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Complexity of Lattice Problems a Cryptographic Perspective by Daniele Micciancio

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Published by Springer US in Boston, MA .
Written in English

Subjects:

  • Computer engineering,
  • Information theory,
  • Computational complexity,
  • Data structures (Computer science),
  • Computer science

Book details:

About the Edition

The book presents a self-contained overview of the state of the art in the complexity of lattice problems, with particular emphasis on problems that are related to the construction of cryptographic functions. Specific topics covered are the strongest known inapproximability result for the shortest vector problem; the relations between this and other computational lattice problems; an exposition of how cryptographic functions can be built and prove secure based on worst-case hardness assumptions about lattice problems; and a study of the limits of non-approximability of lattice problems. Some background in complexity theory, but no prior knowledge about lattices, is assumed.

Edition Notes

Statementby Daniele Micciancio, Shafi Goldwasser
SeriesThe Springer International Series in Engineering and Computer Science -- 671, International series in engineering and computer science -- 671.
ContributionsGoldwasser, Shafi
Classifications
LC ClassificationsQA76.9.D35
The Physical Object
Format[electronic resource] :
Pagination1 online resource (x, 220 pages).
Number of Pages220
ID Numbers
Open LibraryOL27025502M
ISBN 101461352932, 1461508975
ISBN 109781461352938, 9781461508977
OCLC/WorldCa852791069

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The study of lattices, specifically from a computational point of view, was marked by two major breakthroughs: the development of the LLL lattice reduction algorithm by Lenstra, Lenstra and Lovasz in the early 80's, and Ajtai's discovery of a connection between the worst-case and average-case hardness of certain lattice problems in the late 90's. The book presents a self-contained overview of the state of the art in the complexity of lattice problems, with particular emphasis on problems that are related to the construction of cryptographic functions. Specific topics covered are the strongest known inapproximability result for the shortest vector problem; the relations between this and. Complexity of Lattice Problems: A Cryptographic Perspective (The Springer International Series in Engineering and Computer Science Book ) - Kindle edition by Daniele Micciancio, Shafi Goldwasser. Download it once and read it on your Kindle device, PC, phones or tablets. Use features like bookmarks, note taking and highlighting while reading Complexity of Lattice Problems: A Cryptographic Manufacturer: Springer. This book is about algorithmic problems on point lattices, and their computational complexity. In this chapter we give some background about lattices and complexity theory. View.

  The book presents a self-contained overview of the state of the art in the complexity of lattice problems, with particular emphasis on problems that are related to the construction of cryptographic functions. Specific topics covered are the strongest known inapproximability result for the Price: $ Complexity of Lattice Problems: A Cryptographic Perspective - Ebook written by Daniele Micciancio, Shafi Goldwasser. Read this book using Google Play Books app on your PC, android, iOS devices. Download for offline reading, highlight, bookmark or take notes while you read Complexity of Lattice Problems: A Cryptographic Perspective. Introductory chapters and surveys on lattice cryptography: Introductory chapter on lattices from "Complexity of Lattice problems: a cryptographic perspective" (). The rest of the book is a bit out of date, but still a good introduction to the subject. Survey chapter on Lattice-Based Cryptography from "Post Quantum Cryptography" (). "Complexity of Lattice Problems: A Cryptographic Perspective is an essential reference for those researching ways in which lattice problems can be used to build cryptographic systems. It will also be of interest to those working in computational complexity, combinatorics, and foundations of cryptography."- .

Submit your book and we will publish it for free. Complexity of Lattice Problems: A Cryptographic Perspective (The Springer International Series in Engineering and Computer Science) Pdf. Download Link. E-Book Review and Description. The study of lattices, specifically from a computational point of view, was marked by two major breakthroughs: the development of the LLL lattice reduction algorithm by Lenstra, Lenstra and Lovasz in the early 80’s, and Ajtai’s discovery of a connection between the worst-case and average-case hardness of certain lattice problems in the late.   The Paperback of the Complexity of Lattice Problems: A Cryptographic Perspective by Daniele Micciancio, Shafi Goldwasser | at Barnes & Noble. FREE Due Author: Daniele Micciancio. Get this from a library! Complexity of Lattice Problems: a Cryptographic Perspective. [Daniele Micciancio; Shafi Goldwasser] -- The book presents a self-contained overview of the state of the art in the complexity of lattice problems, with particular emphasis on problems that are related to the construction of cryptographic.