Overview
- Includes selected papers by leading researchers
- Presents the latest research on post-quantum cryptography
- Enhances understanding of the mathematical background
Part of the book series: Mathematics for Industry (MFI, volume 33)
Included in the following conference series:
Conference proceedings info: MQC 2019.
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Table of contents (19 papers)
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Front Matter
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Quantum Computing and Information Theory
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Front Matter
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Topics in Mathematics
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Front Matter
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Keywords
About this book
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 standardizepost-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.
Editors and Affiliations
About the editors
Prof. Wakayama is a Professor of Mathematics, Vice President at Tokyo University of Science (TUS) and Principal Fellow at Center for Research and Development Strategy, Japan Science and Technology Agency (CRDS/JST). He is also Professor Emeritus at Kyushu University. He obtained Ph.D. from Hiroshima University in 1985. His research interests include Representation Theory, Number Theory and Mathematical Physics, and has published over 100 referred research papers. He has contributed his experience and expertise to both academic works and university administration. His current appointments include Chair of Asia Pacific Consortium of Mathematics for Industry (2014-). He is the Editor-in-Chief of the Springer series “Mathematics for Industry”.
Prof. Takagi received his B.Sc. and M.Sc. degrees in mathematics from Nagoya University in 1993 and 1995, respectively. He was engaged in research on network security at NTT Laboratories from 1995 to 2001. He received his Ph.D. from Technical University of Darmstadt in 2001. He is currently a Professor in the Graduate School of Information Science and Technology at University of Tokyo. His current research interests are information security and cryptography. He received DOCOMO Mobile Science Award in 2013, IEICE Achievement Award in 2013, and JSPS Prize in 2014. Dr. Takagi was a Program Chair of the 7th International Conference on Post-Quantum Cryptography, PQCrypto 2016.Prof. Tanaka is a Professor in the School of Computing at Tokyo Institute of Technology. He received his B.S. from Yamanashi University in 1992, and his M.S. and Ph.D. in Computer Science from Japan Advanced Institute of Science and Technology in 1994 and 1997, respectively. Before joining Tokyo Institute of Technology, he was Research Engineer at NTT Information Platform Laboratories. His research interests include theory of cryptography, cryptocurrency and blockchain technology, and cybersecurity.
Prof. Kunihiro received his B. E., M. E. and Ph.D. in Mathematical Engineering and Information Physics from the University of Tokyo in 1994, 1996 and 2001, respectively. He has been a professor of University of Tsukuba since 2019. He was a researcher of NTT Communication Science Laboratories from 1996 to 2002. He was an associate professor of the University of Electro-Communications from 2002 to 2008. He was an associate professor of the University of Tokyo from 2008 to 2019. His research interest includes cryptography, information security.
Prof. Kimoto received his Ph.D in Mathematics from Kyushu University in 2003. He was an assistant professor of the University of the Ryukyus from October 2003 to December 2010. He was an associate professor of the University of the Ryukyus from January 2011 to March 2015. He has been a professor of the University of the Ryukyus since April 2015. His research interest includes representation theory, number theory, and combinatorics.
Prof. Ikematsu received his Ph.D. in Mathematics in 2016 from Kyushu University. He was a research fellow at the Institute of Mathematics for Industry, Kyushu University from 2016 to 2018 and in Department of Mathematical Informatics, University of Tokyo from April to December in 2018. He is currently an assistant professor in Institute of Mathematics for Industry, Kyushu University. His research interests include number theory and multivariate cryptography.
Bibliographic Information
Book Title: International Symposium on Mathematics, Quantum Theory, and Cryptography
Book Subtitle: Proceedings of MQC 2019
Editors: Tsuyoshi Takagi, Masato Wakayama, Keisuke Tanaka, Noboru Kunihiro, Kazufumi Kimoto, Yasuhiko Ikematsu
Series Title: Mathematics for Industry
DOI: https://doi.org/10.1007/978-981-15-5191-8
Publisher: Springer Singapore
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: The Editor(s) (if applicable) and The Author(s) 2021
Hardcover ISBN: 978-981-15-5190-1Published: 23 October 2020
Softcover ISBN: 978-981-15-5193-2Published: 24 October 2021
eBook ISBN: 978-981-15-5191-8Published: 22 October 2020
Series ISSN: 2198-350X
Series E-ISSN: 2198-3518
Edition Number: 1
Number of Pages: XII, 274
Number of Illustrations: 40 b/w illustrations, 23 illustrations in colour
Topics: Mathematical and Computational Engineering, Data Structures and Information Theory, Quantum Computing, Systems and Data Security