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» On the Constructions of Constant-Weight Codes
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ECCC
2010
147views more  ECCC 2010»
14 years 4 months ago
A Note on Amplifying the Error-Tolerance of Locally Decodable Codes
Trevisan [Tre03] suggested a transformation that allows amplifying the error rate a code can handle. We observe that this transformation, that was suggested in the non-local setti...
Avraham Ben-Aroya, Klim Efremenko, Amnon Ta-Shma
DCC
2011
IEEE
14 years 4 months ago
Directed graph representation of half-rate additive codes over GF(4)
We show that (n, 2n ) additive codes over GF(4) can be represented as directed graphs. This generalizes earlier results on self-dual additive codes over GF(4), which correspond to ...
Lars Eirik Danielsen, Matthew G. Parker
60
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TCOM
2008
63views more  TCOM 2008»
14 years 9 months ago
A general construction of constrained parity-check codes for optical recording
This paper proposes a general and systematic code design method to efficiently combine constrained codes with parity-check (PC) codes for optical recording. The proposed constraine...
Kui Cai, Kees A. Schouhamer Immink
FFA
2011
115views more  FFA 2011»
14 years 4 months ago
Toric residue codes: I
In this paper, we begin exploring the construction of algebraic codes from toric varieties using toric residues. Though algebraic codes have been constructed from toric varieties, ...
Roy Joshua, Reza Akhtar
CORR
2008
Springer
113views Education» more  CORR 2008»
14 years 9 months ago
Construction of Large Constant Dimension Codes With a Prescribed Minimum Distance
In this paper we construct constant dimension codes with prescribed minimum distance. There is an increased interest in subspace codes in general since a paper [13] by K
Axel Kohnert, Sascha Kurz