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EUROCRYPT
2012
Springer
11 years 9 months ago
Decoding Random Binary Linear Codes in 2 n/20: How 1 + 1 = 0 Improves Information Set Decoding
Decoding random linear codes is a well studied problem with many applications in complexity theory and cryptography. The security of almost all coding and LPN/LWE-based schemes rel...
Anja Becker, Antoine Joux, Alexander May, Alexande...
IPL
2000
98views more  IPL 2000»
13 years 7 months ago
Linear complexity of the Naor-Reingold pseudo-random function
We obtain an exponential lower bound on the non-linear complexity of the new pseudo-random function, introduced recently by M. Naor and O. Reingold. This bound is an extension of t...
Igor Shparlinski
CSR
2011
Springer
12 years 11 months ago
The Complexity of Inversion of Explicit Goldreich's Function by DPLL Algorithms
The Goldreich’s function has n binary inputs and n binary outputs. Every output depends on d inputs and is computed from them by the fixed predicate of arity d. Every Goldreich...
Dmitry Itsykson, Dmitry Sokolov
COCO
2004
Springer
121views Algorithms» more  COCO 2004»
14 years 25 days ago
Lower Bounds for Randomized and Quantum Query Complexity Using Kolmogorov Arguments
We prove a very general lower bound technique for quantum and randomized query complexity, that is easy to prove as well as to apply. To achieve this, we introduce the use of Kolm...
Sophie Laplante, Frédéric Magniez
TIT
2008
102views more  TIT 2008»
13 years 7 months ago
Average Stopping Set Weight Distributions of Redundant Random Ensembles
In this paper, redundant random ensembles are defined and their average stopping set (SS) weight distributions are analyzed. A redundant random ensemble consists of a set of binar...
Tadashi Wadayama