2000 character limit reached
Some restrictions on weight enumerators of singly even self-dual codes II (1706.03429v2)
Published 12 Jun 2017 in math.CO, cs.IT, and math.IT
Abstract: In this note, we give some restrictions on the number of vectors of weight $d/2+1$ in the shadow of a singly even self-dual $[n,n/2,d]$ code. This eliminates some of the possible weight enumerators of singly even self-dual $[n,n/2,d]$ codes for $(n,d)=(62,12)$, $(72,14)$, $(82,16)$, $(90,16)$ and $(100,18)$.