture. The practical part of the thesis concerns design and construction of the digital oscillator which generates periodic waveforms without aliasing distortion. The oscillator also allows several types of modulations and waveforming and the module has several inputs for connecting control voltages or external audio signals.