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Efficient Algorithms for Searching Optimal Shortened Cyclic Single-Burst-Correcting Codes

Discrete Mathematics 2011-01-31 v1

Abstract

In a previous work it was shown that the best measure for the efficiency of a single burst-correcting code is obtained using the Gallager bound as opposed to the Reiger bound. In this paper, an efficient algorithm that searches for the best (shortened) cyclic burst-correcting codes is presented. Using this algorithm, extensive tables that either tie existing constructions or improve them are obtained for burst lengths up to b=10.

Keywords

Cite

@article{arxiv.1101.5411,
  title  = {Efficient Algorithms for Searching Optimal Shortened Cyclic Single-Burst-Correcting Codes},
  author = {Luis Javier García Villalba and José René Fuentes Cortez and Ana Lucila Sandoval Orozco and Mario Blaum},
  journal= {arXiv preprint arXiv:1101.5411},
  year   = {2011}
}
R2 v1 2026-06-21T17:18:07.249Z