A geometric non-existence proof of an extremal additive code

DOI10.1016/J.JCTA.2009.04.005zbMath1191.94128OpenAlexW2072018030MaRDI QIDQ966057

Fernanda Pambianco, Stefano Marcugini, Juergen Bierbrauer

Publication date: 27 April 2010

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcta.2009.04.005

zbMATH Keywords

hyperplanestrengthprojective geometryweightminimum distancespreadadditive codessecundum

Mathematics Subject Classification ID

Geometric methods (including applications of algebraic geometry) applied to coding theory (94B27) Finite geometry and special incidence structures (51E99)

Related Items (1)

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

Cites Work

• Nordstrom-Robinson code and \(A_7\)-geometry
• The geometry of quantum codes
• Small additive quaternary codes.
• Linear codes over finite fields and finite projective geometries
• Quantum error correction via codes over GF(4)
• Short Additive Quaternary Codes

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