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This open access book presents selected papers from International Symposium on Mathematics, Quantum Theory, and Cryptography (MQC), which was held on September 25-27, 2019 in Fukuoka, Japan. The international symposium MQC addresses the mathematics and quantum theory underlying secure modeling of the post quantum cryptography including e.g. mathematical study of the light-matter interaction models as well as quantum computing. The security of the most widely used RSA cryptosystem is based on the difficulty of factoring large integers. However, in 1994 Shor proposed a quantum polynomial time algorithm for factoring integers, and the RSA cryptosystem is no longer secure in the quantum computing model. This vulnerability has prompted research into post-quantum cryptography using alternative mathematical problems that are secure in the era of quantum computers. In this regard, the National Institute of Standards and Technology (NIST) began to standardize post-quantum cryptography in 2016. This book is suitable for postgraduate students in mathematics and computer science, as well as for experts in industry working on post-quantum cryptography.
Mathematical and Computational Engineering --- Data Structures and Information Theory --- Quantum Computing --- Systems and Data Security --- Mathematical and Computational Engineering Applications --- Data and Information Security --- Cryptography for Quantum Computers --- Post-quantum Cryptography --- Number Theory --- Representation Theory --- Quantum Physics --- Security Modelling --- Open Access --- Maths for engineers --- Algorithms & data structures --- Information theory --- Mathematical theory of computation --- Computer security --- Network security
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This open access book summarizes the research done and results obtained in the second funding phase of the Priority Program 1648 "Software for Exascale Computing" (SPPEXA) of the German Research Foundation (DFG) presented at the SPPEXA Symposium in Dresden during October 21-23, 2019. In that respect, it both represents a continuation of Vol. 113 in Springer’s series Lecture Notes in Computational Science and Engineering, the corresponding report of SPPEXA’s first funding phase, and provides an overview of SPPEXA’s contributions towards exascale computing in today's sumpercomputer technology. The individual chapters address one or more of the research directions (1) computational algorithms, (2) system software, (3) application software, (4) data management and exploration, (5) programming, and (6) software tools. The book has an interdisciplinary appeal: scholars from computational sub-fields in computer science, mathematics, physics, or engineering will find it of particular interest.
Simulation and Modeling --- Performance and Reliability --- Computational Science and Engineering --- Input/Output and Data Communications --- Mathematical and Computational Engineering --- Numerical and Computational Physics, Simulation --- Computer Science --- Computer Hardware --- Mathematical and Computational Engineering Applications --- Theoretical, Mathematical and Computational Physics --- open access --- computational algorithms and numerical methods --- data management and exploration --- high-performance computing --- simulation software and applications --- system software and software tools --- Computer modelling & simulation --- Systems analysis & design --- Maintenance & repairs --- Maths for scientists --- Computer networking & communications --- Distributed databases --- Maths for engineers --- Mathematical physics
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