On q-ary linear quasi-constant-weight codes

Zihui Liu, Xiangyong Zeng

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Abstract

We show that all k-dimensional q-ary linear quasiconstant-weight codes are equivalent to the first-order RM code or its copies for k ≥ 4, and the same result holds also for the case k = 3 and q being a prime number.

Original languageEnglish
Article number7328273
Pages (from-to)41-44
Number of pages4
JournalIEEE Communications Letters
Volume20
Issue number1
DOIs
Publication statusPublished - 1 Jan 2016

Keywords

  • Constant-weight
  • Quasi-constant-weight
  • The first-order RM code
  • Value function

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Liu, Z., & Zeng, X. (2016). On q-ary linear quasi-constant-weight codes. IEEE Communications Letters, 20(1), 41-44. Article 7328273. https://doi.org/10.1109/LCOMM.2015.2499762