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The main security parameter of current cryptographic algorithms is the key length. The authors compare the different decryption schemes that have been described in terms of speed and memory. A big key will ensure a high level of security but the operations will also take a long time and consume a lot of memory. Currently, the recommended key length for the big standard cryptosystem RSA is more than 512 bits. If 1024 bits or 2048 bits could be used that is safer. This key length is believed to be secure regarding the current computing abilities of the computers. But this length will probably be sooner or later too short.
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