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There are probably quite a few good reasons for this, although I don't expect that a scientific answer can be composed (as you would need to use a survey, and I've never heard of such a thing for modes of operation). Let me list a few possible reasons: Developers don't know about CTR mode of operation; most questions on StackOverflow are about ECB and CBC ...

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With regards to the public vs private keys, in RSA, the public key is used to encrypt information, the private key is used to decrypt it. Given only the public key, all you can do is encrypt. So, you can publish that online somewhere (key distribution is a very different problem). Anyone can use it to encrypt a message to you and only you can decrypt it. ...

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Unfortunately, unless the developers made rookie mistakes in their implementation of their malware, you will not be able to recover the decryption keys. The ideal solution is to recover your files from a recent backup. I suppose you can pay whatever ransom is asked for, if you can morally justify it (ransomware typically has an incentive to give you access ...

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"Will such security always remain secure?" No. $\:$ In particular, quantum computers will break RSA and elliptic curves. Has it been mathematically proved that these algorithms can not be cracked, or is it a possibility? It is a possibility, since a very-practical algorithm for the Boolean satisfiability problem would be enough to break essentially all ...

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Yes it is possible and already in use in multiple way (LUKS for example). The way it works: Have a master key that encrypts the whole data Append a header in front that contains the master key encrypted by the password you want To add a password add a keyslot (master key encrypted by another password) To revoke a password remove said keyslot (the user ...

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