Haven't had any experience with either companies so can't comment on quality or reliability.
The Vigor does have an impressive feature set, more so than the Linksys.
When you say security, do you mean generally or WIFI security? If WIFI then the Vigor looks better as it supports WPA, which is more secure than the older but more common WEP standard. However your wireless card needs to support WPA as well for it to work.
The linksys doesn't make any claims about WPA, more research needed to see if it's available as a firmware upgrade in the future.
So depends what you want and how flush you are feeling?
The cheaper Linksys would be a good all rounder.
The Vigor has extra (or more marketed) security features and a print server but is almost twice the price.