Hello and thank you all for your time and help.
I'm new on Arduino but not new to electronics, I have studied telecommunications engineering and I'm a developer for living.
I would like to make my own RFID communication protocol base on the ISO 14443-3 layer ( so using the physical layer ) to write and read my own data between two Arduinos with antennas, one working as a reader and the other as a card.
I would like it quite simple, so I need the Antenna to have all the demodulation and sampling so I can work on a bit level and not deal with analog. (I would like that the antennas boards are transceivers)
Would you please recommend me a Arduino version and antenna board that is enough for this project?
extra requirement for the future is that I would like to have some cpu capacity enough to encrypt using asymmetric like RSA or if you know a board that comes with RSA hardware for speed 
I would also guess in the future would like to add Bluetooth ( I guess all boards can have that already)
There is so much boards and antennas there that I'm a bit lost and exited at the same time, can't wait to order my Arduino (or any other board you recommend) and start playing with it!
Best regards
Rion
I think you need a bit more research into the various hardware components available.
Most Arduino boards have no RF- WiFi or Bluetooth.
If you want RSA hardware, you're going to have to design it yourself.
Perhaps a starting place would be to experiment using a pair of Wemos D1 Mini or NodeMCU boards because hey already have WiFi.
If you do develop a WiFi-based RFID protocol, a few people here would be interested.
Thank you very much SteveMann
to be more specific I would like to start low with an antenna board with 13.56 MHz and later on try with other boards and frequencies.
Wifi is too high frequency for what I want, max I need is 433 Mhz.
Sorry I didn't specify the frequencies, maybe something like this (just searching for keywords). https://www.st.com/en/nfc/cr95hf.html but I'm not sure which Arduino board would I need with it and if it provides the low level api I would need.
Thanks again 
Make sure you stay within the legal requirements for using 433 mHz in you country.
Paul
Thanks Paul,
I'm not planning to build the antenna my self, so I don't have concerns on EM contamination.
I'll partially answer my self for other people out there, I'm going to try with a PN532.
I wanted to go with a RC522 but it seams it mostly reads, which is strange to me because it has a transceiver and it clearly can write too. but everybody says it's hardware limited so well...
now searching for a nice board.
rioncrane:
Thanks Paul,
I'm not planning to build the antenna my self, so I don't have concerns on EM contamination.
I'll partially answer my self for other people out there, I'm going to try with a PN532.
I wanted to go with a RC522 but it seams it mostly reads, which is strange to me because it has a transceiver and it clearly can write too. but everybody says it's hardware limited so well...
now searching for a nice board.
I was actually hoping you would read about the number of milliseconds you can transmit every second.
Paul