A Decade Of Lattice Cryptography


A Decade Of Lattice Cryptography
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A Decade Of Lattice Cryptography


A Decade Of Lattice Cryptography
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Author : Chris Peikert
language : en
Publisher:
Release Date : 2016-03-07

A Decade Of Lattice Cryptography written by Chris Peikert and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-03-07 with Computer networks categories.


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
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Author : Jiang Zhang
language : en
Publisher: Springer Nature
Release Date : 2020-10-14

Lattice Based Cryptosystems written by Jiang Zhang and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-10-14 with Computers categories.


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.



Lattice Based Cryptography


Lattice Based Cryptography
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Author : Jonathan Katz
language : en
Publisher: CRC Press
Release Date : 2018-06-15

Lattice Based Cryptography written by Jonathan Katz and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-06-15 with categories.


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.



Post Quantum Cryptography


Post Quantum Cryptography
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Author : Johannes Buchmann
language : en
Publisher: Springer
Release Date : 2008-10-09

Post Quantum Cryptography written by Johannes Buchmann and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-10-09 with Computers categories.


This book constitutes the refereed proceedings of the Second International Workshop on Post-Quantum Cryptography, PQCrypto 2008, held in Cincinnati, OH, USA, in October 2008. The 15 revised full papers presented were carefully reviewed and selected from numerous submissions. Quantum computers are predicted to break existing public key cryptosystems within the next decade. Post-quantum cryptography is a new fast developing area, where public key schemes are studied that could resist these emerging attacks. The papers present four families of public key cryptosystems that have the potential to resist quantum computers: the code-based public key cryptosystems, the hash-based public key cryptosystems, the lattice-based public key cryptosystems and the multivariate public key cryptosystems.



Cryptography And Lattices


Cryptography And Lattices
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Author : Joseph H. Silverman
language : en
Publisher: Springer
Release Date : 2003-06-30

Cryptography And Lattices written by Joseph H. Silverman and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-06-30 with Computers categories.


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.



Lattice Based Cryptography


Lattice Based Cryptography
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Author : Máire O'Neill
language : en
Publisher: Springer
Release Date : 2024-10-11

Lattice Based Cryptography written by Máire O'Neill and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-10-11 with Computers categories.


Lattice-based cryptography is a promising post-quantum cryptographic approach that can withstand potential attacks from future quantum computers. This book will introduce the theoretical mathematics that underpins lattice-based cryptography, such as the hard problems based on lattices upon which the security of lattice-based cryptosystems rely. It will provide examples of how these hard problems can be used to build basic lattice-based cryptographic primitives, namely encryption, digital signatures and key exchange, in addition to more advanced primitives such as identity-based encryption (IBE), attribute-based encryption (ABE) and hierarchical identity-based encryption (HIBE). Subsequently, the practical aspects of designing efficient and robust lattice-based cryptosystems in both hardware and software will be detailed. The resilience of lattice-based implementations to physical attacks will be discussed in addition to appropriate countermeasures that can be integrated into implementations to defend against such attacks. Finally, three case studies will be described to illustrate how lattice-based cryptography can be successfully embedded into real-world scenarios.



Post Quantum Cryptography


Post Quantum Cryptography
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Author : Tanja Lange
language : en
Publisher: Springer
Release Date : 2017-06-14

Post Quantum Cryptography written by Tanja Lange and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-06-14 with Computers categories.


This book constitutes the refereed proceedings of the 8th International Workshop on Post-Quantum Cryptography, PQCrypto 2017, held in Utrecht, The Netherlands, in June 2017. The 23 revised full papers presented were carefully reviewed and selected from 67 submissions. The papers are organized in topical sections on code-based cryptography, isogeny-based cryptography, lattice-based cryptography, multivariate cryptography, quantum algorithms, and security models.



Modern Cryptography Volume 2


Modern Cryptography Volume 2
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Author : Zhiyong Zheng
language : en
Publisher: Springer Nature
Release Date : 2022-12-10

Modern Cryptography Volume 2 written by Zhiyong Zheng and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-12-10 with Business & Economics categories.


This open access book covers the most cutting-edge and hot research topics and fields of post-quantum cryptography. The main purpose of this book is to focus on the computational complexity theory of lattice ciphers, especially the reduction principle of Ajtai, in order to fill the gap that post-quantum ciphers focus on the implementation of encryption and decryption algorithms, but the theoretical proof is insufficient. In Chapter 3, Chapter 4 and Chapter 6, author introduces the theory and technology of LWE distribution, LWE cipher and homomorphic encryption in detail. When using random analysis tools, there is a problem of "ambiguity" in both definition and algorithm. The greatest feature of this book is to use probability distribution to carry out rigorous mathematical definition and mathematical demonstration for various unclear or imprecise expressions, so as to make it a rigorous theoretical system for classroom teaching and dissemination. Chapters 5 and 7 further expand and improve the theory of cyclic lattice, ideal lattice and generalized NTRU cryptography. This book is used as a professional book for graduate students majoring in mathematics and cryptography, as well as a reference book for scientific and technological personnel engaged in cryptography research.



Public Key Cryptography Pkc 2024


Public Key Cryptography Pkc 2024
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Author : Qiang Tang
language : en
Publisher: Springer Nature
Release Date :

Public Key Cryptography Pkc 2024 written by Qiang Tang and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.




Public Key Cryptography Pkc 2021


Public Key Cryptography Pkc 2021
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Author : Juan A. Garay
language : en
Publisher: Springer Nature
Release Date : 2021-04-30

Public Key Cryptography Pkc 2021 written by Juan A. Garay and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-04-30 with Computers categories.


The two-volume proceedings set LNCS 12710 and 12711 constitutes the proceedings of the 24th IACR International Conference on Practice and Theory of Public Key Cryptography, PKC 2021, which was held online during May 10-13, 2021. The conference was originally planned to take place in Edinburgh, UK, but had to change to an online format due to the COVID-19 pandemic. The 52 papers included in these proceedings were carefully reviewed and selected from 156 submissions. They focus on all aspects of public-key cryptography, covering theory, implementations and applications. This year, post-quantum cryptography, PQC constructions and cryptanalysis received special attention.