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TIT
2002
78views more  TIT 2002»
13 years 10 months ago
Improved upper bounds on sizes of codes
Let ( ) denote the maximum possible number of codewords in a binary code of length and minimum Hamming distance . For large values of , the best known upper bound, for fixed , is t...
Beniamin Mounits, Tuvi Etzion, Simon Litsyn
CORR
2004
Springer
76views Education» more  CORR 2004»
13 years 10 months ago
Improved Upper Bound for the Redundancy of Fix-Free Codes
A variable-length code is a fix-free code if no codeword is a prefix or a suffix of any other codeword. In a fix-free code any finite sequence of codewords can be decoded in both d...
Sergey Yekhanin
TIT
2008
103views more  TIT 2008»
13 years 10 months ago
Improved Probabilistic Bounds on Stopping Redundancy
For a linear code , the stopping redundancy of is defined as the minimum number of check nodes in a Tanner graph T for such that the size of the smallest stopping set in T is equal...
Junsheng Han, Paul H. Siegel, Alexander Vardy
CORR
2006
Springer
176views Education» more  CORR 2006»
13 years 11 months ago
On the Fingerprinting Capacity Under the Marking Assumption
Abstract--We address the maximum attainable rate of fingerprinting codes under the marking assumption, studying lower and upper bounds on the value of the rate for various sizes of...
N. Prasanth Anthapadmanabhan, Alexander Barg, Ilya...
DAGSTUHL
2006
14 years 8 days ago
Upper and Lower Bounds on Sizes of Finite Bisimulations of Pfaffian Dynamical Systems
In this paper we study a class of dynamical systems defined by Pfaffian maps. It is a sub-class of o-minimal dynamical systems which capture rich continuous dynamics and yet can be...
Margarita V. Korovina, Nicolai Vorobjov