Method for storing data in a cloud and network for carrying out the method

A method for storing data to a cloud, the method comprising:

• providing at least one data file to be stored together with a predefined number t of replicas of the at least one data file within the cloud, at least one authentication tag corresponding to the at least one data file and t functions that are configurable to take at least a predefined time to compute;
• and
• transmitting the at least one data file, the at least one authentication tag and the t functions to a cloud storage service, to enable the cloud storage service to:
• store the at least one data file within the cloud;
• compute t solutions of the t functions within the cloud;
• generate the t replicas of the at least one data file based on the t solutions of the t functions and the at least one data file within the cloud, wherein each of the t functions is used for at least one of the t replicas of the at least one data file;
• and
• store the t replicas within the cloud.