
The Frozen Heart vulnerability in PlonK
By Jim Miller In part 1 of this blog post, we disclosed critical vulnerabilities that break the soundness of multiple implementations of zero-knowledge proof systems. This class of vulnerability, which we dubbed Frozen Heart, is caused by insecure implementations of the Fiat-Shamir transformation that allow malicious users to forge proofs ... Read More

The Frozen Heart vulnerability in Bulletproofs
By Jim Miller In part 1 of this series, we disclosed critical vulnerabilities that break the soundness of multiple implementations of zero-knowledge proof systems. This class of vulnerability, which we dubbed Frozen Heart, is caused by insecure implementations of the Fiat-Shamir transformation that allow malicious users to forge proofs for ... Read More

The Frozen Heart vulnerability in Girault’s proof of knowledge
By Jim Miller  In part 1 of this series, we disclosed critical vulnerabilities that break the soundness of multiple implementations of zero-knowledge proof systems. This class of vulnerability, which we dubbed Frozen Heart, is caused by insecure implementations of the Fiat-Shamir transformation that allow malicious users to forge proofs ... Read More
Part 1: Coordinated Disclosure of Vulnerabilities Affecting Girault, Bulletproofs, and PlonK
By Jim Miller Trail of Bits is publicly disclosing critical vulnerabilities that break the soundness of multiple implementations of zero-knowledge proof systems, including PlonK and Bulletproofs. These vulnerabilities are caused by insecure implementations of the Fiat-Shamir transformation that allow malicious users to forge proofs for random statements. We’ve dubbed this ... Read More

Disclosing Shamir’s Secret Sharing vulnerabilities and announcing ZKDocs
By Filipe Casal and Jim Miller Trail of Bits is publicly disclosing two bugs that affect Shamir’s Secret Sharing implementation of Binance’s threshold signature scheme library (tss-lib) and most of its active forks. Here is the full list of affected repositories: Binance’s tss-lib Clover Network’s threshold-crypto Keep Network’s keep-ecdsa Swingby’s ... Read More

ECDSA: Handle with Care
The elliptic curve digital signature algorithm (ECDSA) is a common digital signature scheme that we see in many of our code reviews. It has some desirable properties, but can also be very fragile. For example, LadderLeak was published just a couple of weeks ago, which demonstrated the feasibility of key ... Read More
Themes from Real World Crypto 2020
Over 642 brilliant cryptographic minds gathered for Real World Crypto 2020, an annual conference that brings together cryptographic researchers with developers implementing cryptography in the wild. Overall, RWC 2020 was an impressive conference that demonstrated some amazing work. Here we explore three major themes that emerged: Crypto bugs are everywhere...Whether ... Read More

Multi-Party Computation on Machine Learning
During my internship this summer, I built a multi-party computation (MPC) tool that implements a 3-party computation protocol for perceptron and support vector machine (SVM) algorithms. MPC enables multiple parties to perform analyses on private datasets without sharing them with each other. I developed a technique that lets three parties ... Read More