Extremal double circulant type II codes over ℤ4 and construction of 5-(24, 10, 36) designs

T. Aaron Gulliver, Masaaki Harada

Research output: Contribution to journalArticlepeer-review

12 Citations (Scopus)

Abstract

In this paper, we provide a classification of extremal double circulant Type II codes of length 24 over ℤ4. It is shown that the sets of supports of the codewords of Hamming weight 10 in certain extremal Type II codes of length 24 form 5-(24, 10, 36) designs. Designs with these parameters were not previously known to exist. A new extremal Type II double circulant code of length 32 is also constructed.

Original languageEnglish
Pages (from-to)129-137
Number of pages9
JournalDiscrete Mathematics
Volume194
Issue number1-3
DOIs
Publication statusPublished - 1999 Jan 6

ASJC Scopus subject areas

  • Theoretical Computer Science
  • Discrete Mathematics and Combinatorics

Fingerprint Dive into the research topics of 'Extremal double circulant type II codes over ℤ<sub>4</sub> and construction of 5-(24, 10, 36) designs'. Together they form a unique fingerprint.

Cite this