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TIT
1998
79views more  TIT 1998»
14 years 11 months ago
Greedy and Heuristic Algorithms for Codes and Colorings
Abstract— Many of the fundamental coding problems can be represented as graph problems. These problems are often intrinsically difficult and unsolved even if the code length is ...
Tuvi Etzion, Patric R. J. Östergård
ITCC
2003
IEEE
15 years 5 months ago
On Quaternary MacDonald Codes
This paper studies two families of codes over Z4, MacDonald codes of type α and type β. The torsion code, weight distribution, and Gray image properties are studied. Some intere...
Charles J. Colbourn, Manish K. Gupta
IMA
1995
Springer
97views Cryptology» more  IMA 1995»
15 years 3 months ago
A New Algorithm for Finding Minimum-Weight Words in Large Linear Codes
An algorithm for finding small-weight words in large linear codes is developed and a precise analysis of its complexity is given. It is in particular able to decode random [512,256...
Anne Canteaut
CORR
2010
Springer
57views Education» more  CORR 2010»
14 years 12 months ago
A new proof of Delsarte, Goethals and Mac Williams theorem on minimal weight codewords of generalized Reed-Muller code
We give a new proof of Delsarte, Goethals and Mac williams theorem on minimal weight codewords of generalized Reed-Muller codes published in 1970. To prove this theorem, we consid...
Elodie Leducq
COMBINATORICS
2007
59views more  COMBINATORICS 2007»
14 years 11 months ago
New Optimal Constant Weight Codes
In 2006, Smith et al. published a new table of constant weight codes, updating existing tables originally created by Brouwer et al. This paper improves upon these results by fill...
Igor Gashkov, D. Taub