On the extended Lee weights modulo 2e of linear codes over Z2.

Bahattin Yildiz, Zeynep Ödemiş Özger

Research output: Contribution to journalArticlepeer-review


In this work, lineax codes over Z2 are considered together with the extended Lee weight that is defined as (Equation presented) The ideas used by Wilson and Yildiz are employed to obtain divisibility properties for sums involving binomial coefficients and the extended Lee weight. These results are then used to find bounds on the power of 2 that divides the number of codewords whose Lee weights fall in the same congruence class modulo 2e. Comparisons are made with the results for the trivial code and the results for the homogeneous weight.

Original languageEnglish (US)
Pages (from-to)289-302
Number of pages14
JournalArs Combinatoria
StatePublished - Jan 2017
Externally publishedYes


  • Codes over rings
  • Enumerators
  • Gray map
  • Linear codes

ASJC Scopus subject areas

  • General Mathematics


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