Sciweavers

77 search results - page 6 / 16
» Near-MDS codes over some small fields
Sort
View
CORR
2010
Springer
99views Education» more  CORR 2010»
14 years 12 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»
15 years 1 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»
14 years 6 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
14 years 9 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»
14 years 11 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