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Mathematics of Post-quantum Cryptography

Tsuyoshi Takagi, Kirill Morozov, Dung Hoang Duong (Autoren)

Buch | Hardcover

300 Seiten

2021 | 1st ed. 2021
Springer Verlag, Japan
978-4-431-55015-0 (ISBN)

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This book offers an introduction to post-quantum cryptography for students, engineers and researchers in the field of information security. Above all, it describes the mathematical concepts underlying the security of post-quantum cryptographic schemes. The first part of the book provides essential background information by briefly introducing the core elements of quantum computation and presenting Shor's algorithm, which solves the factoring problem and the discrete logarithm problem in polynomial time. In turn, the second part presents a number of candidates for post-quantum public-key encryption and digital signature schemes. The security of these schemes is based on mathematical problems in coding theory, multivariate quadratic equations, and lattices, respectively. The book provides an essential guide for students, researchers and engineers, helping them to quickly grasp this highly promising area of cryptography.

Background.- Quantum algorithms: Shor's and its impact on solving factoring and discrete logarithm problems.- Grover's (high-level description) and its impact on solving decoding, multivariate quadratic equations and lattice problems.

Erscheint lt. Verlag	11.8.2021
Reihe/Serie	Mathematics for Industry ; 8
Zusatzinfo	10 Illustrations, color; 50 Illustrations, black and white; 300 p. 60 illus., 10 illus. in color.
Verlagsort	Tokyo
Sprache	englisch
Maße	155 x 235 mm
Themenwelt	Informatik ► Theorie / Studium ► Kryptologie
	Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
	Naturwissenschaften ► Physik / Astronomie ► Quantenphysik
	Technik ► Bauwesen
Schlagworte	code-based cryptography • Lattice-based cryptography • multivariate cryptography • Postquantum Cryptography • Resistance to Quantum Attacks
ISBN-10	4-431-55015-1 / 4431550151
ISBN-13	978-4-431-55015-0 / 9784431550150
Zustand	Neuware