This would massively break basically all traditional public key crypto i think (depends a bit on if it extends to eliptic-curve or just integer based RSA [edit: meant to say whether the algorithm can be adapted to solving discrete logrithms over eliptic curves]). It would be the biggest crypto thing to happen in the last 30 years at least.
The mitigation would be to move to experimental post-quantum crypto systems immediately (quantum computers have all the fuss because they can break rsa).
This is basically an unbelievable result. Without actually providing some factored numbers i am very doubtful.
[I have not read paper]
Edit: as pointed out below, i may have gotten overexcited. Still an incredible result if true.
> This would massively break basically all traditional public key crypto i think (depends a bit on if it extends to eliptic-curve or just integer based RSA).
"A bit"? A lot more than a bit. A world.
And on the surface, since it appears to be a factoring system, rather than a general purpose discrete log solver, the consequences, while incredible, are far more limited than the picture you paint. If this is even true; a matter over which I'm skeptical.
As stated in your comment, eliptic curve cryptography relies on discrete logarithm but this algorithm is a method for factoring integers, with ideas similar to the Quadratic Sieve algorithm (https://en.wikipedia.org/wiki/Quadratic_sieve).
It does not extend to breaking eliptic-curve cryptography, for the same reason that the Quadratic Sieve does not extend to eliptic-curve crypto: the underling math problem is different (factorisation vs discrete logarithm).
The mitigation would be to move to experimental post-quantum crypto systems immediately (quantum computers have all the fuss because they can break rsa).
This is basically an unbelievable result. Without actually providing some factored numbers i am very doubtful.
[I have not read paper]
Edit: as pointed out below, i may have gotten overexcited. Still an incredible result if true.