On the existence of $s$-extremal singly even self-dual codes

Abstract

We construct new $s$-extremal singly even self-dual codes of minimum weights $8,10,12$ and $14$. We also give tables for the currently known results on the existence of $s$-extremal singly even self-dual codes of minimum weights $8,10,12$ and $14$.

16 pages

References in corpus (3)

• New extremal singly even self-dual codes of lengths $64$ and $66$
• Binary extremal self-dual codes of length $60$ and related codes
• On $s$-extremal singly even self-dual $[24k+8,12k+4,4k+2]$ codes