About some Hadamard full propelinear (2t,2,2)-codes. Rank and Kernel

I. Bailera, J. Borges, J. Rifà

Research output: Contribution to journalArticleResearchpeer-review

1 Citation (Scopus)

Abstract

© 2016 Elsevier B.V. A new subclass of Hadamard full propelinear codes is introduced in this article. We define the HFP(2t,2,2)-codes as codes with a group structure isomorphic to C2t×C22. Concepts such as rank and dimension of the kernel are studied, and bounds for them are established. For t odd, r=4t−1 and k=1. For t even, r≤2t and k≠2, and r=2t if and only if t≢0 (mod 4).
Original languageEnglish
Pages (from-to)319-324
JournalElectronic Notes in Discrete Mathematics
Volume54
DOIs
Publication statusPublished - 1 Oct 2016

Keywords

  • Hadamard codes
  • dimension of the kernel
  • full propelinear codes
  • rank

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