Krishnan, Murali K and Chandran, Sunil L
(2006)
*Hardness of approximation results for the problem of finding the stopping distance in Tanner graphs.*
In: 26th International Conference on Foundations of Software Technology and Theoretical Computer Science,, Dec 13-15, 2006, Calcutta, India, pp. 69-80.

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## Abstract

Tanner Graph representation of linear block codes is widely used by iterative decoding algorithms for recovering data transmitted across a noisy communication channel from errors and erasures introduced by the channel. The stopping distance of a Tanner graph T for a binary linear block code C determines the number of erasures correctable using iterative decoding on the Tanner graph T when data is transmitted across a binary erasure channel using the code C. We show that the problem of finding the stopping distance of a Tanner graph is hard to approximate within any positive constant approximation ratio in polynomial time unless P = NP. It is also shown as a consequence that there can be no approximation algorithm for the problem achieving an approximation ratio of 2(log n)(1-epsilon) for any epsilon > 0 unless NP subset of DTIME(n(poly(log n))).

Item Type: | Conference Paper |
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Series.: | LECTURE NOTES IN COMPUTER SCIENCE |

Publisher: | Springer |

Additional Information: | Copyright of this article belongs to Springer. |

Department/Centre: | Division of Electrical Sciences > Computer Science & Automation |

Date Deposited: | 01 Sep 2010 05:51 |

Last Modified: | 19 Sep 2010 06:12 |

URI: | http://eprints.iisc.ac.in/id/eprint/30513 |

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