The weight distribution of the self-dual $[128,64]$ polarity design code
Masaaki Harada, Ethan Novak, Vladimir D. Tonchev · Advances in Mathematics of Communications · 2016
The weight distribution of the binary self-dual $[128,64]$ codebeing the extended code $C^{*}$ of the code $C$ spanned by the incidence vectorsof the blocks of the polarity design in $PG(6,2)$ [11]is computed.It is shown also that $R(3,7)$ and $C^{*}$have no self-dual $[128,64,d]$ neighbor with $d \in \{ 20, 24 \}$.