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To close things off, we look at homomorphic encryption again, this time on rings!

With this fourth article, we finish our brief pass through Bitcoin by looking at a couple missing key points.

Time to build some cryptographic methods out of rings and their associated hard problems

Let’s shift our focus to how a decentralized system can agree on a single truth: through consensus.

Now that we know about rings, we need a hard problem to work out some cryptography from them — enter Ring Learning With Errors!

Let's focus on the lifeblood of Blockchains early: Transactions!

We embark on a new journey, where we explore the amazing technology of Blockchains

Before moving onto the latest frontier of cryptography — post-quantum cryptography — , we need to lay down some more groundwork!

Following from SNARKs, we now explore another type of knowledge proofs tailored for scalability