Topics In Computational Number Theory Inspired By Peter L Montgomery

Download Topics In Computational Number Theory Inspired By Peter L Montgomery full books in PDF, epub, and Kindle. Read online Topics In Computational Number Theory Inspired By Peter L Montgomery ebook anywhere anytime directly on your device. Fast Download speed and no annoying ads. We cannot guarantee that every ebooks is available!

Topics in Computational Number Theory Inspired by Peter L. Montgomery

Author : Joppe W. Bos
Publisher : Cambridge University Press
ISBN 13 : 1108666671
Total Pages : 281 pages
Book Rating : 4.1/5 (86 download)

DOWNLOAD NOW!

Book Synopsis Topics in Computational Number Theory Inspired by Peter L. Montgomery by : Joppe W. Bos

Download or read book Topics in Computational Number Theory Inspired by Peter L. Montgomery written by Joppe W. Bos and published by Cambridge University Press. This book was released on 2017-10-12 with total page 281 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Author : Joppe Bos W.. Arjen Lenstra K.
Publisher :
ISBN 13 : 9781108547130
Total Pages : pages
Book Rating : 4.5/5 (471 download)

DOWNLOAD NOW!

Book Synopsis Topics in Computational Number Theory Inspired by Peter L. Montgomery by : Joppe Bos W.. Arjen Lenstra K.

Download or read book Topics in Computational Number Theory Inspired by Peter L. Montgomery written by Joppe Bos W.. Arjen Lenstra K. and published by . This book was released on 2017 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Topics in Computational Number Theory Inspired by Peter L. Montgomery

Author : Joppe W. Bos
Publisher :
ISBN 13 : 9781108645768
Total Pages : 282 pages
Book Rating : 4.6/5 (457 download)

DOWNLOAD NOW!

Book Synopsis Topics in Computational Number Theory Inspired by Peter L. Montgomery by : Joppe W. Bos

Download or read book Topics in Computational Number Theory Inspired by Peter L. Montgomery written by Joppe W. Bos and published by . This book was released on 2017 with total page 282 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book highlights the many ideas and algorithms that Peter L. Montgomery has contributed to computational number theory and cryptography.

Arithmetic of Finite Fields

Author : Sihem Mesnager
Publisher : Springer Nature
ISBN 13 : 3031229444
Total Pages : 353 pages
Book Rating : 4.0/5 (312 download)

DOWNLOAD NOW!

Book Synopsis Arithmetic of Finite Fields by : Sihem Mesnager

Download or read book Arithmetic of Finite Fields written by Sihem Mesnager and published by Springer Nature. This book was released on 2023-01-10 with total page 353 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Author : Khaleel Ahmad
Publisher : CRC Press
ISBN 13 : 1351021680
Total Pages : 403 pages
Book Rating : 4.3/5 (51 download)

DOWNLOAD NOW!

Book Synopsis Emerging Security Algorithms and Techniques by : Khaleel Ahmad

Download or read book Emerging Security Algorithms and Techniques written by Khaleel Ahmad and published by CRC Press. This book was released on 2019-05-20 with total page 403 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Post-Quantum Cryptography

Author : Jintai Ding
Publisher : Springer Nature
ISBN 13 : 3030442233
Total Pages : 562 pages
Book Rating : 4.0/5 (34 download)

DOWNLOAD NOW!

Book Synopsis Post-Quantum Cryptography by : Jintai Ding

Download or read book Post-Quantum Cryptography written by Jintai Ding and published by Springer Nature. This book was released on 2020-04-10 with total page 562 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Advances in Cryptology – EUROCRYPT 2019

Author : Yuval Ishai
Publisher : Springer
ISBN 13 : 3030176568
Total Pages : 787 pages
Book Rating : 4.0/5 (31 download)

DOWNLOAD NOW!

Book Synopsis Advances in Cryptology – EUROCRYPT 2019 by : Yuval Ishai

Download or read book Advances in Cryptology – EUROCRYPT 2019 written by Yuval Ishai and published by Springer. This book was released on 2019-05-14 with total page 787 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Security, Privacy, and Applied Cryptography Engineering

Author : Lejla Batina
Publisher : Springer Nature
ISBN 13 : 3031228294
Total Pages : 346 pages
Book Rating : 4.0/5 (312 download)

DOWNLOAD NOW!

Book Synopsis Security, Privacy, and Applied Cryptography Engineering by : Lejla Batina

Download or read book Security, Privacy, and Applied Cryptography Engineering written by Lejla Batina and published by Springer Nature. This book was released on 2022-12-06 with total page 346 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Author : Peter Schwabe
Publisher : Springer Nature
ISBN 13 : 3030305309
Total Pages : 386 pages
Book Rating : 4.0/5 (33 download)

DOWNLOAD NOW!

Book Synopsis Progress in Cryptology – LATINCRYPT 2019 by : Peter Schwabe

Download or read book Progress in Cryptology – LATINCRYPT 2019 written by Peter Schwabe and published by Springer Nature. This book was released on 2019-09-09 with total page 386 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Author : Anne Canteaut
Publisher : Springer Nature
ISBN 13 : 303077886X
Total Pages : 937 pages
Book Rating : 4.0/5 (37 download)

DOWNLOAD NOW!

Book Synopsis Advances in Cryptology – EUROCRYPT 2021 by : Anne Canteaut

Download or read book Advances in Cryptology – EUROCRYPT 2021 written by Anne Canteaut and published by Springer Nature. This book was released on 2021-06-16 with total page 937 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Security, Privacy, and Applied Cryptography Engineering

Author : Sk Subidh Ali
Publisher : Springer
ISBN 13 : 3319715011
Total Pages : 317 pages
Book Rating : 4.3/5 (197 download)

DOWNLOAD NOW!

Book Synopsis Security, Privacy, and Applied Cryptography Engineering by : Sk Subidh Ali

Download or read book Security, Privacy, and Applied Cryptography Engineering written by Sk Subidh Ali and published by Springer. This book was released on 2017-11-27 with total page 317 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 7th International Conference on Security, Privacy, and Applied Cryptography Engineering, SPACE 2017, held in Goa, India, in December 2017. The 13 revised full papers presented together with 1 short paper, 7 invited talks, and 4 tutorials were carefully reviewed and selected from 49 initial submissions. This annual event is devoted to various aspects of security, privacy, applied cryptography, and cryptographic engineering. This is indeed a very challenging field, requiring the expertise from diverse domains, ranging from mathematics to solid-state circuit design.

Computational Cryptography

Author : Joppe Bos
Publisher :
ISBN 13 : 1108848427
Total Pages : 402 pages
Book Rating : 4.1/5 (88 download)

DOWNLOAD NOW!

Book Synopsis Computational Cryptography by : Joppe Bos

Download or read book Computational Cryptography written by Joppe Bos and published by . This book was released on 2021-12-09 with total page 402 pages. Available in PDF, EPUB and Kindle. Book excerpt: The area of computational cryptography is dedicated to the development of effective methods in algorithmic number theory that improve implementation of cryptosystems or further their cryptanalysis. This book is a tribute to Arjen K. Lenstra, one of the key contributors to the field, on the occasion of his 65th birthday, covering his best-known scientific achievements in the field. Students and security engineers will appreciate this no-nonsense introduction to the hard mathematical problems used in cryptography and on which cybersecurity is built, as well as the overview of recent advances on how to solve these problems from both theoretical and practical applied perspectives. Beginning with polynomials, the book moves on to the celebrated Lenstra-Lenstra-Lovász lattice reduction algorithm, and then progresses to integer factorization and the impact of these methods to the selection of strong cryptographic keys for usage in widely used standards.

A Course in Computational Algebraic Number Theory

Author : Henri Cohen
Publisher : Springer Science & Business Media
ISBN 13 : 3662029456
Total Pages : 556 pages
Book Rating : 4.6/5 (62 download)

DOWNLOAD NOW!

Book Synopsis A Course in Computational Algebraic Number Theory by : Henri Cohen

Download or read book A Course in Computational Algebraic Number Theory written by Henri Cohen and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 556 pages. Available in PDF, EPUB and Kindle. Book excerpt: A description of 148 algorithms fundamental to number-theoretic computations, in particular for computations related to algebraic number theory, elliptic curves, primality testing and factoring. The first seven chapters guide readers to the heart of current research in computational algebraic number theory, including recent algorithms for computing class groups and units, as well as elliptic curve computations, while the last three chapters survey factoring and primality testing methods, including a detailed description of the number field sieve algorithm. The whole is rounded off with a description of available computer packages and some useful tables, backed by numerous exercises. Written by an authority in the field, and one with great practical and teaching experience, this is certain to become the standard and indispensable reference on the subject.

Number Theory for Computing

Author : Song Y. Yan
Publisher : Springer Science & Business Media
ISBN 13 : 366204773X
Total Pages : 454 pages
Book Rating : 4.6/5 (62 download)

DOWNLOAD NOW!

Book Synopsis Number Theory for Computing by : Song Y. Yan

Download or read book Number Theory for Computing written by Song Y. Yan and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 454 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a good introduction to the classical elementary number theory and the modern algorithmic number theory, and their applications in computing and information technology, including computer systems design, cryptography and network security. In this second edition proofs of many theorems have been provided, further additions and corrections were made.

An Invitation to Modern Number Theory

Author : Steven J. Miller
Publisher : Princeton University Press
ISBN 13 : 0691215979
Total Pages : pages
Book Rating : 4.6/5 (912 download)

DOWNLOAD NOW!

Book Synopsis An Invitation to Modern Number Theory by : Steven J. Miller

Download or read book An Invitation to Modern Number Theory written by Steven J. Miller and published by Princeton University Press. This book was released on 2020-08-04 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: In a manner accessible to beginning undergraduates, An Invitation to Modern Number Theory introduces many of the central problems, conjectures, results, and techniques of the field, such as the Riemann Hypothesis, Roth's Theorem, the Circle Method, and Random Matrix Theory. Showing how experiments are used to test conjectures and prove theorems, the book allows students to do original work on such problems, often using little more than calculus (though there are numerous remarks for those with deeper backgrounds). It shows students what number theory theorems are used for and what led to them and suggests problems for further research. Steven Miller and Ramin Takloo-Bighash introduce the problems and the computational skills required to numerically investigate them, providing background material (from probability to statistics to Fourier analysis) whenever necessary. They guide students through a variety of problems, ranging from basic number theory, cryptography, and Goldbach's Problem, to the algebraic structures of numbers and continued fractions, showing connections between these subjects and encouraging students to study them further. In addition, this is the first undergraduate book to explore Random Matrix Theory, which has recently become a powerful tool for predicting answers in number theory. Providing exercises, references to the background literature, and Web links to previous student research projects, An Invitation to Modern Number Theory can be used to teach a research seminar or a lecture class.

Elementary Number Theory: Primes, Congruences, and Secrets

Author : William Stein
Publisher : Springer Science & Business Media
ISBN 13 : 0387855254
Total Pages : 173 pages
Book Rating : 4.3/5 (878 download)

DOWNLOAD NOW!

Book Synopsis Elementary Number Theory: Primes, Congruences, and Secrets by : William Stein

Download or read book Elementary Number Theory: Primes, Congruences, and Secrets written by William Stein and published by Springer Science & Business Media. This book was released on 2008-10-28 with total page 173 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a book about prime numbers, congruences, secret messages, and elliptic curves that you can read cover to cover. It grew out of undergr- uate courses that the author taught at Harvard, UC San Diego, and the University of Washington. The systematic study of number theory was initiated around 300B. C. when Euclid proved that there are in?nitely many prime numbers, and also cleverly deduced the fundamental theorem of arithmetic, which asserts that every positive integer factors uniquely as a product of primes. Over a thousand years later (around 972A. D. ) Arab mathematicians formulated the congruent number problem that asks for a way to decide whether or not a given positive integer n is the area of a right triangle, all three of whose sides are rational numbers. Then another thousand years later (in 1976), Di?e and Hellman introduced the ?rst ever public-key cryptosystem, which enabled two people to communicate secretely over a public communications channel with no predetermined secret; this invention and the ones that followed it revolutionized the world of digital communication. In the 1980s and 1990s, elliptic curves revolutionized number theory, providing striking new insights into the congruent number problem, primality testing, publ- key cryptography, attacks on public-key systems, and playing a central role in Andrew Wiles’ resolution of Fermat’s Last Theorem.

Modern Computer Arithmetic

Author : Richard P. Brent
Publisher : Cambridge University Press
ISBN 13 : 9780521194693
Total Pages : 236 pages
Book Rating : 4.1/5 (946 download)

DOWNLOAD NOW!

Book Synopsis Modern Computer Arithmetic by : Richard P. Brent

Download or read book Modern Computer Arithmetic written by Richard P. Brent and published by Cambridge University Press. This book was released on 2010-11-25 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt: Modern Computer Arithmetic focuses on arbitrary-precision algorithms for efficiently performing arithmetic operations such as addition, multiplication and division, and their connections to topics such as modular arithmetic, greatest common divisors, the Fast Fourier Transform (FFT), and the computation of elementary and special functions. Brent and Zimmermann present algorithms that are ready to implement in your favorite language, while keeping a high-level description and avoiding too low-level or machine-dependent details. The book is intended for anyone interested in the design and implementation of efficient high-precision algorithms for computer arithmetic, and more generally efficient multiple-precision numerical algorithms. It may also be used in a graduate course in mathematics or computer science, for which exercises are included. These vary considerably in difficulty, from easy to small research projects, and expand on topics discussed in the text. Solutions are available from the authors.