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» Algebraic Constructions of Space-Frequency Codes
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TCOM
2008
155views more  TCOM 2008»
13 years 7 months ago
Construction of nonbinary cyclic, quasi-cyclic and regular LDPC codes: a finite geometry approach
This paper presents five methods for constructing nonbinary LDPC codes based on finite geometries. These methods result in five classes of nonbinary LDPC codes, one class of cyclic...
Lingqi Zeng, Lan Lan, Ying Yu Tai, Bo Zhou, Shu Li...
CORR
2010
Springer
110views Education» more  CORR 2010»
13 years 7 months ago
Construction of Rational Surfaces Yielding Good Codes
In the present article, we consider algebraic geometry codes on some rational surfaces. The estimate of the minimum distance is translated into a point counting problem on plane cu...
Alain Couvreur
FFA
2011
115views more  FFA 2011»
13 years 2 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
TIT
1998
127views more  TIT 1998»
13 years 7 months ago
The Art of Signaling: Fifty Years of Coding Theory
—In 1948 Shannon developed fundamental limits on the efficiency of communication over noisy channels. The coding theorem asserts that there are block codes with code rates arbit...
A. Robert Calderbank
TIT
2008
83views more  TIT 2008»
13 years 7 months ago
Hard Problems of Algebraic Geometry Codes
The minimum distance is one of the most important combinatorial characterizations of a code. The maximum likelihood decoding problem is one of the most important algorithmic proble...
Qi Cheng