Title

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

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