If the public will have access to copies of this Desktop App, any good reverser will be able to crack it and "imitate" its transactions with the server. It doens't matter how secure is your cryptography, everything you app needs to encrypt/decrypt data is included in the binaries, so the cracker only needs to dig it out of it.
The objective of cryptography is to protect data while it is being transfered, from "middle-man" hackers, but if you have access to anyone of the peers, you can easily crack it.
Your server must never trust what comes from the client side.
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Despite you cannot 100% guarantee a supposed client to your server is or isn't your App or some "emulator" made by thirdies, you can complicate things to them. Its a common practice in game anti-cheats to sometimes, randomly, make the client App a trick question like "whats the hash of your main.exe from offset A to offset B?" or "from now on packet type 0x07 swaps with packet type 0x5f". Once a fake is detected, server enter in a "silly mode", act malfunctional, and blacklist their IP/account to this mode for several hours so they cannot have sure of what their program is doing wrong.
If you detect someone is building an emulator, make them start all over again: jumble the packet type tables, cryptography tables, change some packet formats and force your clients to update. You won't see crackers bothering you for a while... LOL