Topics in Computational Number Theory Inspired by Peter L. Montgomery

Topics in Computational Number Theory Inspired by Peter L. Montgomery PDF Author: Joppe W. Bos
Publisher: Cambridge University Press
ISBN: 1108666671
Category : Mathematics
Languages : en
Pages : 281

Get Book Here

Book Description
Peter L. Montgomery has made significant contributions to computational number theory, introducing many basic tools such as Montgomery multiplication, Montgomery simultaneous inversion, Montgomery curves, and the Montgomery ladder. This book features state-of-the-art research in computational number theory related to Montgomery's work and its impact on computational efficiency and cryptography. Topics cover a wide range of topics such as Montgomery multiplication for both hardware and software implementations; Montgomery curves and twisted Edwards curves as proposed in the latest standards for elliptic curve cryptography; and cryptographic pairings. This book provides a comprehensive overview of integer factorization techniques, including dedicated chapters on polynomial selection, the block Lanczos method, and the FFT extension for algebraic-group factorization algorithms. Graduate students and researchers in applied number theory and cryptography will benefit from this survey of Montgomery's work.

Topics in Computational Number Theory Inspired by Peter L. Montgomery

Topics in Computational Number Theory Inspired by Peter L. Montgomery PDF Author: Joppe W. Bos
Publisher: Cambridge University Press
ISBN: 1108666671
Category : Mathematics
Languages : en
Pages : 281

Get Book Here

Book Description
Peter L. Montgomery has made significant contributions to computational number theory, introducing many basic tools such as Montgomery multiplication, Montgomery simultaneous inversion, Montgomery curves, and the Montgomery ladder. This book features state-of-the-art research in computational number theory related to Montgomery's work and its impact on computational efficiency and cryptography. Topics cover a wide range of topics such as Montgomery multiplication for both hardware and software implementations; Montgomery curves and twisted Edwards curves as proposed in the latest standards for elliptic curve cryptography; and cryptographic pairings. This book provides a comprehensive overview of integer factorization techniques, including dedicated chapters on polynomial selection, the block Lanczos method, and the FFT extension for algebraic-group factorization algorithms. Graduate students and researchers in applied number theory and cryptography will benefit from this survey of Montgomery's work.

Topics in Computational Number Theory Inspired by Peter L. Montgomery

Topics in Computational Number Theory Inspired by Peter L. Montgomery PDF Author: Joppe W. Bos
Publisher:
ISBN: 9781108645768
Category :
Languages : en
Pages : 282

Get Book Here

Book Description
This book highlights the many ideas and algorithms that Peter L. Montgomery has contributed to computational number theory and cryptography.

Topics in Computational Number Theory Inspired by Peter L. Montgomery

Topics in Computational Number Theory Inspired by Peter L. Montgomery PDF Author: Joppe Bos W.. Arjen Lenstra K.
Publisher:
ISBN: 9781108547130
Category :
Languages : en
Pages :

Get Book Here

Book Description


Arithmetic of Finite Fields

Arithmetic of Finite Fields PDF Author: Sihem Mesnager
Publisher: Springer Nature
ISBN: 3031229444
Category : Computers
Languages : en
Pages : 353

Get Book Here

Book Description
This book constitutes the thoroughly refereed post-workshop proceedings of the 8th International Workshop on the Arithmetic of Finite Field, WAIFI 2022, held in Chengdu, China, in August – September 2022. The 19 revised full papers and 3 invited talks presented were carefully reviewed and selected from 25 submissions. The papers are organized in topical sections: structures in finite fields; efficient finite field arithmetic; coding theory; cryptography; sequences.

Emerging Security Algorithms and Techniques

Emerging Security Algorithms and Techniques PDF Author: Khaleel Ahmad
Publisher: CRC Press
ISBN: 1351021680
Category : Computers
Languages : en
Pages : 403

Get Book Here

Book Description
Cyber security is the protection of information systems, hardware, software, and information as well from theft, damages, interruption or misdirection to any of these resources. In other words, cyber security focuses on protecting computers, networks, programs and data (in use, in rest, in motion) from unauthorized or unintended access, change or destruction. Therefore, strengthening the security and resilience of cyberspace has become a vital homeland security mission. Cyber security attacks are growing exponentially. Security specialists must occupy in the lab, concocting new schemes to preserve the resources and to control any new attacks. Therefore, there are various emerging algorithms and techniques viz. DES, AES, IDEA, WAKE, CAST5, Serpent Algorithm, Chaos-Based Cryptography McEliece, Niederreiter, NTRU, Goldreich–Goldwasser–Halevi, Identity Based Encryption, and Attribute Based Encryption. There are numerous applications of security algorithms like cyber security, web security, e-commerce, database security, smart card technology, mobile security, cloud security, digital signature, etc. The book offers comprehensive coverage of the most essential topics, including: Modular Arithmetic, Finite Fields Prime Number, DLP, Integer Factorization Problem Symmetric Cryptography Asymmetric Cryptography Post-Quantum Cryptography Identity Based Encryption Attribute Based Encryption Key Management Entity Authentication, Message Authentication Digital Signatures Hands-On "SageMath" This book serves as a textbook/reference book for UG, PG, PhD students, Teachers, Researchers and Engineers in the disciplines of Information Technology, Computer Science and Engineering, and Electronics and Communication Engineering.

Advances in Cryptology – EUROCRYPT 2019

Advances in Cryptology – EUROCRYPT 2019 PDF Author: Yuval Ishai
Publisher: Springer
ISBN: 3030176568
Category : Computers
Languages : en
Pages : 787

Get Book Here

Book Description
The three volume-set LNCS 11476, 11477, and 11478 constitute the thoroughly refereed proceedings of the 38th Annual International Conference on the Theory and Applications of Cryptographic Techniques, EUROCRYPT 2019,held in Darmstadt, Germany, in May 2019. The 76 full papers presented were carefully reviewed and selected from 327 submissions. The papers are organized into the following topical sections: ABE and CCA security; succinct arguments and secure messaging; obfuscation; block ciphers; differential privacy; bounds for symmetric cryptography; non-malleability; blockchain and consensus; homomorphic primitives; standards; searchable encryption and ORAM; proofs of work and space; secure computation; quantum, secure computation and NIZK, lattice-based cryptography; foundations; efficient secure computation; signatures; information-theoretic cryptography; and cryptanalysis.

Post-Quantum Cryptography

Post-Quantum Cryptography PDF Author: Jintai Ding
Publisher: Springer Nature
ISBN: 3030442233
Category : Computers
Languages : en
Pages : 562

Get Book Here

Book Description
This volume constitutes the proceedings of the 11th International Conference on post-quantum cryptography, PQCrypto 2020, held in Paris, France in April 2020. The 29 full papers presented in this volume were carefully reviewed and selected from 86 submissions. They cover a broad spectrum of research within the conference's scope, including code-, hash-, isogeny-, and lattice-based cryptography, multivariate cryptography, and quantum cryptanalysis.

Security, Privacy, and Applied Cryptography Engineering

Security, Privacy, and Applied Cryptography Engineering PDF Author: Lejla Batina
Publisher: Springer Nature
ISBN: 3031228294
Category : Computers
Languages : en
Pages : 346

Get Book Here

Book Description
This book constitutes the refereed proceedings of the 12th International Conference on Security, Privacy, and Applied Cryptography Engineering, SPACE 2022 held in Jaipur, India, during December 9–12, 2022. The 18 full papers included in this book were carefully reviewed and selected from 61 submissions. They were organized in topical sections as follows: symmetric cryptography; public-key cryptography, post-quantum cryptography, zero knowledge proofs; hardware security and AI; and network security, authentication, and privacy.

Progress in Cryptology – LATINCRYPT 2019

Progress in Cryptology – LATINCRYPT 2019 PDF Author: Peter Schwabe
Publisher: Springer Nature
ISBN: 3030305309
Category : Computers
Languages : en
Pages : 386

Get Book Here

Book Description
This book constitutes the proceedings of the 6th International Conference on Cryptology and Security in Latin America, LATINCRYPT 2019, held in Santiago di Chile, Chile, in October 2019. The 18 revised full papers presented were carefully reviewed and selected from 40 submissions. The papers are organized in topical sections on cryptoanalysis, symmetric cryptography, ide-channel cryptography, post-quantum cryptography, signatures and protocols, and implementation.

Advances in Cryptology – EUROCRYPT 2021

Advances in Cryptology – EUROCRYPT 2021 PDF Author: Anne Canteaut
Publisher: Springer Nature
ISBN: 303077886X
Category : Computers
Languages : en
Pages : 937

Get Book Here

Book Description
The 3-volume-set LNCS 12696 – 12698 constitutes the refereed proceedings of the 40th Annual International Conference on the Theory and Applications of Cryptographic Techniques, Eurocrypt 2021, which was held in Zagreb, Croatia, during October 17-21, 2021. The 78 full papers included in these proceedings were accepted from a total of 400 submissions. They were organized in topical sections as follows: Part I: Best papers; public-key cryptography; isogenies; post-quantum cryptography; lattices; homomorphic encryption; symmetric cryptanalysis; Part II: Symmetric designs; real-world cryptanalysis; implementation issues; masking and secret-sharing; leakage, faults and tampering; quantum constructions and proofs; multiparty computation; Part III: Garbled circuits; indistinguishability obfuscation; non-malleable commitments; zero-knowledge proofs; property-preserving hash functions and ORAM; blockchain; privacy and law enforcement.