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» Query Complexity Lower Bounds for Reconstruction of Codes
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ALT
2010
Springer
13 years 8 months ago
Recursive Teaching Dimension, Learning Complexity, and Maximum Classes
This paper is concerned with the combinatorial structure of concept classes that can be learned from a small number of examples. We show that the recently introduced notion of recu...
Thorsten Doliwa, Hans-Ulrich Simon, Sandra Zilles
ALGORITHMICA
2002
94views more  ALGORITHMICA 2002»
13 years 7 months ago
The Quantum Black-Box Complexity of Majority
We describe a quantum black-box network computing the majority of N bits with zerosided error using only 2 3 N + O( N log( -1 log N)) queries: the algorithm returns the correct an...
Thomas P. Hayes, Samuel Kutin, Dieter van Melkebee...
EUROCRYPT
2012
Springer
11 years 10 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...
ICALP
2005
Springer
14 years 1 months ago
Quantum Complexity of Testing Group Commutativity
We consider the problem of testing the commutativity of a black-box group specified by its k generators. The complexity (in terms of k) of this problem was first considered by Pa...
Frédéric Magniez, Ashwin Nayak
TIT
1998
55views more  TIT 1998»
13 years 7 months ago
On the Trellis Representation of the Delsarte-Goethals Codes
— In this correspondence, the trellis representation of the Kerdock and Delsarte–Goethals codes is addressed. It is shown that the states of a trellis representation of DG(m; ...
Yaron Shany, Ilan Reuven, Yair Be'ery