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A cutting plane method based on redundant rows for improving fractional distance
Miwa, M.   Wadayama, T.   Takumi, I.  
Grad. Sch. of Eng., Nagoya Inst. of Technol., Nagoya;

This paper appears in: Turbo Codes and Related Topics, 2008 5th International Symposium on
Publication Date: 1-5 Sept. 2008
On page(s): 43-48
Location: Lausanne,
ISBN: 978-1-4244-2862-5
INSPEC Accession Number: 10368846
Digital Object Identifier: 10.1109/TURBOCODING.2008.4658670
Current Version Published: 2008-10-24

Abstract
In this paper, an idea of the cutting plane method is employed to improve the fractional distance of a given binary parity check matrix. The fractional distance is the minimum weight (with respect to lscr1-distance) of vertices of the fundamental polytope. The cutting polytope is defined based on redundant rows of the parity check matrix and it plays a key role to eliminate unnecessary fractional vertices in the fundamental polytope. We propose a greedy algorithm and its efficient implementation for improving the fractional distance based on the cutting plane method.

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