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  • © 2011

Studies in Complexity and Cryptography

Miscellanea on the Interplay between Randomness and Computation

Editors:

  • High quality selected papers
  • Unique visibility
  • State of the art research

Part of the book series: Lecture Notes in Computer Science (LNCS, volume 6650)

Part of the book sub series: Theoretical Computer Science and General Issues (LNTCS)

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Table of contents (36 chapters)

  1. Front Matter

  2. Research Contributions

    1. Proving Computational Ability

      • Mihir Bellare, Oded Goldreich
      Pages 6-12
    2. On Constructing 1-1 One-Way Functions

      • Oded Goldreich, Leonid A. Levin, Noam Nisan
      Pages 13-25
    3. On the Circuit Complexity of Perfect Hashing

      • Oded Goldreich, Avi Wigderson
      Pages 26-29
    4. Collision-Free Hashing from Lattice Problems

      • Oded Goldreich, Shafi Goldwasser, Shai Halevi
      Pages 30-39
    5. Another Proof That \(\mathcal{BPP}\subseteq \mathcal{PH}\) (and More)

      • Oded Goldreich, David Zuckerman
      Pages 40-53
    6. Strong Proofs of Knowledge

      • Oded Goldreich
      Pages 54-58
    7. Simplified Derandomization of BPP Using a Hitting Set Generator

      • Oded Goldreich, Salil Vadhan, Avi Wigderson
      Pages 59-67
    8. On Testing Expansion in Bounded-Degree Graphs

      • Oded Goldreich, Dana Ron
      Pages 68-75
    9. From Logarithmic Advice to Single-Bit Advice

      • Oded Goldreich, Madhu Sudan, Luca Trevisan
      Pages 109-113
    10. From Absolute Distinguishability to Positive Distinguishability

      • Zvika Brakerski, Oded Goldreich
      Pages 141-155
    11. Testing Graph Blow-Up

      • Lidor Avigad, Oded Goldreich
      Pages 156-172
    12. Proximity Oblivious Testing and the Role of Invariances

      • Oded Goldreich, Tali Kaufman
      Pages 173-190

About this book

This book presents a collection of 36 pieces of scientific work in the areas of complexity theory and foundations of cryptography: 20 research contributions, 13 survey articles, and 3 programmatic and reflective viewpoint statements. These so far formally unpublished pieces were written by Oded Goldreich, some in collaboration with other scientists.
The articles included in this book essentially reflect the topical scope of the scientific career of Oded Goldreich now spanning three decades. In particular the topics dealt with include average-case complexity, complexity of approximation, derandomization, expander graphs, hashing functions, locally testable codes, machines that take advice, NP-completeness, one-way functions, probabilistically checkable proofs, proofs of knowledge, property testing, pseudorandomness, randomness extractors, sampling, trapdoor permutations, zero-knowledge, and non-iterative zero-knowledge.
All in all, this potpourri of studies in complexity and cryptography constitutes a most valuable contribution to the field of theoretical computer science centered around the personal achievements and views of one of its outstanding representatives.

Editors and Affiliations

  • Faculty of Mathematics and Computer Science, Weizmann Institute of Science, Rehovot, Israel

    Oded Goldreich

Bibliographic Information

Buy it now

Buying options

eBook USD 79.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 99.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access