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» Improved Upper Bound for the Redundancy of Fix-Free Codes
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CORR
2007
Springer
91views Education» more  CORR 2007»
13 years 7 months ago
Single-Exclusion Number and the Stopping Redundancy of MDS Codes
—For a linear block code C, its stopping redundancy is defined as the smallest number of check nodes in a Tanner graph for C, such that there exist no stopping sets of size smal...
Junsheng Han, Paul H. Siegel, Ron M. Roth
CORR
2004
Springer
95views Education» more  CORR 2004»
13 years 7 months ago
Long Nonbinary Codes Exceeding the Gilbert - Varshamov Bound for any Fixed Distance
Let ( ) denote the maximum size of a -ary code of length and distance . We study the minimum asymptotic redundancy ( ) = log ( ) as grows while and are fixed. For any and 1, long a...
Sergey Yekhanin, Ilya Dumer
TIT
2008
90views more  TIT 2008»
13 years 7 months ago
An Improved Sphere-Packing Bound for Finite-Length Codes Over Symmetric Memoryless Channels
This paper derives an improved sphere-packing (ISP) bound for finite-length error-correcting codes whose transmission takes place over symmetric memoryless channels, and the codes...
Gil Wiechman, Igal Sason
TIT
2008
102views more  TIT 2008»
13 years 7 months ago
Average Stopping Set Weight Distributions of Redundant Random Ensembles
In this paper, redundant random ensembles are defined and their average stopping set (SS) weight distributions are analyzed. A redundant random ensemble consists of a set of binar...
Tadashi Wadayama
TIT
2008
72views more  TIT 2008»
13 years 7 months ago
On the Construction of (Explicit) Khodak's Code and Its Analysis
Variable-to-variable codes are very attractive yet not well understood data compression schemes. In 1972 Khodak claimed to provide upper and lower bounds for the achievable redund...
Yann Bugeaud, Michael Drmota, Wojciech Szpankowski