Singly-even self-dual codes with minimal shadow

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 \cite{Rains-asymptotic}, the length of extremal singly-even self-dual codes is bounded. We give explicit bounds in case the shadow is minimal.

Cited by in corpus (1)

• Singly even self-dual codes of length $24k+10$ and minimum weight $4k+2$