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CORR
2002
Springer
115views Education» more  CORR 2002»
13 years 10 months ago
Average-case complexity and decision problems in group theory
Abstract. We investigate the average-case complexity of decision problems for finitely generated groups, in particular the word and membership problems. Using our recent results on...
Ilya Kapovich, Alexei G. Myasnikov, Paul Schupp, V...
ECCC
2007
99views more  ECCC 2007»
13 years 10 months ago
On the Average-Case Complexity of Property Testing
Abstract. Motivated by a study of Zimand (22nd CCC, 2007), we consider the average-case complexity of property testing (focusing, for clarity, on testing properties of Boolean stri...
Oded Goldreich
STACS
2000
Springer
14 years 2 months ago
Average-Case Quantum Query Complexity
Abstract. We compare classical and quantum query complexities of total Boolean functions. It is known that for worst-case complexity, the gap between quantum and classical can be a...
Andris Ambainis, Ronald de Wolf
FSTTCS
2006
Springer
14 years 2 months ago
Some Results on Average-Case Hardness Within the Polynomial Hierarchy
Abstract. We prove several results about the average-case complexity of problems in the Polynomial Hierarchy (PH). We give a connection among average-case, worst-case, and non-unif...
Aduri Pavan, Rahul Santhanam, N. V. Vinodchandran
FSTTCS
1992
Springer
14 years 3 months ago
Structural Average Case Complexity
Levin introduced an average-case complexity measure, based on a notion of \polynomialon average," and de ned \average-case polynomial-time many-one reducibility" amongra...
Rainer Schuler, Tomoyuki Yamakami
CSL
2004
Springer
14 years 4 months ago
Notions of Average-Case Complexity for Random 3-SAT
By viewing random 3-SAT as a distributional problem, we go over some of the notions of average-case complexity that were considered in the literature. We note that for dense formul...
Albert Atserias
STACS
2005
Springer
14 years 4 months ago
Worst-Case and Average-Case Approximations by Simple Randomized Search Heuristics
Abstract. In recent years, probabilistic analyses of algorithms have received increasing attention. Despite results on the average-case complexity and smoothed complexity of exact ...
Carsten Witt
INDOCRYPT
2007
Springer
14 years 5 months ago
Linearization Attacks Against Syndrome Based Hashes
Abstract. In MyCrypt 2005, Augot, Finiasz, and Sendrier proposed FSB, a family of cryptographic hash functions. The security claim of the FSB hashes is based on a coding theory pro...
Markku-Juhani Olavi Saarinen
APPROX
2007
Springer
104views Algorithms» more  APPROX 2007»
14 years 5 months ago
Worst-Case to Average-Case Reductions Revisited
Abstract. A fundamental goal of computational complexity (and foundations of cryptography) is to find a polynomial-time samplable distribution (e.g., the uniform distribution) and...
Dan Gutfreund, Amnon Ta-Shma
ICALP
2009
Springer
14 years 11 months ago
The Number of Symbol Comparisons in QuickSort and QuickSelect
Abstract We revisit the classical QuickSort and QuickSelect algorithms, under a complexity model that fully takes into account the elementary comparisons between symbols composing ...
Brigitte Vallée, James Allen Fill, Julien C...