Abstract
In this correspondence, we construct new self-dual codes over F4, F5, F7 with larger minimum weights than the previously known self-dual codes, using construction methods based on circulant and negacirculant matrices. In particular, a self-dual [36,18,13] code over F7 is constructed which has a larger minimum weight than the previously known [36,18] codes.
Original language | English |
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Pages (from-to) | 415-417 |
Number of pages | 3 |
Journal | IEEE Transactions on Information Theory |
Volume | 54 |
Issue number | 1 |
DOIs | |
Publication status | Published - 2008 Jan |
Externally published | Yes |
Keywords
- Circulant matrix
- Negacirculant matrix
- Nonbinary codes
- Self-dual codes
ASJC Scopus subject areas
- Information Systems
- Computer Science Applications
- Library and Information Sciences