arXiv 0807.27012008-07-17cs.ITmath.IT

A Cutting Plane Method based on Redundant Rows for Improving Fractional Distance

Makoto Miwa, Tadashi Wadayama, Ichi Takumi

备注：: 8 pages, To be presented at Turbo Coding 2008

英文摘要：

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 l1-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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