Post-Quantum Cryptography

By: Daniel J. Bernstein (Editor), Johannes Buchmann (Editor), Erik Dahmen (Editor)

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Hardcover | 19 November 2008 | Edition Number 2009

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256 Pages

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24.2 x 16.9 x 2.1

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Quantum computers will break today's most popular public-key cryptographic systems, including RSA, DSA, and ECDSA. This book introduces the reader to the next generation of cryptographic algorithms, the systems that resist quantum-computer attacks: in particular, post-quantum public-key encryption systems and post-quantum public-key signature systems.

Leading experts have joined forces for the first time to explain the state of the art in quantum computing, hash-based cryptography, code-based cryptography, lattice-based cryptography, and multivariate cryptography. Mathematical foundations and implementation issues are included.

This book is an essential resource for students and researchers who want to contribute to the field of post-quantum cryptography.

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You Can Find This Book In

Non-Fiction Reference, Information & Interdisciplinary Subjects Interdisciplinary Studies Communication Studies Research & Information Coding Theory & Cryptology Mathematics Number Theory Computing & I.T.Computer Science Computer Security Data Encryption

Databases Data Capture & Analysis Applied Mathematics Engineering & Technology Technology in General Engineering in General Maths for Engineers

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Published: 19th October 2010

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Introduction to post-quantum cryptography	p. 1
Is cryptography dead?	p. 1
A taste of post-quantum cryptography	p. 6
Challenges in post-quantum cryptography	p. 11
Comparison to quantum cryptography	p. 13
Quantum Computing	p. 15
Classical cryptography and quantum Computing	p. 15
The computational model	p. 19
The quantum Fourier transform	p. 22
The hidden subgroup problem	p. 25
Search algorithms	p. 29
Outlook	p. 31
References	p. 32
Hash-based Digital Signature Schemes	p. 35
Hash based one-time signature schemes	p. 36
Merkle's tree authentication scheme	p. 40
One-time key-pair generation using an PRNG	p. 44
Authentication path computation	p. 46
Tree chaining	p. 69
Distributed signature generation	p. 73
Security of the Merkle Signature Scheme	p. 81
References	p. 91
Code-based cryptography	p. 95
Introduction	p. 95
Cryptosystems	p. 96
The security of Computing Syndromes as one-way function	p. 106
Codes and structures	p. 116
Practical aspects	p. 127
Annex	p. 137
References	p. 141
Lattice-based Cryptography	p. 147
Introduction	p. 147
Preliminaries	p. 152
Finding Short Vectors in Random q-ary Lattices	p. 154
Hash Functions	p. 157
Public Key Encryption Schemes	p. 165
Digital Signature Schemes	p. 180
Other Cryptographic Primitives	p. 185
Open Questions	p. 186
References	p. 187
Multivariate Public Key Cryptography	p. 193
Introduction	p. 193
The Basics of Multivariate PKCs	p. 194
Examples of Multivariate PKCs	p. 198
Basic Constructions and Variations	p. 202
Standard Attacks	p. 215
The Future	p. 229
References	p. 234
Index	p. 243
Table of Contents provided by Publisher. All Rights Reserved.

Post-Quantum Cryptography

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Hardcover

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