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DCC
1999
IEEE
13 years 10 months ago
Long Binary Linear Codes and Large Caps in Projective Space
We obtain, in principle, a complete classification of all long inextendable binary linear codes. Several related constructions and results are presented.
Aiden A. Bruen, David L. Wehlau
APPROX
2006
Springer
100views Algorithms» more  APPROX 2006»
14 years 2 months ago
Robust Local Testability of Tensor Products of LDPC Codes
Given two binary linear codes R and C, their tensor product R C consists of all matrices with rows in R and columns in C. We analyze the "robustness" of the following te...
Irit Dinur, Madhu Sudan, Avi Wigderson
ICCCN
2007
IEEE
14 years 5 months ago
On Short Forward Error-Correcting Codes for Wireless Communication Systems
—For real-time wireless communications, short forward error-correcting (FEC) codes are indispensable due to the strict delay requirement. In this paper we study the performance o...
Sheng Tong, Dengsheng Lin, Aleksandar Kavcic, Baom...
DCC
2004
IEEE
14 years 10 months ago
LDPC Codes from Triangle-Free Line Sets
We study sets of lines of AG(n, q) and PG(n, q) with the property that no three lines form a triangle. As a result the associated point-line incidence graph contains no 6-cycles a...
Keith E. Mellinger
DCC
2005
IEEE
14 years 10 months ago
A Family of Binary (t, m, s)-Nets of Strength 5
(t, m, s)-nets were defined by Niederreiter [6], based on earlier work by Sobol' [7], in the context of quasi-Monte Carlo methods of numerical integration. Formulated in comb...
Jürgen Bierbrauer, Yves Edel