Quasi-symmetric 2-(64,24,46) designs derived from AG(3,4)

This paper completes the enumeration of quasi-symmetric 2-(64,24,46) designs supported by the dual code C⊥ of the binary linear code C spanned by the lines of AG(3,4), initiated in Rodrigues and Tonchev (2015). It is shown that C⊥ supports exactly 30,264 nonisomorphic quasi-symmetric 2-(64,24,46) designs. The automorphism groups of the related strongly regular graphs are computed.