ECC is very closely related though (hidden abelian subgroup problem is the category they both fall under).
It’s actually concerning because rsa was broken. The reason we’re not using 128bit rsa keys anymore and instead using 2048bit keys is because rsa was broken by the general number field sieve. We’re now all using ecc to avoid working with very large keys but there’s no mathematical proofs that ecc is anymore difficult. In fact it’s widely believed to be the same problem underneath.
That may surprise people. ECC, the thing we rely on, is not proven except by the fact that no one has broken it yet just like rsa was until someone broke it.
It’s actually concerning because rsa was broken. The reason we’re not using 128bit rsa keys anymore and instead using 2048bit keys is because rsa was broken by the general number field sieve. We’re now all using ecc to avoid working with very large keys but there’s no mathematical proofs that ecc is anymore difficult. In fact it’s widely believed to be the same problem underneath.
That may surprise people. ECC, the thing we rely on, is not proven except by the fact that no one has broken it yet just like rsa was until someone broke it.