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On the variance of average distance of subsets in the Hamming space

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Publication:1765526
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DOI10.1016/J.DAM.2004.08.004zbMath1066.94023OpenAlexW2108589725MaRDI QIDQ1765526

San Ling, Fang-Wei Fu, Xing, Chaoping

Publication date: 23 February 2005

Published in: Discrete Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.dam.2004.08.004


zbMATH Keywords

CodesDistance distribut


Mathematics Subject Classification ID

Bounds on codes (94B65)





Cites Work

  • An ``average distance inequality for large subsets of the cube
  • Coding for write-efficient memory
  • Contributions to the geometry of Hamming spaces
  • On the average Hamming distance for binary codes
  • The asymptotic behaviour of diameters in the average
  • On the Delsarte inequalities
  • On the expectation and variance of Hamming distance between two i. i. d. random vectors
  • Minimum average distance subsets in the Hamming cube
  • A relation between the average Hamming distance and the average Hamming weight of binary codes
  • On the minimum average distance of binary codes: Linear programming approach
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