11-10
Singly-even self-dual codes with minimal shadow
by Bouyuklieva,Stefka; Willems,Wolfgang
Preprint series: 11-10, 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
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