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Author: Joppe W. Bos Publisher: Cambridge University Press ISBN: 1108666671 Category : Mathematics Languages : en Pages : 281
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.
Author: Joppe W. Bos Publisher: Cambridge University Press ISBN: 1108666671 Category : Mathematics Languages : en Pages : 281
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.
Author: Joppe W. Bos Publisher: ISBN: 9781108645768 Category : Languages : en Pages : 282
Book Description
This book highlights the many ideas and algorithms that Peter L. Montgomery has contributed to computational number theory and cryptography.
Author: Joppe W. Bos Publisher: Cambridge University Press ISBN: 1107109353 Category : Mathematics Languages : en Pages : 281
Book Description
This book highlights the many ideas and algorithms that Peter L. Montgomery has contributed to computational number theory and cryptography.
Author: Henri Cohen Publisher: Springer Science & Business Media ISBN: 1441984895 Category : Mathematics Languages : en Pages : 591
Book Description
Written by an authority with great practical and teaching experience in the field, this book addresses a number of topics in computational number theory. Chapters one through five form a homogenous subject matter suitable for a six-month or year-long course in computational number theory. The subsequent chapters deal with more miscellaneous subjects.
Author: Sihem Mesnager Publisher: Springer Nature ISBN: 3031229444 Category : Computers Languages : en Pages : 353
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.
Author: Jintai Ding Publisher: Springer Nature ISBN: 3030442233 Category : Computers Languages : en Pages : 562
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.
Author: Khaleel Ahmad Publisher: CRC Press ISBN: 1351021699 Category : Computers Languages : en Pages : 318
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.
Author: Yuval Ishai Publisher: Springer ISBN: 3030176568 Category : Computers Languages : en Pages : 787
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.
Author: Lejla Batina Publisher: Springer Nature ISBN: 3031228294 Category : Computers Languages : en Pages : 346
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.
Author: Joppe W. Bos
Author: Joppe W. Bos
Author: Joppe Bos W.. Arjen Lenstra K.
Author: Joppe W. Bos
Author: Joppe W. Bos
Author: Henri Cohen
Author: Sihem Mesnager
Author: Jintai Ding
Author: Khaleel Ahmad
Author: Yuval Ishai
Author: Lejla Batina