Title
Lattice Codes for the Binary Deletion Channel.
Abstract
The construction of deletion codes for the Levenshtein metric is reduced to the construction of codes over the integers for the Manhattan metric by run length coding. The latter codes are constructed by expurgation of translates of lattices. These lattices, in turn, are obtained from Construction~A applied to binary codes and $\Z_4-$codes. A lower bound on the size of our codes for the Manhattan distance are obtained through generalized theta series of the corresponding lattices.
Year
Venue
Field
2014
CoRR
Discrete mathematics,Combinatorics,Concatenated error correction code,Upper and lower bounds,Binary code,Block code,Euclidean distance,Expander code,Deletion channel,Linear code,Mathematics
DocType
Volume
Citations 
Journal
abs/1406.1055
0
PageRank 
References 
Authors
0.34
3
3
Name
Order
Citations
PageRank
Lin Sok14710.38
Patrick Solé276.25
Aslan Tchamkerten327028.97