\(\mathbb{Z}_ 4\)-linear codes obtained as projections of Kerdock and Delsarte-Goethals codes

DOI10.1016/0024-3795(95)00239-NzbMath0867.94028OpenAlexW2057347822MaRDI QIDQ1899440

Gary McGuire, Robert Calderbank

Publication date: 10 August 1997

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0024-3795(95)00239-n

zbMATH Keywords

Gray mapCodes over \(\mathbb{Z}_ 4\)Kerdock and Delsarte-Goethals codesprojection on a hyperplane

Mathematics Subject Classification ID

Linear codes (general theory) (94B05)

Related Items (1)

Weighing matrices and spherical codes

Cites Work

• Unnamed Item
• Alternating bilinear forms over GF(q)
• A class of low-rate nonlinear binary codes
• Low-dimensional lattices. VI. Voronoi reduction of three-dimensional lattices
• The Z/sub 4/-linearity of Kerdock, Preparata, Goethals, and related codes
• A class of optimum nonlinear double-error-correcting codes

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