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FDX-B 134.2 kHz RFID reader

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neveregret

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I bought this from aliexpress. I bought 134.2 kHz because I will use it for my dogs . I am trying to built them automatic machine. I bought both antenna the round one and the rectangular one. It says we can read from 3-40 cm but when I use the round one, it reads from 5 cm. When I use the rectangular one, it reads from 1 cm. Is there any suggestion for make antenna. I need at least 30-40 cm read range. How can I do that antenna? wave length = 2235.469m but If I take 132.2 (operational frequency I guess)= 2269.288m L=4.26 mH,R=70 ohm , Q=48 , capacitor= 330pF , Current=50mA BW=2800 Hz ( I calculate those numbers , I don't know are these true or are these numbers needs.
It is only reading from this range
photo5980976027263940330.jpg
 

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