Please refer to the following links :
Use this to download Creative Cloud on new machine :
Let us know if this helps.
Thanks for your answer.
I guess the only way is the following:
"I can't access my previous computer (stolen/lost/crashed)
If you don't have access to the previous computer on which you installed the app, contact us by chat or phone. To ensure a quick resolution, be sure to have any purchase-related information ready."
So I will contact the support tomorrow.