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Error Codes.pdf

etr122.pdf
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🔗 Source: paradise.caltech.edu
📊 Size: 317 KB
📄 Pages: 5 pages
⬇️ Downloads: 100

Summary

Error-correcting codes for multipermutations are considered under the Kendall's τ-metric, with a focus on constructing codes and determining channel capacity. A mapping is presented to transform a multipermutation to a permutation, facilitating the calculation of Kendall's τ distance. Two code constructions are given: one derived from error-correcting codes for permutations and another showing the reverse direction. The first construction is proven to be asymptotically optimal for certain multiplicity vectors. Channel capacity is also examined, with a result showing that for certain conditions, the capacity for multipermutations is equal to the capacity for permutations. The existence of perfect codes in this metric is discussed.

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Description

Error-correcting codes for multipermutations are considered under the Kendall's τ-metric, with a focus on constructing codes and determining channel capacity.

Technical Information

  • File Format: PDF
  • File Size: 317 KB
  • Pages: 5
  • Language: EN
  • Total Downloads: 100
  • Last Updated: 6 days ago

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This PDF document about Error Codes provides comprehensive information and guidance. Whether you're a beginner or advanced user, this resource offers valuable insights into Error Codes.

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