Weight distribution moments of random linear/coset codes

Vladimir Blinovsky, Uri Erez, Simon Litsyn*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


A simple method is proposed for the calculation of moments of the weight function of a random linear code. Applying this method we compute the exact expression for the third-order covariance of the weight function. The results are also extended to random coset codes.

Original languageEnglish
Pages (from-to)127-138
Number of pages12
JournalDesigns, Codes, and Cryptography
Issue number2
StatePublished - Nov 2010


  • Coset code
  • Moments
  • Random code
  • Weight distribution


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