We invited Mark Schultz-Wu on the podcast to talk about the history of lattice cryptography. When lattices are explained in plain english, they are actually quite simple! I don't think any of us have ever seen Deirdre so happy. If you're watching the video version, there's a section that's 6.1 minutes long with no cuts and consists just of Deirdre vigorously agreeing with what Mark is saying while smiling. What a time to be alive.

Anyway, we are hosting another happy hour in Vegas between Black Hat and DEF CON! It's sponsored by Teleport! Thank you to Teleport, and dear readers, you should go check them out. Check out our socials or the podcast site to register.

Transcript: https://securitycryptographywhatever.com/2026/07/27/lattices-with-mark-schultz-wu/

Links:

Mark's IETF Post https://mailarchive.ietf.org/arch/msg/tls/HznE1IcCjstEjhh4M1p59qX1JlQ/
NTRU https://en.wikipedia.org/wiki/NTRU
The original lattices are hard paper https://www.scirp.org/reference/referencespapers?referenceid=3401227
The original LWE for cryptography paper https://arxiv.org/abs/2401.03703
Entropic LWE https://eprint.iacr.org/2020/119
Dilithium round 3 submission: https://pq-crystals.org/dilithium/data/dilithium-specification-round3.pdf
Recent attacks on Classic McEliece: https://eprint.iacr.org/2024/1694
Lectures on post-quantum cryptography from Alfred Menezes (an originator of elliptic curve cryptography) https://www.youtube.com/@cryptography101-alfred
Falcon https://csrc.nist.gov/csrc/media/Presentations/2024/falcon/images-media/prest-falcon-pqc2024.pdf
Regev: https://cims.nyu.edu/~regev/#research
Tightness in Proofs: https://eprint.iacr.org/2016/360.pdf

"Security Cryptography Whatever" is hosted by Deirdre Connolly (@durumcrustulum), Thomas Ptacek (@tqbf), and David Adrian (@dadrian)