Episode 5: Isogeny-based Cryptography for Dummies!
The NIST post-quantum competition has started a race for post-quantum cryptography. As a result, we’ve seen a great deal of research into alternative hard mathematical problems to use as a basis for public-key cryptography schemes. Lattice-based cryptography! Error-correcting code based cryptography! And of course, isogeny-based cryptography, have all received enormous renewed interest as a result.
While the NIST post-quantum competition recently announced that it’s favoring candidates founded on lattice-based cryptography, it also encouraged further research into isogeny-based cryptography. But what even is isogeny-based cryptography? Is it as intimidating as it sounds? And what’s keeping it behind on NIST’s list of post-quantum primitives?
Today, it’s my pleasure to be joined by isogeny-based cryptography researchers Luca de Feo and Hart Montgomery, co-authors of a recent publication titled “Cryptographic Group Actions and Applications”, which Luca affectionately described as a “isogeny-based cryptography for dummies” paper. We’ll be discussing isogeny-based cryptography and more.
Links and papers discussed in the show:
Music composed by Toby Fox and performed by Sean Schafianski.
This episode is sponsored by Symbolic Software. Symbolic Software helps you bring in the experience and knowledge necessary to design, or prove secure, state-of-the-art cryptographic systems for new solutions. We've helped design and formally verify some of the world's most widely used cryptographic protocols.