The nonexistence of an additive quaternary [15,5,9]-code

Daniele Bartoli; Fernanda Pambianco; Giorgio Faina; Juergen Bierbrauer; Stefano Marcugini

arxiv: 1308.2108 · v1 · pith:PMJSXBTUnew · submitted 2013-08-09 · 🧮 math.CO

The nonexistence of an additive quaternary [15,5,9]-code

Daniele Bartoli , Juergen Bierbrauer , Giorgio Faina , Stefano Marcugini , Fernanda Pambianco This is my paper

classification 🧮 math.CO

keywords additivecodeexistsquaternaryconsequencedimensionlargestnonexistence

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We show that no additive [15,5,9]_4-code exists. As a consequence the largest dimension k such that an additive quaternary [15,k,9]_4-code exists is k=4.5.

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The nonexistence of an additive quaternary [15,5,9]-code

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