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» Bounds on the Covering Radius of Linear Codes
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CORR
2010
Springer
80views Education» more  CORR 2010»
13 years 4 months ago
New Set of Codes for the Maximum-Likelihood Decoding Problem
The maximum-likelihood decoding problem is known to be NP-hard for general linear and Reed-Solomon codes [1, 4]. In this paper, we introduce the notion of A-covered codes, that is...
Morgan Barbier
STOC
2009
ACM
119views Algorithms» more  STOC 2009»
14 years 5 months ago
Explicit construction of a small epsilon-net for linear threshold functions
We give explicit constructions of epsilon nets for linear threshold functions on the binary cube and on the unit sphere. The size of the constructed nets is polynomial in the dime...
Yuval Rabani, Amir Shpilka
JCT
2002
107views more  JCT 2002»
13 years 4 months ago
Asymmetric Binary Covering Codes
An asymmetric binary covering code of length n and radius R is a subset C of the n-cube Qn such that every vector x Qn can be obtained from some vector c C by changing at most R...
Joshua N. Cooper, Robert B. Ellis, Andrew B. Kahng
DCC
2001
IEEE
14 years 4 months ago
Bounds for the Multicovering Radii of Reed-Muller Codes with Applications to Stream Ciphers
The multicovering radii of a code are recent generalizations of the covering radius of a code. For positive m, the m-covering radius of C is the least radius t such that every m-tu...
Iiro S. Honkala, Andrew Klapper
TIT
2002
129views more  TIT 2002»
13 years 4 months ago
Combinatorial bounds for list decoding
Abstract--Informally, an error-correcting code has "nice" listdecodability properties if every Hamming ball of "large" radius has a "small" number of ...
Venkatesan Guruswami, Johan Håstad, Madhu Su...