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CORR
2006
Springer
132views Education» more  CORR 2006»
13 years 7 months ago
A Decomposition Theory for Binary Linear Codes
The decomposition theory of matroids initiated by Paul Seymour in the 1980's has had an enormous impact on research in matroid theory. This theory, when applied to matrices ov...
Navin Kashyap
ESA
2000
Springer
84views Algorithms» more  ESA 2000»
13 years 11 months ago
On Representations of Algebraic-Geometric Codes for List Decoding
Abstract. We show that all algebraic-geometric codes possess a succinct representation that allows for the list decoding algorithms of [15, 7] to run in polynomial time. We do this...
Venkatesan Guruswami, Madhu Sudan
CORR
2006
Springer
151views Education» more  CORR 2006»
13 years 7 months ago
Coding for Parallel Channels: Gallager Bounds and Applications to Repeat-Accumulate Codes
This paper is focused on the performance analysis of binary linear block codes (or ensembles) whose transmission takes place over independent and memoryless parallel channels. New ...
Igal Sason, Idan Goldenberg
ECCC
2011
188views ECommerce» more  ECCC 2011»
13 years 2 months ago
Three Query Locally Decodable Codes with Higher Correctness Require Exponential Length
Locally decodable codes are error correcting codes with the extra property that, in order to retrieve the correct value of just one position of the input with high probability, it...
Anna Gál, Andrew Mills
CORR
2007
Springer
149views Education» more  CORR 2007»
13 years 7 months ago
Competitive minimax universal decoding for several ensembles of random codes
Universally achievable error exponents pertaining to certain families of channels (most notably, discrete memoryless channels (DMC’s)), and various ensembles of random codes, ar...
Yaniv Akirav, Neri Merhav