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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 2527, 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 lightmatter 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 postquantum 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 postquantum cryptography in 2016. This book is suitable for postgraduate students in mathematics and computer science, as well as for experts in industry working on postquantum 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  Postquantum 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 2123, 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 subfields 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  highperformance 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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