Zurück zu den Preprints des Jahres 2011


2011-10

Singly-even self-dual codes with minimal shadow

by Bouyuklieva,Stefka; Willems,Wolfgang.


Series: 2011-10, Preprints

MSC:
94B05 Linear codes, general
94B65 Bounds on codes

Abstract:
In this note we investigate extremal singly-even self-dual codes with minimal shadow. For particular parameters we prove non-existence of such codes. By a result of Rains, the length of extremal singly-even self-dual codes is bounded. We give explicit bounds in case the shadow is minimal.

Keywords:
self-dual codes, singly-even codes, minimal shadow, bounds