You're mixing a bunch of things. You might want to look up how does WPA encryption works. I have 2 good books to recommend about the subject:
- 802.11 wireless networks by Matthew Gast
- Real 802.11 Security: Wi-Fi Protected Access and 802.11i
- 802.11 wireless networks by Matthew Gast
- Real 802.11 Security: Wi-Fi Protected Access and 802.11i