8,224 karma · joined August 5, 2012
Working on Fully Homomorphic Encryption at Google (see https://heir.dev)
Come say hi at j2kun@mathstodon.xyz
> the number 12 features heavily in the Bible: Jacob’s 12 sons, the 12 tribes of Israel, the 12 apostles and the crown of 12 stars in the Book of Revelation are just a few examples.
And about "aspect ratios" (the article doesn't mention aspect ratios):
> 12 is a number particularly well-suited to establishing proportions, as it has many divisors
> the apse, at 75m (7.5 × 10), followed by the vault of the transept at 60 metres (7.5 × 8). The nave vault is 45m high (7.5 × 6), the side aisle 30m (7.5 × 4), and the choir 15m (7.5 × 2).
neither 10 nor 8 are divisors of 12, and 10 has a factor of 5. TBH it seems like 15m is the base length here, not 7.5, then you get multiples 1, 2, 3, 4, and 5, but I'm guessing these sequential integers are not considered "beautiful" numbers by the author so they picked 7.5 to pigeonhole some divisors of 12 in there.
Governments that are serious about age verification and individual privacy (which, doubtful they truly are) should agree on a protocol and set up certificate issuers that are associated with a digital ID. Then age verification will not be an invasive procedure or risk data leaks or insider threats.
[1]: https://blog.cryptographyengineering.com/2026/03/02/anonymou...
One reason: automating the construction of a "trustworthy" profile lowers the bar for attackers who want to plant xz-style backdoors. Not to mention polluting the various signals people use to evaluate candidates for jobs.
Indeed, thankful for that.
I guess garbage collection is pretty advanced in the syllabus.
> But what do you do if you already live under tyranny? The rule of law is a great defense, but cryptography alone can't bring about the rule of law. What is the role of technology in this foundational struggle?
My colleague Moti Yung has studied this and there are some surprising results
https://eprint.iacr.org/2022/639
> Anamorphic Encryption: Private Communication against a Dictator
...
> In this work, as a technical demonstration of the futility of the dictator’s demands, we invent the notion of “Anamorphic Encryption” which shows that even if the dictator gets the keys and the messages used in the system (before anything is sent) and no other system is allowed, there is a covert way within the context of well established public-key cryptosystems for an entity to immediately (with no latency) send piggybacked secure messages which are, in spite of the stringent dictator conditions, hidden from the dictator itself! We feel that this may be an important direct technical argument against the nature of governments’ attempts to police the use of strong cryptographic systems, and we hope to stimulate further works in this direction.