What Lincoln will get is a mixture of FTTP and FTTC in the different areas.
There is no offical list from BT that the public is avalible to view, however their has been the leaked Fibre/Postcode documents which do list which postcoes will roughly recieve each service.
There are large sections of lincoln due to get FTTP, with FTTC filling in a few more cabs though like other exchanges there are cabs that are missed.
If you post you're postcode we can say what you will be likely to recive.