The strongly regular twisted $D_{5,5}(q)$ graph

Abstract

We construct a new family of strongly regular graphs with the same parameters as the strongly regular graphs $D_{5,5}(q)$. The construction can be seen as a variant of the construction of twisted Grassmann graphs by Van Dam and Koolen.

arXiv comment7 pages, probably the accepted version, minor changes based on comments by another referee (which where inaccessible during the previous revision for technical reasons)