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» Query Complexity Lower Bounds for Reconstruction of Codes
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ALT
2010
Springer
15 years 20 days 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
87
Voted
ALGORITHMICA
2002
94views more  ALGORITHMICA 2002»
15 years 10 days 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...
116
Voted
EUROCRYPT
2012
Springer
13 years 2 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...
88
Voted
ICALP
2005
Springer
15 years 6 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
68
Voted
TIT
1998
55views more  TIT 1998»
15 years 3 days 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