A Decade of Lattice Cryptography

A Decade of Lattice Cryptography
Author: Chris Peikert
Publisher:
Total Pages: 156
Release: 2016-03-07
Genre: Computer networks
ISBN: 9781680831122


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Surveys most of the major developments in lattice cryptography over the past ten years. The main focus is on the foundational short integer solution (SIS) and learning with errors (LWE) problems, their provable hardness assuming the worst-case intractability of standard lattice problems, and their many cryptographic applications.

Lattice-Based Cryptosystems

Lattice-Based Cryptosystems
Author: Jiang Zhang
Publisher: Springer Nature
Total Pages: 174
Release: 2020-10-14
Genre: Computers
ISBN: 9811584273


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This book focuses on lattice-based cryptosystems, widely considered to be one of the most promising post-quantum cryptosystems and provides fundamental insights into how to construct provably secure cryptosystems from hard lattice problems. The concept of provable security is used to inform the choice of lattice tool for designing cryptosystems, including public-key encryption, identity-based encryption, attribute-based encryption, key change and digital signatures. Given its depth of coverage, the book especially appeals to graduate students and young researchers who plan to enter this research area.

Lattices and their application in Cryptography

Lattices and their application in Cryptography
Author: Merve Cakir
Publisher: GRIN Verlag
Total Pages: 41
Release: 2017-01-23
Genre: Computers
ISBN: 3668384258


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Bachelor Thesis from the year 2014 in the subject Engineering - Computer Engineering, grade: 1,0, Hamburg University of Technology (Institut für Eingebettete Systeme), language: English, abstract: The aim of this thesis is to identify the characteristics of lattice-based cryptosystems. The use of encryption and signature schemes can be insecure considering attacks by a quantum computer and inefficient in the computation time. An alternative cryptography is proposed, which is based on worst-case lattice problems. The security and the hardness of the underlying computational problems will be analyzed by providing collaboration between the linear-algebra, complexity-theory and the public-key cryptography.

Lattice-Based Cryptography

Lattice-Based Cryptography
Author: Jonathan Katz
Publisher: CRC Press
Total Pages: 300
Release: 2018-06-15
Genre:
ISBN: 9781498763479


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The main focus of the book will graduate level courses on the techniques used in obtaining lattice-based cryptosystems. The book will first cover the basics of lattices and then introduce the more advanced material (e.g. Gaussian distributions, sampling, algebraic number theory, etc.) in a "natural" way, motivated by cryptographic constructions. There will also be a fair amount of mathematics that will be introduced gradually and will be motivated by cryptographic constructions.

Modern Cryptography, Probabilistic Proofs and Pseudorandomness

Modern Cryptography, Probabilistic Proofs and Pseudorandomness
Author: Oded Goldreich
Publisher: Springer Science & Business Media
Total Pages: 192
Release: 2013-03-09
Genre: Mathematics
ISBN: 3662125218


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Cryptography is one of the most active areas in current mathematics research and applications. This book focuses on cryptography along with two related areas: the study of probabilistic proof systems, and the theory of computational pseudorandomness. Following a common theme that explores the interplay between randomness and computation, the important notions in each field are covered, as well as novel ideas and insights.

Modern Cryptography Volume 1

Modern Cryptography Volume 1
Author: Zhiyong Zheng
Publisher: Springer Nature
Total Pages: 364
Release: 2022
Genre: Computer science
ISBN: 9811909202


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This open access book systematically explores the statistical characteristics of cryptographic systems, the computational complexity theory of cryptographic algorithms and the mathematical principles behind various encryption and decryption algorithms. The theory stems from technology. Based on Shannon's information theory, this book systematically introduces the information theory, statistical characteristics and computational complexity theory of public key cryptography, focusing on the three main algorithms of public key cryptography, RSA, discrete logarithm and elliptic curve cryptosystem. It aims to indicate what it is and why it is. It systematically simplifies and combs the theory and technology of lattice cryptography, which is the greatest feature of this book. It requires a good knowledge in algebra, number theory and probability statistics for readers to read this book. The senior students majoring in mathematics, compulsory for cryptography and science and engineering postgraduates will find this book helpful. It can also be used as the main reference book for researchers in cryptography and cryptographic engineering areas. [Resumen de la editorial]

Cryptography and Lattices

Cryptography and Lattices
Author: Joseph H. Silverman
Publisher: Springer
Total Pages: 226
Release: 2003-06-30
Genre: Computers
ISBN: 3540446702


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This book constitutes the thoroughly refereed post-proceedings of the International Conference on Cryptography and Lattices, CaLC 2001, held in Providence, RI, USA in March 2001. The 14 revised full papers presented together with an overview paper were carefully reviewed and selected for inclusion in the book. All current aspects of lattices and lattice reduction in cryptography, both for cryptographic construction and cryptographic analysis, are addressed.

Applied Cryptography and Network Security

Applied Cryptography and Network Security
Author: Dieter Gollmann
Publisher: Springer
Total Pages: 714
Release: 2017-06-23
Genre: Computers
ISBN: 3319612042


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This book constitutes the proceedings of the 15th International Conference on Applied Cryptology and Network Security, ACNS 2017, held in Kanazawa, Japan, in July 2017. The 34 papers presented in this volume were carefully reviewed and selected from 149 submissions. The topics focus on innovative research and current developments that advance the areas of applied cryptography, security analysis, cyber security and privacy, data and server security.

Post-Quantum Cryptography

Post-Quantum Cryptography
Author: Daniel J. Bernstein
Publisher: Springer Science & Business Media
Total Pages: 246
Release: 2009-02-01
Genre: Mathematics
ISBN: 3540887024


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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.

Applied Cryptography and Network Security

Applied Cryptography and Network Security
Author: Giuseppe Ateniese
Publisher: Springer Nature
Total Pages: 916
Release: 2022-06-17
Genre: Computers
ISBN: 3031092341


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The LNCS volume 13269 constitutes the proceedings of the 20th International Conference on Applied Cryptography and Network Security, ACNS 2022, which will take place in a hybrid mode in Rome, Italy in June 2022. The 44 full papers together with 5 short papers presented in this proceeding were carefully reviewed and selected from a total of 185 submissions. They were organized in topical sections as follows: Encryption, Attacks, Cryptographic Protocols, System Security., Cryptographic Primitives, MPC, Blockchain, Block-Cyphers, and Post-Quantum Cryptography.