Additive quaternary codes related to exceptional linear quaternary codes
Document Type
Article
Publication Date
1-2020
Department
Department of Mathematical Sciences
Abstract
We study additive quaternary codes whose parameters are close to those of the extended cyclic $[{12,6,6}]_{4}$ -code or to the quaternary linear codes generated by the elliptic quadric in $PG(3,4)$ or its dual. In particular we characterize those codes in the category of additive codes and construct some additive codes whose parameters are better than those of any linear quaternary code. Our new code parameters are $[{22,17.5,4}]_{4}$ .
Publication Title
IEEE Transactions on Information Theory
Recommended Citation
Bierbrauer, J.,
Marcugin, S.,
&
Pambianco, F.
(2020).
Additive quaternary codes related to exceptional linear quaternary codes.
IEEE Transactions on Information Theory,
66(1), 273-277.
http://doi.org/10.1109/TIT.2019.2946635
Retrieved from: https://digitalcommons.mtu.edu/michigantech-p/1588