Abstract
In this paper, we determine the dimensions of the residue codes of extremal Type II Z4-codes of lengths 32 and 40. We demonstrate that every binary doubly even self-dual code of length 32 can be realized as the residue code of some extremal Type II Z4-code. It is also shown that there is a unique extremal Type II Z4-code of length 32 whose residue code has the smallest dimension 6 up to equivalence. As a consequence, many new extremal Type II Z4-codes of lengths 32 and 40 are constructed.
Original language | English |
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Pages (from-to) | 2148-2157 |
Number of pages | 10 |
Journal | Discrete Mathematics |
Volume | 311 |
Issue number | 20 |
DOIs | |
Publication status | Published - 2011 Oct 28 |
Externally published | Yes |
Keywords
- Binary doubly even code
- Extremal Type II -code
- Residue code
ASJC Scopus subject areas
- Theoretical Computer Science
- Discrete Mathematics and Combinatorics