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.
ASJC Scopus subject areas
- Theoretical Computer Science
- Discrete Mathematics and Combinatorics