Portscan = the process of port scanning. Port scanning happens all the time, especially on college campuses. It only means that someone is running port-scanning software against the IP addresses the user knows or suspects are active on the network. It's looking for an open port it can exploit in some way. I suspect it's Norton's firewall that's raising the alarm, not the anti-virus.
Basically, it's like saying "a thief is casing my house."
True, if Norton is using some other concept of a port scan, then I'm wrong.
But when I was a college prof and was on the college network on my PC, the firewall I used (Zone Alarm) constantly told me I was being scanned, and I'm sure it was true. But since my ports were locked down, I didn't care.
If you'd like to see how vulnerable you are, check out
www.grc.com
click through to ShieldsUP, and then get your machine tested. Ask to have "common ports" and "all service ports" checked. Don't bother with the other tests, because they're Windows-specific.
My Mac, for example, has its ports hidden but does respond to a ping, which is not good. I'll have to fix that.