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Foundations: Cryptography

What Is Keccak-256?Keccak-256 matters because the name hides two different realities: a broad sponge-based hash family and a specific 256-bit variant used by systems like Ethereum

What Is Keccak-256?Keccak-256 matters because the name hides two different realities: a broad sponge-based hash family and a specific 256-bit variant used by systems like Ethereum. Once you see how the sponge construction trades speed for security through the rate and capacity, the design becomes much less mysterious.Mar 21, 202621 min read

#HASH FUNCTIONS

What is a Threshold Signature Scheme (TSS)?Threshold signature schemes let a group control one signing key without ever putting the full private key in one place

What is a Threshold Signature Scheme (TSS)?Threshold signature schemes let a group control one signing key without ever putting the full private key in one place. That sounds like a small change, but it reshapes the security model: compromise now requires multiple shares, while the outside world still sees an ordinary signature.Mar 21, 202626 min read

#THRESHOLD SYSTEMS

What Are Zero-Knowledge Proofs?Zero-knowledge proofs let someone prove a statement is true without revealing the secret that makes it true

What Are Zero-Knowledge Proofs?Zero-knowledge proofs let someone prove a statement is true without revealing the secret that makes it true. That sounds paradoxical until you see the structure: the verifier gains confidence from a proof transcript, but not usable knowledge beyond the fact being proved.Mar 21, 202625 min read

What is Distributed Key Generation (DKG)?Distributed Key Generation, or DKG, solves a subtle trust problem: how do several parties end up with shares of one private key if no one should ever create that key alone? The answer is a protocol that turns secret sharing from a dealer-based ceremony into a joint computation, which is why DKG sits underneath threshold signatures, randomness beacons, and many modern custody systems

What is Distributed Key Generation (DKG)?Distributed Key Generation, or DKG, solves a subtle trust problem: how do several parties end up with shares of one private key if no one should ever create that key alone? The answer is a protocol that turns secret sharing from a dealer-based ceremony into a joint computation, which is why DKG sits underneath threshold signatures, randomness beacons, and many modern custody systems.Mar 21, 202624 min read

#THRESHOLD SYSTEMS

What is Key Resharing?Key resharing solves a subtle problem in threshold cryptography: how do you change who holds a key without changing the key itself? By redistributing fresh shares of the same secret, systems can rotate operators, recover from compromise, and keep long-lived threshold keys usable without ever reconstructing the private key in one place

What is Key Resharing?Key resharing solves a subtle problem in threshold cryptography: how do you change who holds a key without changing the key itself? By redistributing fresh shares of the same secret, systems can rotate operators, recover from compromise, and keep long-lived threshold keys usable without ever reconstructing the private key in one place.Mar 21, 202623 min read

#THRESHOLD SYSTEMS

What is a STARK?STARKs are a way to prove a computation was done correctly without making every verifier redo the work

What is a STARK?STARKs are a way to prove a computation was done correctly without making every verifier redo the work. Their importance comes from a rare combination: no trusted setup, hash-based security that is considered more plausible against quantum attacks, and verification that stays cheap even when the original computation was huge.Mar 21, 202624 min read

What is Ed25519?Ed25519 is a digital signature system that became popular because it makes the secure path unusually practical: fast verification, small keys and signatures, and deterministic signing that avoids a famous class of randomness failures

What is Ed25519?Ed25519 is a digital signature system that became popular because it makes the secure path unusually practical: fast verification, small keys and signatures, and deterministic signing that avoids a famous class of randomness failures. Its details matter, because subtle choices around validation and encoding can change whether two implementations agree that a signature is valid.Mar 21, 202624 min read

What Are Schnorr Signatures?Schnorr signatures are a digital signature scheme with unusually clean algebra: the same structure that makes them simple to verify also makes key aggregation and compact multisignatures possible

What Are Schnorr Signatures?Schnorr signatures are a digital signature scheme with unusually clean algebra: the same structure that makes them simple to verify also makes key aggregation and compact multisignatures possible. That combination of rigor and flexibility is why they matter in modern cryptography and in systems like Bitcoin Taproot.Mar 21, 202623 min read

What Are SNARKs?SNARKs solve a strange problem: how can you convince someone a huge computation was done correctly without making them redo it? Their power comes from turning many checks into a tiny proof that is fast to verify, which is why they matter for privacy systems, blockchains, and verifiable computing

What Are SNARKs?SNARKs solve a strange problem: how can you convince someone a huge computation was done correctly without making them redo it? Their power comes from turning many checks into a tiny proof that is fast to verify, which is why they matter for privacy systems, blockchains, and verifiable computing.Mar 21, 202627 min read

What is ECDSA?ECDSA is the signature system that lets a blockchain user prove control of a private key without revealing it

What is ECDSA?ECDSA is the signature system that lets a blockchain user prove control of a private key without revealing it. Its elegance hides a sharp constraint: each signature depends on a one-time secret value, and if that value is reused or leaked, the private key can fall with it.Mar 21, 202622 min read

What is a Digital Signature?Digital signatures solve a precise problem: how to make a digital message carry proof of who approved it and whether it was changed

What is a Digital Signature?Digital signatures solve a precise problem: how to make a digital message carry proof of who approved it and whether it was changed. They are the quiet mechanism behind blockchain transactions, signed software, and secure protocols — but their guarantees are narrower, and more conditional, than many people assume.Mar 21, 202625 min read

What is SHA-256?SHA-256 is the quiet workhorse behind block identifiers, commitments, address derivation, digital signatures, and many integrity checks across crypto systems

What is SHA-256?SHA-256 is the quiet workhorse behind block identifiers, commitments, address derivation, digital signatures, and many integrity checks across crypto systems. Its importance comes from a simple promise: a tiny change in input should produce a completely different 256-bit fingerprint that is easy to compute and hard to fake.Mar 21, 202624 min read

#HASH FUNCTIONS