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arxiv: 1804.02468 · v1 · pith:WWNK4QMVnew · submitted 2018-04-06 · 🧮 math.CO

Additive quaternary codes related to exceptional linear quaternary codes

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keywords codesquaternaryadditivelinearthosecodeparameterswhose
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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.

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