Write NTAG 424 at ISO 14443 - 4 NFC

I stuck when I wanna write the NFC Tag ISO 14443-4 using Arduino, I've tried using MFRC522, PN532 and still can't write the ndef, may be somebody help me about my issue, thanks..

Lots of acronyms, what do they stand for? Generally there is more then one of the item so post links to technical data on the ones you are using.