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» Some Results on the Binary Minimum Distance of Reed-Solomon ...
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TIT
2010
144views Education» more  TIT 2010»
12 years 12 months ago
Generalized and doubly generalized LDPC codes with random component codes for the binary erasure channel
In this paper, a method for the asymptotic analysis of generalized low-density parity-check (GLDPC) codes and doubly generalized low-density parity-check (D-GLDPC) codes over the b...
Enrico Paolini, Marc P. C. Fossorier, Marco Chiani
DCC
2001
IEEE
14 years 4 months ago
Trellis Structure and Higher Weights of Extremal Self-Dual Codes
A method for demonstrating and enumerating uniformly efficient (permutation-optimal) trellis decoders for self-dual codes of high minimum distance is developed. Such decoders and c...
Houshou Chen, John T. Coffey
CORR
2011
Springer
203views Education» more  CORR 2011»
13 years 8 days ago
AWGN Channel Analysis of Terminated LDPC Convolutional Codes
— It has previously been shown that ensembles of terminated protograph-based low-density parity-check (LDPC) convolutional codes have a typical minimum distance that grows linear...
David G. M. Mitchell, Michael Lentmaier, Daniel J....
STOC
2009
ACM
161views Algorithms» more  STOC 2009»
14 years 5 months ago
List decoding tensor products and interleaved codes
We design the first efficient algorithms and prove new combinatorial bounds for list decoding tensor products of codes and interleaved codes. ? We show that for every code, the rat...
Parikshit Gopalan, Venkatesan Guruswami, Prasad Ra...