A study of big field multivariate cryptography.

Cartor, Ryann

doi:10.18297/etd/3294

Cited by 1 publication

(1 citation statement)

References 34 publications

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“…In the third round, seven finalists and eight alternatives are selected for post‐quantum cryptography. Cartor 232 discussed multivariate cryptography, the important direct algebraic attacks, differential techniques, and proposed a new multivariate encryption scheme. The proposed scheme is analyzed against algebraic, MinRank, discrete differential, and parameter selection‐based attacks.…”

Section: Quantum and Post‐quantum Cryptographymentioning

confidence: 99%

Quantum computing: A taxonomy, systematic review and future directions

et al. 2021

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Quantum computing (QC) is an emerging paradigm with the potential to offer significant computational advantage over conventional classical computing by exploiting quantum‐mechanical principles such as entanglement and superposition. It is anticipated that this computational advantage of QC will help to solve many complex and computationally intractable problems in several application domains such as drug design, data science, clean energy, finance, industrial chemical development, secure communications, and quantum chemistry. In recent years, tremendous progress in both quantum hardware development and quantum software/algorithm has brought QC much closer to reality. Indeed, the demonstration of quantum supremacy marks a significant milestone in the Noisy Intermediate Scale Quantum (NISQ) era—the next logical step being the quantum advantage whereby quantum computers solve a real‐world problem much more efficiently than classical computing. As the quantum devices are expected to steadily scale up in the next few years, quantum decoherence and qubit interconnectivity are two of the major challenges to achieve quantum advantage in the NISQ era. QC is a highly topical and fast‐moving field of research with significant ongoing progress in all facets. A systematic review of the existing literature on QC will be invaluable to understand the state‐of‐the‐art of this emerging field and identify open challenges for the QC community to address in the coming years. This article presents a comprehensive review of QC literature and proposes taxonomy of QC. The proposed taxonomy is used to map various related studies to identify the research gaps. A detailed overview of quantum software tools and technologies, post‐quantum cryptography, and quantum computer hardware development captures the current state‐of‐the‐art in the respective areas. The article identifies and highlights various open challenges and promising future directions for research and innovation in QC.

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Section: Quantum and Post‐quantum Cryptographymentioning

confidence: 99%