I would probably use authentication instead of encryption (hashing all the data sent so you can check it on the server). This will work for regular game information because there is no need for privacy. If you do not send confidential user information, such as name, age, credit card details, etc., I suggest you use basic authentication, which is much faster than encryption. You can go for very simple hash functions, or if you think your game really encourages people to intervene in it, then you can use military-grade hash functions like SHA-256 or higher. But no matter what hash scheme you use, it should be much less time / resources than implementing the right encryption scheme.
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