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» Near-MDS codes over some small fields
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CORR
2010
Springer
99views Education» more  CORR 2010»
13 years 8 months ago
Security in Distributed Storage Systems by Communicating a Logarithmic Number of Bits
Abstract--We investigate the problem of maintaining an encoded distributed storage system when some nodes contain adversarial errors. Using the error-correction capabilities that a...
Theodoros K. Dikaliotis, Alexandros G. Dimakis, Tr...
SODA
2008
ACM
95views Algorithms» more  SODA 2008»
13 years 10 months ago
Concatenated codes can achieve list-decoding capacity
We prove that binary linear concatenated codes with an outer algebraic code (specifically, a folded Reed-Solomon code) and independently and randomly chosen linear inner codes ach...
Venkatesan Guruswami, Atri Rudra
TIT
2010
136views Education» more  TIT 2010»
13 years 3 months ago
The existence of concatenated codes list-decodable up to the hamming bound
We prove that binary linear concatenated codes with an outer algebraic code (specifically, a folded Reed-Solomon code) and independently and randomly chosen linear inner codes ach...
Venkatesan Guruswami, Atri Rudra
FOCS
2010
IEEE
13 years 6 months ago
A Fourier-Analytic Approach to Reed-Muller Decoding
Abstract. We present a Fourier-analytic approach to list-decoding Reed-Muller codes over arbitrary finite fields. We use this to show that quadratic forms over any field are locall...
Parikshit Gopalan
BMCBI
2002
120views more  BMCBI 2002»
13 years 8 months ago
tacg - a grep for DNA
Background: Pattern matching is the core of bioinformatics; it is used in database searching, restriction enzyme mapping, and finding open reading frames. It is done repeatedly ov...
Harry Mangalam