Type I and Type II codes over the ring F2+sF2+s2F2

Type I and Type II codes over the ring F2+sF2+s2F2

We take a ring R = F 2 + s F 2 + s 2 F 2 . We consider a Gray map on this ring, discuss self-dual codes, define various weight enumerators over the ring, and discuss equivalence class of codes over the ring. We construct self-dual codes of Type I and Type II over the given ring for different lengths...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Arabian journal of mathematics 2020-04, Vol.9 (1), p.1-7
1. Verfasser: Ankur
Format: Artikel
Sprache:eng
Schlagworte:
Binary system
Codes
Mathematics
Mathematics and Statistics
Weight
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:We take a ring R = F 2 + s F 2 + s 2 F 2 . We consider a Gray map on this ring, discuss self-dual codes, define various weight enumerators over the ring, and discuss equivalence class of codes over the ring. We construct self-dual codes of Type I and Type II over the given ring for different lengths.
ISSN:2193-5343
2193-5351
2193-5351
DOI:10.1007/s40065-018-0218-4