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TIT
2002
89views more  TIT 2002»
13 years 7 months ago
Upper bounds on the rate of LDPC Codes
We derive upper bounds on the rate of low density parity check (LDPC) codes for which reliable communication is achievable. We first generalize Gallager's bound to a general ...
David Burshtein, Michael Krivelevich, Simon Litsyn...
TIT
2002
146views more  TIT 2002»
13 years 7 months ago
Bounds on the performance of belief propagation decoding
We consider Gallager's soft decoding (belief propagation) algorithm for decoding low density parity check (LDPC) codes, when applied to an arbitrary binary-input symmetric-ou...
David Burshtein, Gadi Miller
TIT
2002
73views more  TIT 2002»
13 years 7 months ago
Quantum rate-distortion theory for memoryless sources
We formulate quantum rate-distortion theory in the most general setting where classical side information is included in the tradeoff. Using a natural distortion measure based on en...
Igor Devetak, Toby Berger
TIT
2002
92views more  TIT 2002»
13 years 7 months ago
Asymmetric multiple description lattice vector quantizers
We consider the design of asymmetric multiple description lattice quantizers that cover the entire spectrum of the distortion profile, ranging from symmetric or balanced to success...
Suhas N. Diggavi, N. J. A. Sloane, Vinay A. Vaisha...
TIT
2002
73views more  TIT 2002»
13 years 7 months ago
The minimum distance of the duals of binary irreducible cyclic codes
Abstract--Irreducible cyclic codes have been an interesting subject of study for many years. The weight distribution of some of them have been determined. In this paper, we determi...
Cunsheng Ding, Tor Helleseth, Harald Niederreiter,...