On the additive (ℤ4-linear and Non-ℤ4- linear) Hadamard codes: Rank and kernel

Kevin T. Phelps*, Joseph Rifà, Mercè Villanueva

*Corresponding author for this work

Research output: Contribution to journalArticleResearchpeer-review

34 Citations (Scopus)

Abstract

All the possible nonisomorphic additive (ℤ4-linear and non-ℤ4-linear) Hadamard codes are characterized and the rank and the dimension of the kernel are computed for each one.

Original languageEnglish
Pages (from-to)316-319
Number of pages4
JournalIEEE Transactions on Information Theory
Volume52
Issue number1
DOIs
Publication statusPublished - Jan 2006

Keywords

  • ℤ-linear codes
  • Additive codes
  • Extended perfect codes
  • Hadamard codes
  • Hadamard matrices
  • Kernel
  • Rank

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