Cryptography

intermediate1 min readUpdated: 2025-10-03

cryptographysecuritymathematics

Mathematical and cryptographic concepts that secure blockchain networks and enable trustless computation.

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support the basic properties of digital signatures: proof that the:

Let's say you have a large amount of data that, for whatever reason, is private.

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.

Applying a takes data (of arbitrary contents and size) and reduces it to a unique, compact string.

Before we begin, a quick note.

This is part of a series on elliptic curve cryptography and its applications for Ethereum.

The purpose of a hash function is to transform any amount of data into a compact, uniform value.

Elliptic curve cryptography looks unapproachable, but it's totally understandable with a decent amount of high school algebra.

Applying a takes data (of arbitrary contents and size) and reduces it to a unique, compact string.

This is part of a series on elliptic curve cryptography and its applications for Ethereum.

Applying a takes data (of arbitrary contents and size) and reduces it to a unique, compact string.

A polynomial is an equation made up of one or more groups of terms that are combined together with addition or subtraction.

A is creates a commitment that is anchored to a piece of data.

In America, citizens don't have ID numbers... and yet we live in a society that necessitates them.