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I think the argument is to stop using it.

The problem with RSA is that it's easy to understand and easy to implement well enough to work in the sense of "my test cases verify and reject my good and bad signatures", but extremely hard to implement correctly with respect to a host of subtle number theoretic attacks against prime generation, key selection, and bit banging that have been successful in the wild over the past few decades. Given the number of attacks that have been found and their subtlety, it seems likely that there may be additional holes yet to be found in any given implementation.

There are other options that may be harder to understand and implement, but the trade off is that if you get them to work at all, you have probably done it safely (or more likely used a library written by a cryptographer that did it correctly) - Digital Signature Algorithm (DSA) for signing and Elliptic Curve DSA (ECDSA) and Elliptic Curve Diffie-Helman (ECDH) for key agreement which allows for encryption (via a symmetric method).




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