How do runway declared distances affect my takeoff distance?
Actually, the take off distance given in runways will be greater than the runway distance as it will include the distance to overcome a predetermined obstacle.



Source: tc.gc.ca

The balanced field length is dependent on the aircraft configuration among other things and is usually available in AFM. The airfield lengths, on the other hand are made available so that operators can decide which aircraft to operate based on the runway lengths available.

In general, the ASDA should give you the available distance for taking off as it gives the required field length available in case you decide to abort the takeoff for whatever the reasons.