The Z4-linearity of Kerdock, Preparata, Goethals, and related codes

Certain notorious nonlinear binary codes contain more codewords than any known linear code. These include the codes constructed by Nordstrom-Robinson, Kerdock, Preparata, Goethals, and Delsarte-Goethals. It is shown here that all these codes can be very simply constructed as binary images under the...

Ausführliche Beschreibung

Bibliographische Detailangaben

Veröffentlicht in:	IEEE transactions on information theory 1994-03, Vol.40 (2), p.301-319
Hauptverfasser:	Hammons, A Roger, Kumar, P Vijay, Calderbank, A R, Sloane, N J A, Sole, Patrick
Format:	Artikel
Sprache:	eng
Online-Zugang:	Volltext
Tags:	Tag hinzufügen Keine Tags, Fügen Sie den ersten Tag hinzu!