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I'm looking for a way to sign a 624 bits message on 256bits (sig length = 256 bits) with an asymmetric keys system?

I'm trying to sign a qrcode so a client can be sure that this qrcode has been emitted by the server.

It should be very hard to generate a qr code without the private key. (It should take more than a month)

The client has a public key.

Is it possible to obtain a "secure" (Meaning I can't sign my own qr code under a month without knowing the private key) priv/pub key signature system on such a restricted space?

Thanks!

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Yes; BLS can do that. (Message length is only relevant to short signatures in very limited circumstances.)

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