Sustainable Cryptography

Cryptography is a fundamental tool for cybersecurity and privacy which must be protected for long periods of time. However, the security of most cryptographic algorithms relies on complexity assumptions that may become invalid over time. In this talk I di

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Tsuyoshi Takagi · Masato Wakayama · Keisuke Tanaka · Noboru Kunihiro · Kazufumi Kimoto · Yasuhiko Ikematsu   Editors

International Symposium on Mathematics, Quantum Theory, and Cryptography Proceedings of MQC 2019

Mathematics for Industry Volume 33

Aims & Scope The meaning of “Mathematics for Industry” (sometimes abbreviated as MI or MfI) is different from that of “Mathematics in Industry” (or of “Industrial Mathematics”). The latter is restrictive: it tends to be identified with the actual mathematics that specifically arises in the daily management and operation of manufacturing. The former, however, denotes a new research field in mathematics that may serve as a foundation for creating future technologies. This concept was born from the integration and reorganization of pure and applied mathematics in the present day into a fluid and versatile form capable of stimulating awareness of the importance of mathematics in industry, as well as responding to the needs of industrial technologies. The history of this integration and reorganization indicates that this basic idea will someday find increasing utility. Mathematics can be a key technology in modern society. The series aims to promote this trend by 1) providing comprehensive content on applications of mathematics, especially to industry technologies via various types of scientific research, 2) introducing basic, useful, necessary and crucial knowledge for several applications through concrete subjects, and 3) introducing new research results and developments for applications of mathematics in the real world. These points may provide the basis for opening a new mathematics-oriented technological world and even new research fields of mathematics. To submit a proposal or request further information, please use the PDF Proposal Form or contact directly: Swati Meherishi, Executive Editor ([email protected]). Editor-in-Chief Masato Wakayama, Kyushu University, Fukuoka, Japan Series Editors Robert S. Anderssen, Commonwealth Scientific and Industrial Research Organisation, Canberra, ACT, Australia Yuliy Baryshnikov, Department of Mathematics, University of Illinois at Urbana-Champaign, Urbana, IL, USA Heinz H. Bauschke, University of British Columbia, Vancouver, BC, Canada Philip Broadbridge, School of Engineering and Mathematical Sciences, La Trobe University, Melbourne, VIC, Australia Jin Cheng, Department of Mathematics, Fudan University, Shanghai, China Monique Chyba, Department of Mathematics, University of Hawaii at Mānoa, Honolulu, HI, USA Georges-Henri Cottet, Joseph Fourier University, Grenoble, Isère, France José Alberto Cuminato, University of São Paulo, São Paulo, Brazil Shin-ichiro Ei, Department of Mathematics, Hokkaido University, Sapporo, Japan Yasuhide Fukumoto, Kyushu University, Nishi-ku, Fukuoka, Japan Jonathan R. M. Hosking, IBM T.J. Watson Research Center, Scarsdale, NY, USA Alejandro Jofré, University of Chile, Santiago, Chile Masato Kimura, Faculty of Mathematics & Physics, Kanazawa University, Kanazawa, Japan Kerry Landman, The Univers