My 7 Mhz antenna (HF, 40m band) is 67 feet long, and goes across by whole house.
The smallest antenna you could get away with for LF would be hundreds to thousands of feet long.
You might be able to go smaller if you enjoy suffering. Though, there are some pretty creative antenna designs that defy logic.
I wonder if you can couple to your local distribution grid, and not get arrested.
Coupling into my power upstairs is a bit of a problem sometimes though.
Pirating power is something I've heard that happens, but I looked it up, and couldn't find an actual cited example of someone doing it via induction.
Plenty of people doing it via extension cords and device tampering though.
I haven't worked with my end-fed on 40m for a couple of years. We've recently all had our crappy old aluminium-cored BT lines replaced with shiny new fibre though, so this time I am unlikely to lift the coveted Worked All DSLAMs trophy ;-)