Nonexistence of certain singly even self-dual codes with minimal shadow

Stefka Bouyuklieva, Masaaki Harada, Akihiro Munemasa

It is known that there is no extremal singly even self-dual $[n,n/2,d]$ code with minimal shadow for $(n,d)=(24m+2,4m+4)$, $(24m+4,4m+4)$, $(24m+6,4m+4)$, $(24m+10,4m+4)$ and $(24m…