Abstract
In this correspondence, new extremal self-dual codes of length 62 are constructed with weight enumerators of three different types. Two of these types were not represented by any known code up till now. All these codes possess an automorphism of order 15. Some of them are used to construct extremal self-dual codes of length 60 by the method of subtracting. By additional subtracting, an extremal self-dual [58, 29, 10] code was obtained having a weight enumerator which does not correspond to any code known so far.
| Original language | English |
|---|---|
| Pages (from-to) | 2060-2064 |
| Number of pages | 5 |
| Journal | IEEE Transactions on Information Theory |
| Volume | 48 |
| Issue number | 7 |
| DOIs | |
| Publication status | Published - 2002 Jul |
Keywords
- Automorphism
- Extremal self-dual code
- Weight enumerator
ASJC Scopus subject areas
- Information Systems
- Computer Science Applications
- Library and Information Sciences
Cite this
Dontcheva, R., & Harada, M. (2002). New extremal self-dual codes of length 62 and related extremal self-dual codes. IEEE Transactions on Information Theory, 48(7), 2060-2064. https://doi.org/10.1109/TIT.2002.1013144