Studies in complexity and cryptography
miscellanea on the interplay between randomness and computation
Goldreich, Oded.
text
bibliography
conference publication
Electronic books.
Electronic books.
gw
Heidelberg
Springer
2011
monographic
eng
1 online resource (xi, 563 pages) : illustrations
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 These so far formally unpublished pieces were written by Oded Goldreich, some in collaboration with other scientists.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.
Research Contributions -- Finding the Shortest Move-Sequence in the Graph-Generalized 15-Puzzle Is NP-Hard.-Proving Computational Ability -- On Constructing 1-1 One-Way Functions -- On the Circuit Complexity of Perfect Hashing.-Collision-Free Hashing from Lattice Problems.-Another Proof That BPP [subset of or equal to] PH (and More) -- Strong Proofs of Knowledge -- Simplified Derandomization of BPP Using a Hitting Set Generator.-On Testing Expansion in Bounded-Degree Graphs.-Candidate One-Way Functions Based on Expander Graphs.-Using the FGLSS-Reduction to Prove Inapproximability Results for Minimum Vertex Cover in Hypergraphs.-The GGM Construction Does NOT Yield Correlation Intractable Function Ensembles.-From Logarithmic Advice to Single-Bit Advice.-On Probabilistic versus Deterministic Provers in the Definition of Proofs of Knowledge.-On the Average-Case Complexity of Property Testing.-A Candidate Counterexample to the Easy Cylinders Conjecture.-From Absolute Distinguishability to Positive Distinguishability.-Testing Graph Blow-Up.-Proximity Oblivious Testing and the Role of Invariances.-In a World of P=BPP.-Surveys -- Notes on Levin's Theory of Average-Case Complexity.-Three XOR-Lemmas -- An Exposition.-On Yao's XOR-Lemma.-A Sample of Samplers: A Computational Perspective on Sampling.-Short Locally Testable Codes and Proofs.-Bravely, Moderately: A Common Theme in Four Recent Works.-On the Complexity of Computational Problems Regarding Distributions.-Basing Non-Interactive Zero-Knowledge on (Enhanced) Trapdoor Permutations: The State of the Art.-Average Case Complexity, Revisited.-Basic Facts about Expander Graphs.-A Brief Introduction to Property Testing.-Introduction to Testing Graph Properties.-Randomness and Computation.-Programmatic and Reflective Articles -- On Security Preserving Reductions -- Revised Terminology.-Contemplations on Testing Graph Properties.-Another Motivation for Reducing the Randomness Complexity of Algorithms.-About the Authors.
Oded Goldreich, et al.
Includes bibliographical references and index.
English.
Computational complexity
Cryptography
Mathematics
Informatique
Computational complexity
Cryptography
Mathematics
QA267.7
511.3/52
Springer eBooks
Studies in Complexity and Cryptography
Springer-Verlag New York Inc 2011
(DLC) 2011932979
(OCoLC)740630180
Lecture notes in computer science ; 6650
LNCS sublibrary
SL 1
Theoretical computer science and general issues
Lecture notes in computer science
State-of-the-art survey
9783642226700
3642226701
2011932979
Springer
https://link-springer-com.libraryproxy.ist.ac.at/10.1007/978-3-642-22670-0
https://link-springer-com.libraryproxy.ist.ac.at/10.1007/978-3-642-22670-0
CUS
110801
20220128085828.0
ocn743792443
eng