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Singly-even self-dual codes with minimal shadow

by Bouyuklieva,Stefka; Willems,Wolfgang.

Series: 2011-10, Preprints

94B05 Linear codes, general
94B65 Bounds on codes

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.

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