Bob,

This is far from enough technical information to assist you.  

If you are looking at your Wireless settings alone, depending on your router type, and it says Security None, you have an "Open Access Point" that anyone can join.  Now if you don't use your Wireless and your router doesn't automatically bridge your Wireless and Wired connections, you are "safe".  In order to exploit the local LAN security, they must share your IP subnet/physical media.  

What is your router type?
Are you using Wired Exclusively?

As an aside the only real "secure" Wireless security is Enterprise-WPA2 (assuming you enforce random complex passwords and your users don't fall for a similar named SSID phishing access creds) which can be provided by an authentication server :

http://www.privacywonk.net/2010/10/security-how-to-wpa2-enterprise-on-your-home-network.php

Examples:

HowTos:

Ubuntu http://cubicspot.blogspot.com/2013/04/setting-up-wpa2-enterprise-aes-with.html


OpenWRT https://www.youtube.com/watch?v=PvUqMFvTOn8

ddWRT  http://www.matrix44.net/blog/wp-content/uploads/2014/05/DD-WRT-WPA2-Enterprise.pdf

On Wed, Oct 22, 2014 at 8:08 PM, Bob Holtzman <holtzm@cox.net> wrote:
While in the process of looking at my wireless connection properties I
saw it said "security     none". Needless to say this blew me away since
wired is the way I download all my s/w, isos plus connecting to my bank
and brokers' accts! I had always considered wired to be more secure
than wireless. They run thru the same router which has wpa/2 with a
killer p/w.

Would someone please enlighten me?

--
Bob Holtzman
Giant intergalactic brain-sucking hyperbacteria
came to Earth to rape our women and create a race
of mindless zombies.  Look!  It's working!
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