A quiet change to RSA
Over the course of years, RSA implementations gradually replaced Euler's totient function with Carmichael's totient function.
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Over the course of years, RSA implementations gradually replaced Euler's totient function with Carmichael's totient function.
Send and receive money as easily as sending a text, across apps, borders, and currencies.
This article is archived on mirror.xyz , and attracted discussion on Hacker News Generated by this notebooklm Gene Spafford "Using encryption on the…
Today, we open sourced our Zero-Knowledge Proof (ZKP) libraries, fulfilling a promise and building on our partnership with Sparkasse to support EU age assurance.
Introduction Quadratic funding has received a lot of attention recently as a mechanism for funding public goods. The Gitcoin grants program alone has distributed over $59M through QF funding rounds as of January 20241.\nQF is appealing because it is theoretically optimal under certain assumptions2. The problem is that…
Thanks to Jesse Richardson for discussion. Polymarket asks: will Jesus Christ return in 2025? In the three days since the market opened, traders have wagered over $100,000 on this question. The mar…
This post will examine the cryptography behind passkeys, the guarantees they do or do not give, and interesting cryptographic things you can do with them, such as generating cryptographic keys and storing certificates.
On April 9, 2025, someone risked $2.5 million on SPY call options—and walked away with $70+ million in under an hour. The trade was placed at 1:01 pm. At 1:30 pm, Trump announced tariff pauses. The market exploded upward. These options that cost 85 cents were suddenly worth more than $25.
Today, President Trump announced that the US Government would begin using taxpayer dollars to systematically buy up a variety of cryptocurrencies. Crypto prices shot up on the news. This is revealing, as crypto boosters have argued for years that cryptocurrency has legitimate economic value as a payment system outside…
The $1.5B Bybit Hack demonstrates how the Era of Operational Security Failures has arrived, and most cryptocurrency companies are not prepared for its implications.
Vanguard's thought leaders share timely insights about international financial markets, investor behavior, and the investment industry.
An investigation into how malicious nodes run by Chainalysis made their way into defaults of popular Monero wallets.
Bluenoroff or APT38, more commonly referred to as Lazarus Group is a threat group which has been tied to the North Korean government since as early as 2009 primarily being financially motivated utilizing malware custom built for each target.
Learn to write and modify Zero Knowledge Proofs from scratch. You'll build a digital signature scheme using hash-based commitments, gaining practical ZKP programming skills and intuition along the way. By the end, you'll have all the tools you need to implement things like group signatures.
Among the cryptographic missteps we see at Trail of Bits, “let’s build our own tool out of a hash function” is one of the most common. Clients have a problem along the lines of “we need to hash a bunch of different values together” or “we need a MAC” or “we need […]
You might be hearing a lot about post-quantum (PQ) cryptography lately, and it’s easy to wonder why it’s such a big deal when nobody has actually seen a quantum computer. But even if a quantum computer is never built, new PQ standards are safer, more resilient, and more flexible than their classical […]
You receive a message. Now either you will be victim or not. Your knowledge, attention and moral compass will decide where you will end up.
In April 2024, I found and reported two critical bugs to Sei Network concerning their layer-1 blockchain. One of these issues impacted the chain’s availability, and the other its integrity. The Sei Foundation awarded me $75,000 and $2,000,000 respectively for these reports.
On March 13, the Dencun hard fork activated, enabling one of the long-awaited features of Ethereum: proto-danksharding (aka EIP-4844 , aka blobs). Initially, the fork reduced the transaction fees of rollups by a factor of over 100, as blobs were nearly free. In the last day, we finally saw blobs spike up in volume and…
Large-scale quantum computers are capable of breaking all of the common forms of asymmetric cryptography used on the Internet today. Luckily, they don’t exist yet. The Internet-wide transition to post-quantum cryptography began in 2022 when NIST announced their final candidates for key exchange and signatures in the…
The majority of the EU Parliament's lead committees today approved far-reaching new anti-money laundering laws: Anonymous cash payments over €3,000 will be banned in commercial transactions. Cash payments over €10,000 will even be completely banned in business transactions. And anonymous payments in
Read on to understand how Google currently evaluates the threat landscape related to post-quantum cryptography, and what implications this has for migrating from classical cryptographic algorithms to PQC.
Edit: There’s a short follow-up to this post: Exodus Bitcoin Wallet: Follow up. tl;dr: A Bitcoin investor was recently scammed out of 9 Bitcoin (worth around $490K) in a fake “Exodus wallet” desktop application for Linux, published in the Canonical Snap Store. This isn’t the first time, and if nothing changes, it…
KYC was sold as a way to stop criminals. In practice it excludes the unbanked, leaks personal data on dark web markets, and surveils everyone else.
Taxable Anonymous Libre Electronic Reserves
Filecoin Foundation successfully deploys IPFS in space. Discover the details of this groundbreaking achievement.
No. Not anymore. Because we have the data, if we are trading secondaries, people will always worry that we are using the data, even if we…