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9 votes
Accepted

State of research on SHA-1 Collision Attacks

SHA-1 was SHattered by Stevens et al. They demonstrated that collisions in SHA-1 are practical. They give the first instance of a collision for SHA-1. It is an identical-prefix collision attack that ...
kelalaka's user avatar
  • 206
9 votes
Accepted

Factoring assuming smoothness of some numbers

See my paper with Eric Bach, "Factoring with cyclotomic polynomials", where we show that if the cyclotomic polynomial $\Phi_k(p)$ is $B$-smooth for any $p$ dividing $N$, then we can factor $N$ in time ...
Jeffrey Shallit's user avatar
6 votes
Accepted

Is a "complete" cipher possible?

Yes, you can use Levin universal search to construct a "universal one-way function" (e.g., these lecture notes). From this one-way function you can then construct symmetric-key encryption primitives (...
mikero's user avatar
  • 2,799

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