Topics in Computational Number Theory Inspired free ebook download.

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Topics in Computational Number Theory Inspired free ebook download

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Mathematics

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Author(s):	Peter L. Montgomery

Date:	2017	Format:	pdf	Language:	English	ISBN/ASIN:	1107109353
Pages:	281	OCR:		Quality:		ISBN13:
Uploader:	eternal	Upload Date:	3/21/2024 2:51:44 AM

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1107109353 pdf
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.

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3244822	Book	https://nitroflare.com/view/A1D692BCFC6D...		4.00	eternal

Tags: Computational Inspired Number Theory Topics

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