Not aware of 'Take off law' or 'Landing law' - not in any Airbus documents I have.
There is NORMAL LAW - which has Ground mode, Flight mode and Flare mode; ALTERNATE LAW - which is a slightly degraded form of normal law offering certain reduced protections and DIRECT LAW - which is the same law 'used' by everything at your local flying club.
Don't know why Airbus chose this route but it's nowhere near as complicated as certain explanations try to make it sound. Having said that, it's harder to write down (type) than to explain verbally or actually operate. It takes approx 10 mins to get used to and 15 mins to totally enjoy.
Bottom line, the aircraft fly very well indeed and have to suffer several (big) failures before they end up in DIRECT LAW - which is where we all all learnt to fly!