Cryptography
Mathematical and cryptographic concepts that secure blockchain networks and enable trustless computation.
Cryptography
intermediate1 min readUpdated: 2025-10-03
cryptographysecuritymathematics
Articles in this section
BLS Digital Signatures
support the basic properties of digital signatures: proof that the:
advanced3 min read
Commitment Schemes
Let's say you have a large amount of data that, for whatever reason, is private.
advanced4 min read
Diffie-Hellman Key Exchange
When you divide two integers, sometimes the result is not an integer (eg has a reminder). is a branch of math that is focused on the reminder.
advanced4 min read
Digital Signatures
Applying a takes data (of arbitrary contents and size) and reduces it to a unique, compact string.
advanced5 min read
Elliptic Curve Cryptography
Before we begin, a quick note.
advanced6 min read
Elliptic Curve Pairings
This is part of a series on elliptic curve cryptography and its applications for Ethereum.
advanced6 min read
Hash Functions
The purpose of a hash function is to transform any amount of data into a compact, uniform value.
advanced2 min read
KZG Commitments
Elliptic curve cryptography looks unapproachable, but it's totally understandable with a decent amount of high school algebra.
advanced5 min read
Merkle Tree
Applying a takes data (of arbitrary contents and size) and reduces it to a unique, compact string.
advanced3 min read
PCS Trusted Setup
This is part of a series on elliptic curve cryptography and its applications for Ethereum.
advanced4 min read
Polynomial Commitments
Applying a takes data (of arbitrary contents and size) and reduces it to a unique, compact string.
advanced3 min read
Polynomial Encoding
A polynomial is an equation made up of one or more groups of terms that are combined together with addition or subtraction.
advanced4 min read
Verkle Tree
A is creates a commitment that is anchored to a piece of data.
advanced6 min read
Zero-Knowledge Proof
In America, citizens don't have ID numbers... and yet we live in a society that necessitates them.
advanced3 min read
Feedback and Discussion
Was this article helpful?
Your feedback helps us improve our content.