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.
Additive Quaternary Codes Related to Exceptional Linear Quaternary Codes
Bierbrauer J.;Marcugini S.;Pambianco F.
2020
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.File in questo prodotto:
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