Some new extremal codes of lengths 76 and 78
Document Type
Article
Publication Date
5-1-2003
Abstract
We find new extremal [76, 38, 14] and [78, 39, 14] binary self-dual codes. The code of length 76 is the first known self-dual code with these parameters. It is shadow extremal and the shortest known self-dual code with minimal distance 14. It has an automorphism of order 19 without fixed coordinates. The code of length 78 has a new weight enumerator and an automorphism of order 19 with two flxed coordinates.
Publication Title
IEEE Transactions on Information Theory
Recommended Citation
Baartmans, A.,
&
Yorgov, V.
(2003).
Some new extremal codes of lengths 76 and 78.
IEEE Transactions on Information Theory,
49(5), 1353-1354.
http://doi.org/10.1109/TIT.2003.810653
Retrieved from: https://digitalcommons.mtu.edu/michigantech-p/11041