A decade of lattice cryptography

著者

    • Peikert, Chris

書誌事項

A decade of lattice cryptography

Chris Peikert

(Foundations and trends in theoretical computer science, 10:4)

now, c2016

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注記

Includes bibliographical references: p. 133-146

内容説明・目次

内容説明

Lattice-based cryptography is the use of conjectured hard problems on point lattices in Rn as the foundation for secure cryptographic systems. Attractive features of lattice cryptography include apparent resistance to quantum attacks (in contrast with most number-theoretic cryptography), high asymptotic efficiency and parallelism, security under worst-case intractability assumptions, and solutions to long-standing open problems in cryptography. This monograph surveys most of the major developments in lattice cryptography over the past ten years. The main focus is on the foundational short integer solution (SIS) and learning with errors (LWE) problems (and their more efficient ring-based variants), their provable hardness assuming the worst-case intractability of standard lattice problems, and their many cryptographic applications.

目次

1: Introduction 2: Background 3: Early Results 4: Modern Foundations 5: Essential Cryptographic Constructions 6: Advanced Constructions 7: Open Questions Acknowledgements References

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詳細情報

  • NII書誌ID(NCID)
    BC06509100
  • ISBN
    • 9781680831122
  • 出版国コード
    us
  • タイトル言語コード
    eng
  • 本文言語コード
    eng
  • 出版地
    Hanover
  • ページ数/冊数
    x, 146 p.
  • 大きさ
    24 cm
  • 親書誌ID
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