Abstract
In this note, we give the complete classification of binary formally self-dual even codes of lengths 10, 12, 14 and 16. There are exactly fourteen, 29, 99 and 914 inequivalent such codes of lengths 10, 12, 14 and 16, respectively. This completes the classification of formally self-dual even codes of lengths up to 16. The first example of a formally self-dual even code with a trivial automorphism group is also found. This shows that 16 is the smallest length for which there is a formally self-dual even code with a trivial automorphism group.
Original language | English |
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Pages (from-to) | 325-332 |
Number of pages | 8 |
Journal | Designs, Codes, and Cryptography |
Volume | 23 |
Issue number | 3 |
DOIs | |
Publication status | Published - 2001 Aug |
Externally published | Yes |
Keywords
- Automorphism groups
- Classification
- Formally self-dual even codes
ASJC Scopus subject areas
- Computer Science Applications
- Applied Mathematics